The Numerical Miraculousness of the Qur'an: Evaluating Rashad Khalifa's 52 Claims

Document Type : Research Paper

Authors

1 Assistant professor, Interdisciplinary Qur’anic Studies Research Institute, Shahid Beheshti University, Tehran, Iran

2 Master of Qur’an and Hadith sciences, Interdisciplinary Qur’anic Studies Research Institute, Shahid Beheshti University, Tehran, Iran

10.37264/JIQS.V2I2December2023.1

Abstract

The study of the dimensions of the Qur’an's miraculous nature has been a central focus of Qur’anic scholars since the time of its revelation. Numerous aspects have been identified as facets of the Qur’an's miraculousness. One such aspect, arguably first significantly claimed by Rashad Khalifa, is the mathematical structure or numerical miraculousness of the Qur’an. Khalifa published his findings in a book titled "Qur’an: Visual Presentation of the Miracle," wherein he outlined 52 examples of the Qur’an's mathematical miracles. These examples include 21 cases of word and letter repetitions, 2 cases of abjad letter calculations, and 29 cases involving the Qur’an's disjointed letters (al-ḥurūf al-muqaṭṭaʿāt), all connected to the number 19, which Khalifa considered a divine code. This study first reflects on the concept of the Qur’an's numerical miracle and outlines criteria for its verification. Subsequently, it examines Khalifa's computational criteria and evaluates all 52 of his claims. Upon thorough review, it was determined that Khalifa's calculations and conclusions are either incorrect or lack at least one necessary condition for establishing a numerical miraculousness.

Keywords


1. Introduction

The precise onset of specialized discussions on the Qur’an's miraculousness is unclear, but it likely began in the early centuries following the Qur’an's revelation. Since then, the exploration of the Qur’an's miraculous aspects has consistently engaged Qur’anic scholars, identifying over 80 facets of the Qur’an's miraculous nature (Rezaei Esfahani 2013). The Qur’an, as evidence of the Prophet's (PBUH) prophethood and a guide for humanity, was revealed in a time and place where Arabic eloquence and rhetoric were at their peak. Some disbelievers regarded the Qur’an as ancient myths, claiming they could produce a similar text (Q. 8:31), to which the Qur’an challenged them. This challenge, however, is perpetual and not limited to the Qur’an's initial revelation period (Tabataba'i 2011, 1:57). Nonetheless, some Qur’anic scholars like Aisha Abd al-Rahman (2003, 68-65), argue that while the Qur’an remains eternal, its challenge is no longer applicable today. Abdullah Darraz (1997) states that anyone doubting the Qur’an's miraculousness and its inimitability should consult the scholars of their time; if they concede, it affirms the Qur’an's miraculous nature, as history shows no one has succeeded in this challenge.

The concept of scientific miracles in the Qur’an refers to instances where the Qur’an, a religious text revealed over 1400 years ago, is believed to contain knowledge that aligns with or anticipates modern scientific understanding. This idea posits that certain verses in the Qur’an, despite being revealed in a pre-scientific era, contain descriptions or allusions to natural phenomena that have only been confirmed through contemporary scientific research (Barati & Paymard 2022, Shojaie & Mazaheri Tehrani 2022, Besharati & Besharati 2022, Moradi 2022, Koutb 2022, Jafari 2023). Proponents argue that such instances serve as evidence of the Qur’an’s divine origin, suggesting that the knowledge contained within it could not have been known by any human at the time of its revelation.

In recent centuries, one claimed aspect of the Qur’an's miraculous nature is its numerical structure. Although some attribute the numerical miracle concept to al-Suyūṭī, there is no evidence supporting this. Therefore, Rashad Khalifa is often recognized as the first to propose the Qur’an's numerical miracle, although it remains unproven and is considered an extraordinary phenomenon rather than a definitive miracle (Rezaei Esfahani 2013).

Numerous studies have criticized Khalifa's claims and the broader concept of the Qur’an's numerical miracle. While these efforts are valuable, they often lack comprehensive criteria for establishing a numerical miracle and do not fully address all 52 of Khalifa's claims. Given the interest in numerical and mathematical relationships in the Qur’an, it is crucial to establish clear criteria for a numerical miracle. Khalifa's claims warrant thorough examination to discern valid claims and prevent the propagation of incorrect ideas. This research aims to answer whether a numerical miracle in the Qur’an can be proven and, if so, what criteria it must meet. It also evaluates whether Khalifa's 52 claims can be accepted as a numerical miracle. The paper will review the literature on the numerical miracle, define key concepts, and analyze Khalifa's claims in detail.

 

2. Literature Review

Contemporary Qur’anic scholars have examined the Qur’an's numerical structure through various lenses, such as the repetition of letters, words, verses, and chapters. Proponents of the numerical miracle argue that the Qur’an's mathematical structure is a sign of its miraculous nature, asserting that no author could create such a structure by chance. Rashad Khalifa, in his book, claims the Qur’an is based on the number 19, with astonishing numerical relationships in its verses, chapters, letters, and words. However, this theory has faced significant criticism from scholars and Qur’anic commentators, resulting in numerous studies and publications addressing and criticizing the numerical miracle.

Abd al-Razzaq Nawfal (1987) discusses numerical patterns in word repetition, claiming equal repetition of synonymous and antonymous words in the Qur’an. Rafiq Abu al-Saud (1993) similarly highlights key word repetitions in his book. Abd al-Daem al-Kaheel (2005) provides evidence for the numerical miracle in the Qur’an's verses, chapters, entire text, disjointed letters, and stories. Nasser Makarem Shirazi (1993) discusses Khalifa's work without passing judgment, suggesting that further study is needed.

Opponents of the numerical miracle include Hussein Naji Muhammad Mohyiddin (1984), who in "Nineteen angels (a statement that the falsehood of the numerical miracle of the Qur’an is a Baha’i deception)," rejects Khalifa's claims and associates the number 19 with Bahaism. Yazdani (1996) in his article, "The Numerical Miracle and Mathematical Order of the Qur’an," criticizes Khalifa's work as a deviation. Muhammad Hassan Hito (1989) supports Mohyiddin's views in "The Qur’anic Miracle: Scientific and Unseen Miracles." Bassam Nihad Jarrar (1994), in "The Miracle of Number 19 in the Holy Qur’an," accuses Khalifa of fabricating evidence to support his claims. In the book "The Miracle of the Qur’an: Statistical Analysis of the Disjointed Letters" by Ayatollahi (1986), the author examines the disjointed letters in general and then conducts a statistical analysis of each letter in various chapters of the Qur’an. In "The Mathematical Challenge of the Holy Qur’an with Other Books" by Vahedian (1972), the author uses mathematical methods to demonstrate the order in the number and verses of the Qur’an. He also claims that Rashad Khalifa, in his translation of the Qur’an, disrupted the order based on the number 19 by omitting two verses.

