153 (number)

Last updated

152 153 154
Cardinal one hundred fifty-three
Ordinal 153rd
(one hundred fifty-third)
Factorization 32 × 17
Divisors 1, 3, 9, 17, 51, 153
Greek numeral ΡΝΓ´
Roman numeral CLIII
Binary 100110012
Ternary 122003
Senary 4136
Octal 2318
Duodecimal 10912
Hexadecimal 9916

153 (one hundred [and] fifty-three) is the natural number following 152 and preceding 154.

Contents

In mathematics

The number 153 is the 17th triangular number. The colours show that 153 is also the sum of the first five positive factorials. 153 Triangular.gif
The number 153 is the 17th triangular number. The colours show that 153 is also the sum of the first five positive factorials.

The number 153 is associated with the geometric shape known as the Vesica Piscis or Mandorla. Archimedes, in his Measurement of a Circle , referred to this ratio (153/265), as constituting the "measure of the fish", this ratio being an imperfect representation of . [1]

As a triangular number, 153 is the sum of the first 17 integers, and is also the sum of the first five positive factorials: . [2]

The number 153 is also a hexagonal number, and a truncated triangle number, meaning that 1, 15, and 153 are all triangle numbers.

The distinct prime factors of 153 add up to 20, and so do the ones of 154, hence the two form a Ruth-Aaron pair.

Since , it is a 3-narcissistic number, and it is also the smallest three-digit number which can be expressed as the sum of cubes of its digits. [3] Only five other numbers can be expressed as the sum of the cubes of their digits: 0, 1, 370, 371 and 407. [4] It is also a Friedman number, since 153 = 3 × 51.

The Biggs–Smith graph is a symmetric graph with 153 edges, all equivalent.

Another feature of the number 153 is that it is the limit of the following algorithm: [5] [6] [7]

  1. Take a random positive integer, divisible by three
  2. Split that number into its base 10 digits
  3. Take the sum of their cubes
  4. Go back to the second step

An example, starting with the number 84:

There are 153 uniform polypeta that are generated from four different fundamental Coxeter groups in six-dimensional space.

The sum of the first eight Heegner numbers is 153.

In the Baháʼí Faith

The Hidden Words authored by Baháʼu'lláh who Baháʼís believe is the third Abrahamic Manifestation of God after Jesus, contains 153 proverbial expressions, 71 in Arabic and 82 in Persian.

In the Bible

Appearance on Lake Tiberias by Duccio, 14th century, showing Jesus and the 7 fishing disciples (with Saint Peter leaving the boat) The miracle of the Catch of 153 fish.jpg
Appearance on Lake Tiberias by Duccio, 14th century, showing Jesus and the 7 fishing disciples (with Saint Peter leaving the boat)

The Gospel of John (chapter 21:1–14) includes the narrative of the miraculous catch of 153 fish as the third appearance of Jesus after his resurrection. [8]

The number is clearly an intentional detail, given the lack of precision and detail elsewhere in the story. [9] [10] Augustine of Hippo argued that the significance lay in the fact that 153 is the sum of the first 17 integers (i.e. 153 is the 17th triangular number), with 17 representing the combination of divine grace (the seven gifts of the Holy Spirit) and law (the Ten Commandments). [11] [12] Many theologians have lent credence to Augustine's numerology simply because it comes from historic rather than contemporary theology. [10] Theologian D. A. Carson discusses this and other interpretations and concludes that "if the Evangelist has some symbolism in mind connected with the number 153, he has hidden it well", [13] while other scholars note that "no symbolic significance for the number of 153 fish in John 21:11 has received widespread support." [14]

Jerome reached much the same conclusion as Augustine that the figure is an allegorical representation of totality, but through more straightforward means rather than through numerology. [10] In his Commentary on Ezekiel he propounded the hypothesis that 153 was meant to represent the whole universe of fish, citing as proof that contemporary poets, giving Oppian as an example, believed that there were 153 species of fish in the world. [10] [9] However, Robert M. Grant disproved Jerome's hypothesis by noting that Oppian actually enumerated only 149 (as catalogued by Alexander William Mair) fish species in his Halieutica (or only 152 "by adding 3 worms", in Grant's words). [10] [15] [16] What Oppian actually said, moreover, was that only the gods knew the number; and other ancient authors gave different numbers that still were not 153, such as Pliny The Elder in Naturalis Historia (9.43) recording only 74, 104, or 144 (depending from how one counts, and whether one includes hard shelled animals) species of fish, and Quintus Ennius as reported by Apuleius enumerating "countless kinds of fish". [15] [16] [17] "Every ancient ichthyologian counted the number of species differently." stated Grant. [16]