Alavi (2007), in his book "The Qur’an and Mathematics," specifically examines the theory of the numerical miracle of the Qur’an and seeks to prove the existence of mathematical order and proportion within its structure. He particularly focuses on the numbers 7 and 19 in the Qur’an, arguing that these numbers hold special significance. The author provides evidence and examples from the Qur’an to support the theory of the numerical miracle. In the article by Talebpour et al. (2022) titled "Introducing a Novel Method in Evaluating the Scientific Miracles of the Qur’an," a specific mathematical order method is mentioned in the classification section of methods for proving the miracles of the Qur’an. The challenges of this method are identified as its generalizability, logic, lack of ambiguity, and the impossibility of replication by humans.

Up to now, many articles have examined the claims of the numerical miracles of the Qur’an, e.g. "Numerical Miracle and Mathematical Order in the Qur’an" by Yazdani (1996); "The Numerical Miracle of the Qur’an: Truth or Illusion? " by Qadouri (2005; 2006); "Research on the Theory of the Numerical Miracle and Mathematical Order of the Qur’an" by Nowruzi (2007); "Evaluation and Critique of the Theory of the Numerical Miracle of the Holy Qur’an" by Pahlevan and Shafiei (2009); "A Bibliography of Numerical and Mathematical Miracles in the Qur’an" by Nowruzi (2011); "Review of the Numerical Miracle of the Holy Qur’an from Abd al-Razzaq Nawfal's view" by Karimi Nia (2011); and "Review and Analysis of the Numerical Miracle in the Holy Qur’an" by Ahmadi Amouyi and Farahmand (2020).

The literature review indicates that opinions on the numerical miracles of the Qur’an are varied. Some deny it, some seek to prove it, and others believe that the numerical miracle, as an aspect of the Qur’an's miraculous nature, cannot be proven and is merely an intriguing proportionality of numbers.

 

3. Concepts and Terminology

In any scientific discussion, defining key terms is essential for clarity. This section explains the main terms used in this study.

3.1. Disjointed Letters

Of the 114 Qur’anic chapters, 29 begin with disjointed letters (al-ḥurūf al-muqaṭṭaʿāt), comprising half of the 28 Arabic alphabet letters: alif, hā, ḥā, ṭā, yā, kāf, lām, mīm, nūn, sīn, ʿayn, ṣād, qāf, rā. These letters appear at the beginning of chapters after Basmalah (Fazeli Biarjmandi 2009). They are often seen as mysterious symbols at the start of certain Qur’anic chapters (Anvari 2002, 2506).

3.2. Abjad Letters

Abjad letters represent numbers (Anvari 2002, 210). The most common abjad system divides the letters into eight groups, mirroring the Hebrew-Aramaic alphabet. This similarity suggests that Arabs adopted their alphabet from the Hebrew-Aramaic system (Moein 1985, 119).

3.3. Basmalah

The phrase bism al-lāh al-raḥmān al-raḥīm (Basmalah) starts Qur’anic chapters, except for Surah al-Tawbah, which lacks the Basmalah due to its denunciation of polytheists. However, Surah al-Naml contains the Basmalah twice (Fazeli Biarjamandi 2009).

 

4. Defining the Numerical Miracle of the Qur’an

This section reviews Qur’anic scholars' views on the numerical miracle and outlines criteria for its validation. Some researchers see the numerical miracle as a miraculous numerical order, implying that the precise repetition of letters and words in the Qur’an signifies its divine origin, as no human author could achieve such order (Yazdani 1996). Nawfal (1987), following Khalifa, argues that numbers in the Qur’an are miraculous, requiring divine power. He emphasizes the importance of recognizing this aspect due to the advancements in mathematics and its significance. The Encyclopedia of Qur’anic Sciences defines the numerical miracle as a form of content-related miracle, indicating a unique numerical harmony in the Qur’an. Saravi (2007) highlights the precise arrangement of words and their derivatives in the Qur’an as examples of the numerical miracle. Karimi Nia (2008, 152) views numerical miracles as significant in an age focused on science, suggesting that if proven scientifically, they could reveal many hidden truths in the Qur’an. Yazdani (1996, 257) emphasizes that while precise repetition in the Qur’an exists, its miraculously numerical nature requires further verification.

Careful consideration of these definitions reveals that many Qur’anic scholars believe in the existence of mathematical order within the Qur’an, which some refer to as numerical miracles, while others do not hold this view. It appears that if extraordinary numerical and mathematical order exists in the Qur’an, or any other text, that surpasses human capability, it can be considered a form of miracle (Talebpour et al. 2022). For such a claim of numerical miracles in the Qur’an (or any other text) to be valid, it must meet the following conditions:

  • Non-trivial Mathematical Relationships: For instance, if someone claims that the repetition of several words in the Qur’an is independently a multiple of 19 and in a separate claim that their sum is also a multiple of 19, the second claim is self-evident and not independent of the first one. Since we know that if several numbers are multiples of another number, their sum is also a multiple of that number (e.g., see Khalifa's 25th claim evaluation).
  • General and Not Subjective Mathematical Relationships: The relationships should be general and logical, not complex or subjective and individual to each case. For example, Khalifa's 15th claim involves a formula where if the three Basmalah of Surahs al-Fātiḥah, Hūd, and al-Naml (which are in the beginning of al-Fātiḥah and within the text of the other two) are added with the sum of verse numbers and surah numbers, the result is 114, which is a multiple of 19. This mathematical relationship is complex, follows no specific logic, and is not used elsewhere.
  • Probability of Randomness is Close to Zero: For example, if someone claims that the repetition of the letter "S" in a text is a multiple of two, the probability of this feature occurring by chance in any text is 50%, and it cannot alone be considered a miracle.
  • Incapable of Being Reproduced by Humans: The wonder must exceed normal limits, making intentional achievement nearly impossible. For example, merely having a word or letter in a surah or even the entire Qur’an be a multiple of a specific number—however large—alone is insufficient to prove a numerical miracle.

It is evident that the four mentioned conditions are all necessary and sufficient for achieving a numerical miracle, and the absence of any of these conditions can seriously challenge the claim of a numerical miracle.

 

5. Rashad Khalifa and the Claim of the Numerical Miracle of the Qur’an

To date, the theory of the numerical miracle of the Qur’an and Khalifa's claims have been a topic of discussion among Muslim scholars and thinkers. In the continuation of the discussion, we will first provide a brief biography of him and then examine the computational criteria for counting letters and words in his theory of the numerical miracle of the Qur’an.

Khalifa, who claimed the theory of the numerical miracle of the Qur’an, was born into a Sufi family in Egypt. He completed his primary and secondary education in his hometown of Tanta. He then went to Cairo for higher education and studied at Ain Shams University in agriculture. He continued his higher education at the University of California, Riverside, obtaining a Ph.D. in plant biochemistry in 1961. After receiving his doctorate, Khalifa worked at the same university. He believed that the number 19 was the key to the Qur’an's miraculous code. For three years, with the help of a computer, he identified instances of the number 19 or its multiples in the Qur’an (Ayatollahi 1986).

In the preface to his book, Khalifa described the Qur’an as a sensory miracle with a mathematical and astonishing order among its letters and words, presenting this order as proof of the Qur’an's preservation and miracle. He claimed that this great Qur’anic secret was revealed by him after the Prophet's era, referencing verse 88 of Surah al-Isrāʾ. To prove his claim, he pointed to verses 30 and 31 of Surah al-Muddaththir, stating that the guardians of Hell are 19. He also introduced himself as one of the messengers in his translation of the Qur’an for verse 3 of Surah Yāsīn (Figure 1).

Figure 1. Image from Rashad Khalifa's Qur’an Translation (2000).[1]

The above image is an excerpt from Khalifa's Qur’an translation. Under the third verse of Surah Yāsīn (Indeed, you are one of the messengers), he introduces himself as a messenger, writing, "Most assuredly, you (Rashad) are one of the messengers" (Khalifa 2000, 264). He also cites verse 40 of Surah al-Aḥzāb, introducing Prophet Muhammad (PBUH) as the last prophet, stating, "Despite the clear and explicit introduction of this verse regarding Prophet Muhammad (PBUH), most Muslims insist that he is both the last prophet and the last messenger," which he considers a tragic human disaster. According to him, Prophet Muhammad (PBUH) is the last prophet but not the last messenger, and he introduces himself as one of the messengers who discovered the Qur’an's mathematical code (Khalifa 2000, 254).

According to Khalifa in his book, inspired by verses 30 and 31 of Surah al-Muddaththir, he outlines five objectives for the selection of the number 19:

  1. A punishment for disbelievers.
  2. To convince Jews and Christians that the Qur’an is a divine book.
  3. To strengthen the faith of believers.
  4. To remove doubts from the hearts of Muslims, Christians, and Jews about the authenticity of the Qur’an.
  5. To expose the hypocrites and disbelievers who do not accept the numerical order of the Qur’an (Khalifa 1982).

In his book, Khalifa makes 52 claims about the connection of the Qur’an's numbers and repetitions with the number 19, considering this the greatest miracle of the Qur’an in the present age. In this study, the criteria for counting words and letters in Khalifa's theory are examined. These criteria are extracted by meticulously reviewing all of Khalifa's claims in his book and calculating them according to his counting in his tables. The criteria for Khalifa's calculation of letters and words are as follows:

  • The alif maqṣūrah is not counted as a letter.
  • The shaddah (tashdīd) is not counted as two letters (e.g., Q. 96:1).
  • In the discussion of the initial phrase of the Qur’anic surahs, Khalifa only considers Basmalah in Surah al-Fātiḥah as part of the Qur’an (although he occasionally deviates from this rule in counting disjointed letters).
  • Since Khalifa used a corpus where the words wa and are attached to the next words, he does not count them as separate words in his calculations, unlike other similar words, whereas he does count (e.g., Q. 96:5, 110:3; 68:1).
  • Calculations are based on the Uthmanic script rather than its pronunciation (e.g., the term yā ayyuhā is counted as one word).
  • In the letter count, a standalone hamza is counted as one letter (e.g., jā'a in Q. 110:1).
  • Khalifa considers verses Q. 9:128-129 to be interpolations and does not include them in his calculations (Khalifa 2000).

 

6. Evaluation of Rashad Khalifa's Claims

In this section, each of Khalifa's claims from his book (1982) will be listed, followed by an evaluation and critique from two perspectives. The first aspect is to assess the accuracy of the calculations according to Khalifa's criteria. The second, more significant aspect is to determine whether these claims align with the criteria for numerical miracles, implying that even if some calculations are correct, it is debatable whether they can be considered miraculous. Efforts have been made to accurately represent Khalifa's claims, including direct quotations from his book, and where specific calculations are referenced, attempts have been made to include images from his book.

6.1. Claim 1

The first and most crucial verse of the Qur’an, bism Allāh al-raḥmān al-raḥīm (Q. 1:1) consists of 19 letters.

Evaluation: According to Khalifa's criteria for counting letters, this claim is correct. He does not count the shaddah as a separate letter and considers only the written letters (following the Uthmanic script) without including read but unwritten letters. However, it should be noted that this specific instance, based on particular criteria, does not constitute a miraculous or superhuman feature on its own.

6.2. Claim 2

The Qur’an has 114 surahs, which is a multiple of 19. The last surah of the Qur’an (Surah 114) is al-Nās, which has 6 verses: 19×6 = 114

Evaluation: The fact that the Qur’an has 114 surahs, a multiple of 19, is accurate and noteworthy. However, the second part of the claim, which extracts the multiple of 19 from the number of verses in Surah al-Nās, is subjective and lacks general applicability.

6.3. Claim 3

The first verses revealed to the Prophet are the initial verses of Surah al-ʿAlaq, which consist of 19 words.

Evaluation: In counting the words, Khalifa uses a specific method previously mentioned. Moreover, this claim pertains to the narrative context and the occasions of revelation, which is a subject of dispute and not directly linked to the Qur’an. Additionally, if this approach was consistently applied in other sections, it would be more acceptable.

6.4. Claim 4

The total number of letters in the first five verses of Surah al-ʿAlaq is 76, a multiple of 19.

Evaluation: The issues raised in the previous claim apply here as well.

6.5. Claim 5

The total number of verses in Surah 96 is 19.

Evaluation: This claim is not directly related to the Qur’an and requires verification of the contextual narrations. While the calculation according to Khalifa's criteria is correct, focusing only on the total number of verses in this surah (not just the initially revealed verses) makes the claim subjective and lacking general applicability.

6.6. Claim 6

If the surahs of the Qur’an are counted from the end to the beginning, Surah al-ʿAlaq is the 19th surah.