David Strauss had in fact pointed out the same thing about Oppian in his Leben Jesu the century before Grant. [18] From a strictly biological point of view, moreover, only 24 species of fish had been recorded in the Sea of Galilee by the turn of the 20th century. [19] Theologians have continued to support Jerome's hypothesis despite Grant and Strauss, arguing variously that Jerome may have had access to other works of Oppian that are now lost, that Oppian was writing a century after the Gospel of John and at least came close, and that perhaps (despite his having mentioned Oppian by name) Jerome's reference to multiple writers actually meant other writers entirely. [15] Grant himself opined that "there is every reason to suppose" that in fact Jerome had not actually checked Oppian's writing directly for this information, but was rather recounting secondhand some earlier Christian commentary on the Gospel of John. [16]

Many other numerological interpretations have been propounded, from adding numerological representations of Simon's name to the Greek word for fish through the additions (100+50+7) of Cyril of Alexandria to the multiplications (17×3×3) of Gregory the Great. [20] [18] [21] Frédéric Louis Godet characterized them as "strange". [18] There were at least 18 distinct numerological explanations when John Emerton performed "a quick survey" in 1958. [22] Emerton proceeded to then add a gematrial explanation, to which 8 others have been added since. [22] Professor of the New Testament, Craig S. Keener observed in 2010 the several gematrial explanations, critiquing ideas such as reversing the order of the Greek alphabet as being "forced", noting that a "children of God" reading of the number "import[s] a ministry image from Mark 1:17 that John never mentions", and commenting on allegorical suggestions linking to Moses that "one wonders whether John could have expected any members of his original audience to catch"; summarizing that gematrial explanations that many scholars have put forward are too complex to be discovered without starting from the answer desired and working backwards from there, and that the plethora of such explanations all distinct from one another itself indicates their weakness. [23]

However, there have been more prosaic and literal explanations, including the simple straightforward one that the detail is simply correct, and 153 is the number of fish caught. [20] John Bernard argued by quoting Edwin Hatch that "The idea that ancient literature consists of riddles which it is the business of modern literature to solve has passed for ever away", pointing out the irony of a Gnostic-like search for meaning in the tale when John himself was simply being quite literal. [20] [24] [25] Godet, likewise, asserted that it was just "a simple fact recalled to mind". [26]

R. Alan Culpepper (who was dean of the McAfee School of Theology at Mercer University) observed, in his 2021 overview of seven distinct classes of argument about the number, that whilst there are arguments in favour of symbolic interpretations "Nevertheless, the text gives no basis for interpreting the number." [20] Professor of New Testament Studies Timothy James Wiarda stated that "It is sufficient to note that the text offers the reader no hint concerning any symbolism in the miraculous catch of fish.". [27] Keener, having discounted gematria, Jerome (per Grant and Strauss), and Augustine (with a simple analysis of how probable it is to pick numbers that have at least some special property, be that they are triangular, square, prime, or otherwise), concludes that the straightforward explanation is the more likely one and that "the number could simply stem from an accurate memory of a careful count on the occasion", quoting Archibald Macbride Hunter in his 1965 Cambridge Bible Commentaries that it is "no more symbolical than the hundred yards that Peter swam. It is the remembered number of a 'bumper' catch." [17] [28]

Culpepper's three other classes (aside from Jerome, literalism, gematria, and Augustine) are algebraic interpretations based on 153 itself, algebraic interpretations based on the number 17, and the hypothesis that the symbolic meaning of the number exists but is no longer discoverable. [20]

Cornelius à Lapide writes that the "multitude of fishes mystically represents the multitude of the faithful which Peter and the Apostles afterwards caught by the net of evangelical preaching, and converted to Christ". [29]

Writers claiming a major role for Mary Magdalene have noted that in Greek isopsephy her epithet "η Μαγδαληνή" bears the number 8 + 40 + 1 + 3 + 4 + 1 + 30 + 8 + 50 + 8 = 153, thus, it is suggested, revealing her importance. [30] Similarly, the phrase "τὸ δίκτυον" (the net) used in the passage bears the number 1224 = 8 × 153, [30] as do some other phrases. The significance of this is unclear, given that Koine Greek provides a choice of several noun endings [31] with different isopsephy values. [32] The number 153 has also been related to the vesica piscis, with the claim that Archimedes used 153 as a "shorthand or abbreviation" [30] for the square root of 3 in his On the Measurement of the Circle . However, examination of that work [33] shows this to be only partly correct. [5]

Evagrius Ponticus referred to the catch of 153 fish, as well as to the mathematical properties of the number (153 = 100 + 28 + 25, with 100 a square number, 28 a triangular number and 25 a circular number) when describing his 153-chapter work on prayer. [34] Louis de Montfort, in his fifth method of saying the Rosary, connects the catch of 153 fish with the number of Hail Marys said (3 plus 15 sets of 10), [35] while St Paul's School in London was founded in 1512 by John Colet to teach 153 poor men's children, also in reference to the catch. [36]

In the military

HMAS Stuart (FFH 153) in 2006 HMAS Stuart FFH 153.jpg
HMAS Stuart (FFH 153) in 2006

In the 39th Brigade Combat Team, Arkansas Army National Guard, the two maneuver battalions are of the 153d Infantry Regiment, 1BN 153IN units located in the southwestern part of Arkansas, 2BN 153IN located in the north central region of Arkansas.

In transportation

In sports

In radio and TV

Donebach's radio masts in 2004 Sender Donebach.jpg
Donebach's radio masts in 2004

In other fields

153 is also:

See also

Related Research Articles

<span class="mw-page-title-main">Book of Jonah</span> Book of the Bible

The Book of Jonah is one of the twelve minor prophets of the Nevi'im ("Prophets") in the Hebrew Bible, and an individual book in the Christian Old Testament. The book tells of a Hebrew prophet named Jonah, son of Amittai, who is sent by God to prophesy the destruction of Nineveh, but attempts to escape his divine mission.

<span class="mw-page-title-main">Gematria</span> Numerology method

Gematria is the practice of assigning a numerical value to a name, word or phrase by reading it as a number, or sometimes by using an alphanumerical cipher. The letters of the alphabets involved have standard numerical values, but a word can yield several values if a cipher is used.

<span class="mw-page-title-main">Jerome</span> 4th- and 5th-century priest and theologian

Jerome, also known as Jerome of Stridon, was an early Christian priest, confessor, theologian, translator, and historian; he is commonly known as Saint Jerome.

<span class="mw-page-title-main">Matthew the Apostle</span> Christian evangelist and apostle

Matthew the Apostle is named in the New Testament as one of the twelve apostles of Jesus. According to Christian traditions, he was also one of the four Evangelists as author of the Gospel of Matthew, and thus is also known as Matthew the Evangelist.

<span class="mw-page-title-main">Raymond E. Brown</span> American priest and biblical scholar (1928-1998)

Raymond Edward Brown was an American Sulpician priest and prominent biblical scholar. He was a specialist on the hypothetical Johannine community, which he speculated contributed to the authorship of the Gospel of John, and he also wrote studies on the birth and death of Jesus.

<span class="mw-page-title-main">John 21</span> Chapter of the New Testament

John 21 is the twenty-first and final chapter of the Gospel of John in the New Testament of the Christian Bible. It contains an account of a post-crucifixion appearance in Galilee, which the text describes as the third time Jesus had appeared to his disciples. In the course of this chapter, there is a miraculous catch of 153 fish, the confirmation of Peter's love for Jesus, a foretelling of Peter's death in old age, and a comment about the beloved disciple's future.

<span class="mw-page-title-main">Life of Jesus</span> Life of Jesus as told in the New Testament

The life of Jesus is primarily outlined in the four canonical gospels, which includes his genealogy and nativity, public ministry, passion, prophecy, resurrection and ascension. Other parts of the New Testament – such as the Pauline epistles which were likely written within 20 to 30 years of each other, and which include references to key episodes in the life of Jesus, such as the Last Supper, and the Acts of the Apostles, which includes more references to the Ascension episode than the canonical gospels also expound upon the life of Jesus. In addition to these biblical texts, there are extra-biblical texts that Christians believe make reference to certain events in the life of Jesus, such as Josephus on Jesus and Tacitus on Christ.