Evaluation: The calculation is correct. However, the subjective nature of this counting method (from the end rather than the beginning) makes it less generally applicable.

6.7. Claim 7

The total number of letters in Surah al-ʿAlaq is 285, a multiple of 19.

Evaluation: This claim also pertains to the narrative context and requires contextual verification. Moreover, this type of calculation (total letters in the surah) is not repeated in subsequent revelations, making this claim specific to the first revelation and lacking general applicability.

6.8. Claim 8

The last revelation of the Qur’an consists of 19 words.

Evaluation: This claim, too, pertains to the narrative context and requires contextual verification. Although the calculation is correct, unlike the first revelation, the total number of letters in the last revelation is 80, which is not a multiple of 19. Furthermore, the last revelation is not considered to be these verses; the last complete surah is Surah al-Naṣr. Therefore, the first complete surah is al-Fātiḥah, not the initial verses of Surah al-ʿAlaq.

6.9. Claim 9

The first verse of the last revelation (Surah al-Naṣr) contains 19 letters.

Evaluation: First, the claim depends on the accuracy of the narrative context, which has not been substantiated. Second, there is no unique characteristic of the first verse of this surah that warrants counting its letters. Third, why focus on letters and not words? This claim exemplifies highly subjective and non-general claims, suggesting that Khalifa is making considerable effort to find the number 19 rather than the number revealing itself as a miracle in the Qur’an.

6.10. Claim 10

The second revelation of the Qur’an, in the order of revelation (Q. 68:1-9), consists of 38 words, a multiple of 19.

Evaluation: Besides the critique under the third claim, the second revelation in narrative contexts is the first 6 verses of Surah al-Qalam, not the first 9 (Majlisī 1982, 18: 229). Furthermore, why were the letters not counted in this instance as they were for Surah al-ʿAlaq? This claim, therefore, does not meet the criterion of generality in numerical miracles.

6.11. Claim 11

The third revelation of the Qur’an, in the order of revelation (Q. 73:1-10), consists of 57 words, a multiple of 19.

Evaluation: Besides the claim not being purely related to the Qur’an, like claims 9 and 10, the order of revelation has not been consistently followed. According to some commentators, Surah al-Muzzammil was revealed early in Mecca and some believe it was the second or third surah revealed to the Prophet (Tabataba'i 2011, 20:60). Others also mention that Surah al-Muzzammil was revealed after Surah al-Qalam, except for verses 10, 11, 12, and 20, which some commentators believe were revealed later. Some also believe that, given the coherence and connection of these verses with the previous ones, they were revealed simultaneously, but verse 20 was revealed at a different time. Therefore, Surah al-Muzzammil was revealed gradually and consists of two units of revelation: verses 1 to 19 and verse 20 (Gharavi 2017).

6.12. Claim 12

The fourth revelation of the Qur’an (Q. 74:1-30) contains the number 19.

Evaluation: In addition to the claim not being purely related to the Qur’an, the reference to the first 30 verses of Surah al-Muddaththir as the fourth revelation is not substantiated. Furthermore, why were no calculations made for the number of verses, words, or letters in the fourth revelation and only the mention of the number 19 in the 30th verse was considered? These factors indicate the non-generality of the claims for proving numerical miracles.

6.13. Claim 13

In the order of revelation, immediately after the number 19 mentioned in Q. 74:30, Surah al-Fātiḥah was revealed, the first verse of which, bism Allāh al-raḥmān al-raḥīm (Q. 1:1), contains 19 letters.

Evaluation: Besides the fact that the claim depends on the accuracy of the narrative context, it is clear that the entire Surah al-Fātiḥah was revealed together, and according to previous instances, either the number of verses, the number of words, or the number of letters should be multiples of 19, while he has only calculated the letters of Basmalah. Furthermore, it is claimed that Surah al-Fātiḥah was revealed immediately after verse Q. 74:30, but no historical references are mentioned to support this claim.

6.14. Claim 14

All words in the opening phrase of the Qur’an, bism Allāh al-raḥmān al-raḥīm (Q. 1:1), are repeated in the entire Qur’an in multiples of 19. The first word, ism, is repeated 19 times in the Qur’an.

Evaluation: The word ism is repeated 14 times, the word bi-ism 4 times, al-ism once, and bism 3 times in the Qur’an, making a total of 22, not 19. Furthermore, Khalifa claimed that each word in the phrase Basmalah is repeated in multiples of 19 in the Qur’an, but if the first word is ism, there are 22 instances. If only bism is considered, there are three instances, and if bism and bi-ism are combined, there are seven instances. None of these conditions result in the number 19 or its multiple. Here, Khalifa subtracted 3 instances of bism from 22 ism to reach 19, which is clearly complex and lacks logic.

6.15. Claim 15

The word bism with this unusual spelling appears three times in Surahs 1, 11, and 27. If we sum the number of occurrences (3) with the Surah numbers containing this word (1+11+27) and the verse numbers in which bism appears in these Surahs (1+41+30), we obtain the number 114, which is a multiple of 19. 6×19=114=30+27+41+11+1+1+36

Evaluation: This claim is a perfect example of complexity and lack of logic.

6.16. Claim 16

The second word of the opening phrase, Allah, appears 2698 times in the Qur’an, which is a multiple of 19.

Evaluation: It appears that Khalifa calculated this number as follows: the word Allah appears 2505 times, lil-lāh 143 times, bil-lāh 140 times, tal-lāh 9 times, fal-lāh 6 times, and fa-lil-lāh 6 times in the Qur’an, totaling 2809. Since Khalifa considers only Basmalah in Surah al-Fātiḥah as part of the Qur’an, by subtracting the 112 occurrences of Basmalah, the number 2697 is obtained. However, contrary to his computational criteria, he includes Allah in Q. 9:129. As previously mentioned, Khalifa omitted the last two verses of Surah al-Tawbah in his translation of the Qur’an and did not consider them part of the Qur’an. Nonetheless, Allah in these two verses is also counted, which contradicts his criteria.

Figures 2, 3, and 4 show excerpts from tables in Khalifa's book indicating the Surahs and verses where the word Allah is used. A detailed examination of Khalifa's calculations regarding the word Allah in the Qur’an led to the following conclusions:

  • Contrary to his computational criteria, the word Allah was counted in Q. 9:129.
  • In Q. 46:23, he counted two instances of Allah instead of one, but did not count the one instance in verse 33.
  • In Q. 58:4, he counted three instances of Allah whereas only two exist.
  • In Q. 4:64, he counted two instances of Allah instead of three.
  • In Q. 5:47, he counted three instances of Allah instead of two.

Ultimately, based on Khalifa's computational criteria, the word Allah appears 2697 times in the Qur’an, which is not a multiple of 19.

Figure 2. An image from Rashad Khalifa's book (1982) on the computational method for counting Allah in Surah al-Tawbah.

Figure 3. An image from Rashad Khalifa's book (1982) on the computational method for counting Allah in Surah al-Mujādalah.

Figure 4. An image from Rashad Khalifa's book (1982) on the computational method for counting Allah in Surah al-Aḥqāf.

6.17. Claim 17

The third word in the opening phrase, al-raḥmān, appears 57 times in the Qur’an, which is a multiple of 19. The total repetition of the word al-raḥmān (157 times), bil-raḥmān (3 times) and lil-raḥmān (9 times) is 169, and subtracting the 112 occurrences of al-raḥmān in Basmalah gives 57.

Evaluation: Excluding the phrase Basmalah at the beginning of the Surahs (except for Surah al-Fātiḥah), the calculations are correct, and this word is the only one in the phrase Basmalah, whose repetition in the Qur’an is a multiple of 19 without manipulation. However, on its own, it cannot be considered a non-human feature.

6.18. Claim 18

The fourth word in the opening phrase, al-raḥīm, appears 114 times in the Qur’an, which is a multiple of 19. The total repetition of the word al-raḥīm (146 times) and raḥīm (81 times) is 227, subtracting the 112 occurrences of Basmalah results in 115. Since Khalifa considers verses 128 and 129 of Surah al-Tawbah to be interpolations and not part of the divine revelation, he does not count raḥīm in Q. 9:128. Excluding this word from the total repetition makes Khalifa's total (114) correct. Some scholars argue that the reason for not counting is that raḥīm in this verse is an attribute of the Prophet not Allah. However, according to Khalifa's criteria, the last two verses of this Surah are interpolations (Alavi 2007).

Evaluation: The claim of interpolation in the Qur’an, especially in two verses that no one has previously claimed to be interpolations, seems unfounded. Moreover, the argument that raḥīm was not counted because it is not an attribute of Allah in this verse does not seem valid. This is because, firstly, Khalifa did not make this argument, and secondly, with regard to counting the repetitions of the word ism, the uses of this word for others than Allah, such as Yaḥyā and Jesus, were counted.

6.19. Claim 19

The total of the multiples of 19 related to the repetition of the words in the opening phrase of the Qur’an, Basmalah, is 152, which itself is a multiple of 19.

Evaluation: Khalifa's calculations in counting the repetition of these words are incorrect, so the claim based on these calculations is also incorrect.

6.20. Claim 20

The number of repetitions of each word in Basmalah according to the Abjad numerology corresponds to a specific name of God. After calculating the Abjad values of all the names of God in the Qur’an, it was revealed that only four names are multiples of 19, which are related to the words in Basmalah:

  • The first word bism appears 19 times in the Qur’an, corresponding to the name Wāḥid whose Abjad value is 19.
  • The second word Allah appears 2698 times in the Qur’an, corresponding to the name dhū al-faḍl al-ʿaẓīm whose Abjad value is 2698.
  • The third word al-raḥmān appears 57 times in the Qur’an, corresponding to the name Majīd whose Abjad value is 57.
  • The fourth word al-raḥīm appears 114 times in the Qur’an, corresponding to the name Jāmiʿ whose Abjad value is 114.

Evaluation: Firstly, Abjad numerology is not related to the Qur’an. Secondly, Khalifa claimed that only four names of God in the Qur’an have Abjad values that are multiples of 19, while the Abjad values of the names Arḥam al-rāḥimīn (589) and Khayr al-fāṣilīn (1102) are also multiples of 19. Thirdly, if we use the Uthmanic script, the Abjad value of the word Wāḥid is 18 and not a multiple of 19.

6.21. Claim 21

The Qur’an contains 114 Surahs, and in the ninth Surah, Basmalah is absent. However, this omission is compensated in Q. 27:30, thus making the total occurrences of the opening phrase in the Qur’an 114, which is a multiple of 19.

Evaluation: This claim is correct in its calculations but does not imply any non-human characteristic. It should be noted that in Khalifa's claims, the occurrences of Basmalah at the beginning of Surahs (except Surah al-Fātiḥah) are selectively counted. In some cases, they are included, and in others, they are not, which undermines the generality of his claims.

6.22. Claim 22

Between the beginning of the ninth Surah (where Basmalah is not mentioned) and the additional Basmalah in Surah 27, there are 19 Surahs.

Evaluation: There are 17 or at most 18 Surahs between these Surahs, and one should not count both the starting and ending Surahs when calculating the interval. However, if it is said that from the point where Basmalah is absent to where the additional Basmalah appears (in Surah al-Naml), there are 19 Surahs mentioned, it would be acceptable, although it would not count as the interval between Surahs and would not fully account for Surah al-Naml.

6.23. Claim 23

The 50th Surah is named Qāf, which starts with the disjointed letter qāf. According to our calculation, the letter qāf appears 57 times in this Surah, which is a multiple of 19.

Evaluation: Although his calculations are correct, this alone cannot prove numerical miracle since such a pattern could be intentionally designed and is not beyond human capability.

6.24. Claim 24

The only other Surah that begins with the disjointed letter qāf is Surah 42 (al-Shūrā). The letter qāf also appears 57 times in this Surah, which is a multiple of 19. An interesting point is that despite the length of Surah al-Shūrā being nearly twice that of Surah Qāf, the number of occurrences of the letter qāf in both Surahs is exactly 57.

Evaluation: The critique of Claim 23 applies here as well.

6.25. Claim 25

According to the opening verse of Surah 50, the letter qāf is the first letter of the word Qur’an. The total occurrences of this letter in the two Surahs containing the disjointed letter qāf equal the number of Surahs in the Qur’an, which is 114, a multiple of 19.

Evaluation: This claim has two parts: the total occurrences of the letter qāf in these two Surahs is 114, and this number (114) is a multiple of 19. In critique, it is noted that while the number 114 is the count of Surahs in the Qur’an, for Khalifa, its multiple of 19 is significant. However, when two numbers are multiples of 19, it is obvious that their sum is also a multiple of 19, and this does not constitute a new claim (different from Claims 23 and 24). Additionally, this type of reasoning is not commonly presented in Khalifa's other claims and lacks generality.

6.26. Claim 26

In the opening verse of Surah Qāf, the Qur’an is described as majīd, whose Abjad value equals 57, the same as the number of occurrences of qāf in the Surahs with the disjointed letter qāf.