The Gospel of the Nazarenes is the traditional but hypothetical name given by some scholars to distinguish some of the references to, or citations of, non-canonical Jewish-Christian Gospels extant in patristic writings from other citations believed to derive from different Gospels.

<span class="mw-page-title-main">Genealogy of Jesus</span> Ancestry of Jesus

The New Testament provides two accounts of the genealogy of Jesus, one in the Gospel of Matthew and another in the Gospel of Luke. Matthew starts with Abraham and works forwards, while Luke works back in time from Jesus to Adam. The lists of names are identical between Abraham and David, but differ radically from that point. Matthew has twenty-seven generations from David to Joseph, whereas Luke has forty-two, with almost no overlap between them or with other known genealogies.⁠ They also disagree on who Joseph's father was: Matthew says he was Jacob, while Luke says he was Heli.

<span class="mw-page-title-main">Joseph Fitzmyer</span> American biblical scholar (1920-2016)

Joseph Augustine Fitzmyer was an American Catholic priest and scholar who taught at several American and British universities. He was a member of the Society of Jesus (Jesuits).

<span class="mw-page-title-main">Augustinian hypothesis</span> Theory on origin of synoptic gospels

The Augustinian hypothesis is a solution to the synoptic problem, which concerns the origin of the Gospels of the New Testament. The hypothesis holds that Matthew was written first, by Matthew the Evangelist. Mark the Evangelist wrote the Gospel of Mark second and used Matthew and the preaching of Peter as sources. Luke the Evangelist wrote the Gospel of Luke and was aware of the two Gospels that preceded him. Unlike some competing hypotheses, this hypothesis does not rely on, nor does it argue for, the existence of any document that is not explicitly mentioned in historical testimony. Instead, the hypothesis draws primarily upon historical testimony, rather than textual criticism, as the central line of evidence. The foundation of evidence for the hypothesis is the writings of the Church Fathers: historical sources dating back to as early as the first half of the 2nd century, which have been held as authoritative by most Christians for nearly two millennia. Adherents to the Augustinian hypothesis view it as a simple, coherent solution to the synoptic problem.

<span class="mw-page-title-main">John Mark</span> Biblical saint

John Mark is named in the Acts of the Apostles as an assistant accompanying Paul and Barnabas on their missionary journeys. Traditionally he is regarded as identical with Mark the Evangelist, the traditional writer of the Gospel of Mark.

<span class="mw-page-title-main">Frédéric Louis Godet</span>

Frédéric Louis Godet was a Swiss Protestant theologian.

<span class="mw-page-title-main">Parable of the Hidden Treasure</span> Parable taught by Jesus of Nazareth according to the Christian Gospel of Matthew

The Parable of the Hidden Treasure is a well known parable of Jesus, which appears in Matthew 13:44, and illustrates the great value of the Kingdom of Heaven. It immediately precedes the parable of the Pearl, which has a similar theme. The parable has been depicted by artists such as Rembrandt.

<span class="mw-page-title-main">Luke 5</span> Chapter of the New Testament

Luke 5 is the fifth chapter of the Gospel of Luke in the New Testament of the Christian Bible, traditionally attributed to Luke the Evangelist, a companion of Paul the Apostle on his missionary journeys. The chapter relates the recruitment of Jesus' first disciples and continues to describe Jesus' teaching and healing ministry. Early criticism from the Jewish religious authorities is encountered as the chapter progresses.

<span class="mw-page-title-main">Miraculous catch of fish</span> Two miracles of Jesus

The miraculous catch of fish, or more traditionally the miraculous draught of fish(es), is either of two events commonly (but not universally) considered to be miracles in the canonical gospels. The miracles are reported as taking place years apart from each other, but in both miracles apostles are fishing unsuccessfully in the Sea of Galilee when Jesus tells them to try one more cast of the net, at which they are rewarded with a great catch (or "draught", as in "haul" or "weight"). Either is thus sometimes called a "miraculous draught of fish".