Evaluation: Besides the lack of connection between Abjad letters and the Qur’an, in the beginning of Surah Ṣād, the Qur’an is also described as dhī al-dhikr, and neither the letter ṣād nor the Abjad value of dhī al-dhikr is a multiple of 19 or equal to each other. Hence, this claim is subjective and lacks generality.

6.27. Claim 27

Example: The people who did not believe in Lūṭ are called qawm throughout the Qur’an, except in Surah 50, Qāf, where they are called ikhwān. It is clear that if they were called qawm like in other places, it would have affected the count of the letter qāf in this Surah. Other examples: The letter ṣād in Surah Ṣād (Q. 38:13) and the word Bakkah instead of Makkah in Surah Āli ʿImrān (Q. 3:96), which begins with the disjointed letter mīm.

Evaluation: Although this claim is correct in its calculations and reasoning, similar numerical patterns do not exist in the other instances mentioned (in Surah Ṣād and Surah Āli ʿImrān). Thus, this claim also lacks generality to establish numerical miracles.

  • The similar claim about the word aṣḥāb in Surah Ṣād is not correct. The letter ṣād appears 29 times in this Surah.
  • The similar claim about the word Bakkah in the third Surah is also not correct. The letter mīm counts to 1249 with the Basmalah, and 1245 without counting it in the Basmalah, neither of which is a multiple of 19.

6.28. Claim 28

Surah 68 begins with the letter nūn and contains 133 nūns, which is a multiple of 19.

Evaluation: According to the Uthmanic script, the letter N is counted as one letter in the first verse, but in Khalifa's book, it is written as nūn and counted as two letters. As previously mentioned, Khalifa's calculations are based on the Uthmanic script. If the disjointed letters are to be counted based on their pronunciation and not the script, then the other calculations should also follow this method. For example, in the disjointed letters ḤM, the phrase ḥām mīm should be considered, and the letter mīm should be counted three times. Therefore, in this case, the calculations are not only incorrect, but it also strengthens the suspicion of striving to achieve the number 19 at any cost.

6.29. Claim 29

The disjointed letter ṣād appears in three Surahs, al-Aʿrāf, Maryam and Ṣād, with a total occurrence of 152, a multiple of 19.

Evaluation: Although the numbers mentioned are correct in terms of calculations, the question arises as to why, unlike the letter qāf in Surahs Qāf and al-Shūrā, which were individually calculated and were multiples of 19, this was not done here. This inconsistency undermines the generality of the claim.

6.30. Claim 30

Surah 36 of the Qur’an named Yāsīn, begins with the two disjointed letters yā and sīn. The total occurrences of these two letters in this Surah is 285, which is 19 multiples.

Evaluation: Here, Khalifa has counted the occurrences of and sīn in the Basmalah as well, contrary to his own criteria. Even ignoring this issue, he calculated the total occurrences of and sīn in Surah Yāsīn, whereas in Surah al-Shūrā, only qāf was counted, and the calculations for other disjointed letters ḥā mīm ʿayn sīn qāf were not considered as a total. This inconsistency indicates the subjective and unregulated nature of these claims.

6.31. Claim 31

Seven Surahs begin with the disjointed letters ḥā and mīm, which are Surahs 40 to 46. The total occurrences of these two letters in these seven Surahs is 2147, which is a multiple of 19.

Evaluation: A similar critique to Claim 30 applies here.

6.32. Claim 32

The seven Surahs that begin with the disjointed letters ḥā mīm are divided into two groups by the phrase ʿayn sīn qāf in Q. 42:2, with the occurrences of ḥā and mīm in both parts being multiples of 19.

Evaluation: According to Khalifa's calculations for counting the letters ḥā and mīm in these seven Surahs, his claim in this regard is incorrect. Based on his claim, Surahs Ghāfir, Fuṣṣilat, and the first verse of Surah al-Shūrā fall into one group. Counting the disjointed letters ḥā and mīm in the first part results in 775, which is not a multiple of 19. The second group includes the third verse of Surah al-Shūrā onwards and Surahs al-Zukhruf, al-Dukhān, al-Jāthīyah, and al-Aḥqāf. Counting the disjointed letters ḥā mīm in the second part results in 1372, which is also not a multiple of 19. Moreover, the critique of complex relationships and lack of generality applies here as well.

6.33. Claim 33

The total occurrences of the letters ḥā and mīm in the previous Surah (Q. 41), the subsequent Surah (Q. 43), and Surah 42, which contains the dividing phrase ʿayn sīn qāf, is 1045, which is a multiple of 19.

Evaluation: The critique of this claim is related to the previous claim. If the number of ḥā mīm is examined according to Khalifa's claim, it must be said that the number of ḥā and mīm in Surah Fuṣṣilat, including the ḥā in the Basmalah of this Surah and ḥā mīm in the first verse, equals 327, which is not a multiple of 19. In the second part of the claim, the total occurrences of ḥā mīm in Q. 43 is 368, and from the third verse onwards, it is 350, totaling 718, which is not a multiple of 19.

6.34. Claim 34

The total occurrences of the letters ḥā and mīm in the three subsequent Surahs (i.e., Q. 44-46) along with the first Surah of this category (Q. 40) is 1102, which is a multiple of 19.

Evaluation: In this claim, regardless of the accuracy of the calculations, the subjective and unregulated nature is evident.

6.35. Claim 35

The disjointed letters ʿayn sīn qāf appear in Surah 42, and the total occurrences of these letters in this Surah is 209, which is a multiple of 19.

Evaluation: In this claim, apart from the issue of considering the letters in the Basmalah in the calculation, excluding the phrase ḥā mīm from the disjointed letters of this Surah further shows the lack of generality in the claim and the effort to achieve the number 19 at any cost.

6.36. Claim 36

The 19th Surah, named Maryam, contains five disjointed letters kāf hā yā ʿayn ṣād, with a total occurrence of these 5 letters in this Surah being 798, which is a multiple of 19.

Evaluation: Aside from the accuracy in counting the letters and considering the Basmalah in this count, the lack of generality in this claim is evident, as there is no consistent method for counting the disjointed letters in Surahs containing these letters. Those with a total occurrence that is a multiple of 19 are presented, while others that do not have this feature are not mentioned.

6.37. Claim 37

There is an intricate relationship among the disjointed letters , ṭā hā, ṭā sīn, and ṭā sīn mīm in Surahs 19, 20, 26, 27, and 28, such that the total occurrences of these letters in these 5 Surahs is 1767, which is a multiple of 19.

Evaluation: Here too, since the occurrences of the disjointed letters in these Surahs do not individually become multiples of 19 in any way, their total count reaches a multiple of 19 in a very unregulated and subjective manner.

6.38. Claim 38

The total frequency of the letters alif, lām and mīm in Q. 2 is 9899, which is a multiple of 19.

6.39. Claim 39

The total frequency of the letters alif, lām and mīm in Q. 3 is 5662, which is a multiple of 19.

6.40. Claim 40

The total frequency of the letters alif, lām and mīm in Q. 29 is 1672, which is a multiple of 19.

6.41. Claim 41

The total frequency of the letters alif, lām and mīm in Q. 30 is 1254, which is a multiple of 19.

6.42. Claim 42

The total frequency of the letters alif, lām and mīm I Q. 31 is 817, which is a multiple of 19.

6.43. Claim 43

The total frequency of the letters alif, lām and mīm in Q. 32 is 570, which is a multiple of 19.

6.44. Claim 44

The total frequency of the letters alif, lām and rā in Q. 10 is 2489, which is a multiple of 19.

6.45. Claim 45

The total frequency of the letters alif, lām and rā in Q. 11 is 2489, which is a multiple of 19. The claim is written incorrectly.

6.46. Claim 46

The total frequency of the letters alif, lām and rā in Q. 12 is 2375, which is a multiple of 19.

6.47. Claim 47

The total frequency of the letters alif, lām and rā in Q. 14 is 1197, which is a multiple of 19.

6.48. Claim 48

The total frequency of the letters alif, lām and rā in Q. 15 is 912, which is a multiple of 19.

6.49. Claim 49

The total frequency of the letters alif, lām, mīm and in Q. 13 is 1482, which is a multiple of 19.

6.50. Claim 50

The total frequency of the letters alif, lām, mīm and ṣād in Q. 7 is 5320, which is a multiple of 19.

Evaluation: From Claim 38 to 50, disregarding some inaccuracies in calculating certain letters (e.g., the letter lām in Q. 11 and the letter ṣād in Q. 7), the issue mentioned in Claim 36 still applies. Although the repetition of these letters in these Surahs being multiples of 19 does not constitute a numerical miracle due to its lack of generality across all Surahs containing disjointed letters, if more precise calculations were performed, the improbability of such a coincidence would be significant.

6.51. Claim 51

The number of distinct letters in the disjointed letters of the Qur’an is 14, and there are 14 different combinations of these letters used as disjointed letters in the Qur’an. Additionally, the number of Surahs that begin with disjointed letters is 29. Summing these three numbers gives us 57, which is a multiple of 19.   

Evaluation: Although the sum of these three numbers equals 57 and is a multiple of 19, the reason for selecting these three numbers is unclear and seems arbitrary. For example, one could also include the total number of disjointed letters (considering repetitions) or sum the Surah numbers that contain disjointed letters and add them to this set. In any case, the criterion for why these three numbers should be summed together is not explicitly stated.

6.52. Claim 52

The Qur’an teaches us that the disjointed letters are a miracle of the Qur’an. This is stated in verses Q. 10:1, 12:1, 13:1, 15:1, 26:2, 27:1, 28:2, and 31:2. The phrase, these are the miracles of this book, is mentioned only in connection with the disjointed letters.

Evaluation: Critically, one can argue that firstly, the phrase āyāt al-kitāb does not necessarily mean the miracles of the book, and many interpretations exist for it. Secondly, even if this statement is true, it does not demonstrate that there is a mathematical and numerical pattern in the disjointed letters; it merely suggests that these letters are considered signs and miracles. Thirdly, this claim is not considered numerical or mathematical.

 

7. Conclusion

In this study, after defining the criteria for achieving a numerical miracle in the Qur’an or any other text, the claims of one of the most important figures in the establishment of numerical miracles were fully evaluated, and it was determined that his claims generally lack the necessary conditions for a numerical miracle in the Qur’an. Rashad Khalifa's 52 claims regarding the numerical miracle of the Qur’an were evaluated from the perspectives of the accuracy of calculations and compliance with the four necessary conditions of a numerical miracle. Although a consistent method was not always used in the calculations, the majority of the claims did not have issues with numerical accuracy. Khalifa's claims can be divided into five sections:

  1. The relationship of the disjointed letters with the number 19 (29 claims).
  2. The relationship of the occasions of revelation with the number of Qur’anic letters and words as multiples of 19 (11 claims).
  3. Use of the Abjad letters to show the connection of the Qur’an with the number 19 (2 claims).
  4. Miscellaneous, including counting Surahs, words, and letters in the Qur’an and their connection to the number 19 (9 claims).
  5. Non-numerical (1 claim).

The evaluation of the claims, disregarding those with incorrect calculations or based on false premises, can be summarized in seven sections:

  1. Claims that are not directly related to the Qur’an and whose proof depends on the accuracy of secondary claims, such as the occasions of revelation (12 cases).
  2. Claims that, even with accurate calculations, lack non-human and extraordinary characteristics (5 cases).
  3. Claims that are arbitrary and lack generality, sometimes using multiple standards for calculations (27 cases).
  4. Claims that are complex and do not follow specific rules and logic (2 cases).
  5. Claims whose accuracy depends on the exclusion of some verses from the Qur’anic text (5 cases).
  6. A claim that is mathematically obvious and not an independent claim (1 case).
  7. A claim that is not numerical and mathematical, but interpretative and arbitrary, without involving calculations (1 case).

It is noteworthy that both the selection of the number 19 by Rashad Khalifa is considered a significant innovation and that the correct claims indicate the possibility of intentional connections around the number 19 in the Qur’an by Allah. However, it is evident that this paper does not aim to negate the numerical and mathematical miracle of the Qur’an per se, but rather, assuming the conditions for achieving it, accepts numerical miracles as one aspect of the miraculous nature of the Qur’an and opens a way to evaluate other works written on the mathematical pattern of the Qur’an.

 

[1] To view all figures and tables, download the full article PDF.

Abd al-Rahman, A. (2003). The Rhetorical Miracle of the Qur’an. Transl. H. Saberi. Tehran: Scientific and Cultural Publications.
Abu al-Saud, R. (1993). Modern Scientific and Numerical Miracles in the Qur’an (in Arabic). Cairo: Dār al-Shurūq.
Ahmadi Amouyi, H. & Farahmand, M. J. (2020). Review and Analysis of the Numerical Miracle in the Holy Qur’an (in Persian). Proceedings of the International and National Conference on Management and Humanities Research, Iran.
Alavi, S. M. K. (2007). The Qur’an and Mathematics (in Persian). Qom: Bustan Kitab.
Al-Kaheel, A. D. (2005). The Encyclopedia of Digital Miracle of the Holy Qur’an (in Arabic). Damascus: Dār al-Fikr al-Muʿāṣir.
Al-Majlisī, Muḥammad Bāqir (1982). Biḥār al-Anwār al-Jāmiʿah li-Durar Akhbār al-A'immah al-Aṭhār. Beirut: Dār al-Ihyā’ al-Turāth al-ʿArabī.
Anvari, H. (2002). Comprehensive Dictionary of Sokhan. Tehran: Sokhan.
Ayatollahi, S. M. T. (1986). The Miracle of the Qur’an: Statistical Analysis of the Disjointed Letters (in Persian). Shiraz: Shiraz University Press.
Barati, G. & Paymard, F. (2022). Scientific Explanation of Hail Based on the Verse 43 of Surah al-Nūr from the Noble Qurʼan. Journal of Interdisciplinary Qur'anic Studies, 1(1), 23-41. http://dx.doi.org/10.37264/JIQS.V1I1.2
Besharati, M. & Besharati, Z. (2022). Reinterpretation of “the Darkness of the Three” in Verse 6 of Surah al-Zumar, in Light of the Components of the Scientific Miracle of the Qur’an. Journal of Interdisciplinary Qur'anic Studies, 1(1), 83-105. http://dx.doi.org/10.37264/jiqs.v1i1.6
Darraz, M. A. (1997). The Great News: New Perspectives on the Holy Qur’an (in Arabic). Damascus: Dār al-Qalam.
Fazeli Biayarjamandi, S. A. (2009). Qur’anic Information: A Guide for Students and Families (in Persian). Qom: Maysam Tammar.
Gharavi, A. R. (2017). The Historical arrangement of the verses of Surah al-Muzzammil. Farhang-e Pazhouhesh, 10(30), 5-27. http://dx.doi.org/10.22081/fpq.2017.66317
Hito, M. H. (1989). The Qur’anic Miracle: Scientific and Unseen Miracles (in Arabic). Beirut: al-Rasālah
Jafari, M. (2023). Study on Possibility of Miracle in the Qur'an Verses 55:19-22: How Qur'an Has Revealed the Formation Process of Pearls and Coral from River to Sea. Journal of Interdisciplinary Qur'anic Studies, 2(1). http://dx.doi.org/10.37264/jiqs.v2i1june2023.5
Jarrar, B. N. (1994). The Miracle of the Number 19 in the Holy Qur’an (in Arabic). Beirut: Dār al-Nafa'is.
Karimi Nia, M. (2011). Review of the Numerical Miracle of the Holy Qur’an from Abd al-Razzaq Nawfal's view (in Persian).  Higher Education Center for Qur’an and Hadith.
Khalifa, R. (1982). Qur’an: Visual Presentation of the Miracle. Islamic Productions.
Khalifa, R. (2000). Qur’an: The Final Testament (Authorized English Version with Arabic Text). Fremont: Universal Unity.
Koutb, M. (2022). Water Breakdown during Photosynthesis and Transpiration in Plants as a Scientific Miracle in the Qur’an. Journal of Interdisciplinary Qur'anic Studies, 1(2). http://dx.doi.org/10.37264/jiqs.v1i2.9
Makarem Shirazi, N. (1993). Tafsir Nemooneh. Tehran: Dār al-Kutub al-Islāmīyyah.
Moein, M. (1985). Persian Dictionary. Tehran: Amir Kabir Publishing Institute.
Mohyiddin, H. N. M. (1984). Nineteen Angels (a statement that the falsehood of the numerical miracle of the Qur’an is a Baha’i deception) (in Arabic). Cairo: al-Zahrā lil-Iʿlām al-ʿArabī.
Moradi, M. (2022). The Scientific Explanation of Ṣayḥah as a Divine Punishment of Some Ancient Tribes Mentioned in the Qur’an. Journal of Interdisciplinary Qur'anic Studies, 1(2). http://dx.doi.org/10.37264/jiqs.v1i2.2
Nawfal, A. (1987). The Numerical Miracle of the Holy Qur’an (in Arabic). Beirut: Dār al-Kitāb al-ʿArabī.
Nowruzi, M. (2007). Research on the Theory of the Numerical Miracle and Mathematical Order of the Qur'an. Qur’anic Researches, 12(48), 142-173.
Nowruzi, M. (2011). A Bibliography of Numerical and Mathematical Miracles in the Qur’an. Ayeneh-ye- Pazhoohesh, 22(127), 83-99.
Pahlevan, M., & Shafiei, S. (2009). Evaluation and Theoretical Criticism of Numerical Miracle of the Holy Quran. Quranic Sciences and Tradition, 42(1), 57-76.
Qadouri al-Hamad, G. (2005). The Numerical Miracle of the Qur’an: Truth or Illusion? Transl. H. Alinaghian. Journal of Qur’anic Education, 11.
Qadouri al-Hamad, G. (2006). The Numerical Miracle of the Qur’an: Truth or Illusion? Transl. H. Alinaghian. Journal of Qur’anic Education, 12.
Rezaei Esfahani, M. A. (2013). Qur’anic Sciences 2: Miracles in Natural and Human Sciences (in Persian). Qom: Al-Mustafa International Translation and Publishing Center.
Saravi, P. (2007). Review of Achievements in the Field of the Numerical Miracle of the Qur’an (in Persian). Bayenat, 14(55), 52-65.
Shojaie, H., & Mazaheri Tehrani, B. (2022). Formation of the Universe from the Viewpoint of the Quran and Science. Journal of Interdisciplinary Qur'anic Studies, 1(1), 43-56. http://dx.doi.org/10.37264/jiqs.v1i1.3
Tabataba'i, M. H. (2011). Al-Mīzān fī Tafsīr al-Qur’an. Qom: Jāmiʿah Mudarrisīn.
Talebpour, A., Rohani Mashhadi, F., & Moradi, M. (2022). Introducing an Original Method in Evaluating the Scientific Miracle of the Qur’an. Journal of Interdisciplinary Qur'anic Studies, 1(1), 5-21. http://dx.doi.org/10.37264/jiqs.v1i1.1
Vahedian, D. (1972). The Mathematical Challenge of the Holy Qur’an with Other Books. Tehran: University of Tehran Press.
Yazdani, A. (1996). The Numerical Miracle and Mathematical Order of the Qur’an. Journal of Philosophy and Theology, 67, 62-84.