<span class="mw-page-title-main">Bread of Life Discourse</span> Parable in the Gospel according to John

The Bread of Life Discourse is a portion of the teaching of Jesus which appears in chapter 6 of John's Gospel and was delivered in the synagogue at Capernaum.

Biblical numerology is the use of numerology in the Bible to convey a meaning outside of the numerical value of the actual number being used. Numerological values in the Bible often relate to a wider usage in the Ancient Near East.

Matthew 27:9-10 are the ninth and tenth verses of the twenty-seventh chapter of the Gospel of Matthew in the New Testament. These verses end the final story of Judas Iscariot, with a quotation from scripture showing how the events around his final days were predicted.

New Testament people named John

The name John is prominent in the New Testament and occurs numerous times. Among Jews of this period, the name was one of the most popular, borne by about five percent of men. Thus, it has long been debated which Johns are to be identified with which.

References

  1. "Measure of the Fish". greatdreams.com.
  2. Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140–141.
  3. Gupta, Shayam Sunder. "Curious Properties of 153" . Retrieved June 26, 2009.
  4. OEIS:A046197
  5. 1 2 Catch of the Day (153 Fishes) at mathpages.com.
  6. OEIS:A165330
  7. OEIS:A346630
  8. Biblegateway John 21:1–14
  9. 1 2 Flanagan 1992, p. 1018.
  10. 1 2 3 4 5 Twelftree 1999, pp. 218–219.
  11. Jason Byassee, Praise Seeking Understanding: Reading the Psalms with Augustine, Wm. B. Eerdmans Publishing, 2007, p. 130, ISBN   0-8028-4012-4.
  12. John E. Rotelle (ed) and Edmund Hill (tr), The works of Saint Augustine: A Translation for the 21st Century, Part 3, Volume 7 (Sermons: On the Liturgical Seasons), p. 112, ISBN   1-56548-059-7.
  13. D. A. Carson, The Gospel According to John (Pillar Commentaries Series), Wm. B. Eerdmans Publishing, 1991, p. 673, ISBN   0-85111-749-X.
  14. Leland Ryken, Jim Wilhoit, Tremper Longman, Colin Duriez, Douglas Penney, and Daniel G. Reid, Dictionary of Biblical Imagery (Fish), InterVarsity Press, 1998, p. 290, ISBN   0-8308-1451-5.
  15. 1 2 3 Culpepper 2021, p. 539.
  16. 1 2 3 4 Grant 2002, p. 23.
  17. 1 2 Keener 2010, p. 109.
  18. 1 2 3 Godet & Dwight 1893, p. 443.
  19. Edwards 2008, p. 205.
  20. 1 2 3 4 5 Culpepper 2021, p. 537.
  21. Edwards 2008, pp. 204–205.
  22. 1 2 Manning 2004, pp. 189–190.
  23. Keener 2010, p. 108.
  24. Bernard 1928a, pp. lxxxvi–lxxxviii.
  25. Bernard 1928b, pp. 699–700.
  26. Godet & Dwight 1893, p. 444.
  27. Wiarda 1992.
  28. Hunter 1965, p. 195.
  29. The Great Biblical Commentary of Cornelius à Lapide.
  30. 1 2 3 Margaret Starbird, Magdalene's Lost Legacy: Symbolic Numbers and the Sacred Union in Christianity, Inner Traditions / Bear & Company, 2003, pages 49 and 139, ISBN   1-59143-012-7.
  31. J.W. Wenham, The Elements of New Testament Greek, Cambridge University Press, 1965.
  32. For example, ἰχθύς (fish) has isopsephy values of 1219, 1069, 1289, 1029, 1224, 1220, 1869, 1229, and 1279 with the different noun endings on p. 124 of Wenham, and a further range of possibilities when the definite article is added.
  33. Heath, Thomas Little (1897), The Works of Archimedes, Cambridge University Press, pp. lxxvii , 50, retrieved January 30, 2010
  34. William Harmless, Desert Christians: An Introduction to the Literature of Early Monasticism, Oxford University Press, 2004, pp. 320–341, ISBN   0-19-516222-6.
  35. Montfort.org.uk Archived December 9, 2009, at the Wayback Machine , "its fruitfulness as shown in the net that St. Peter by order of Our Lord threw into the sea and which though filled with 153 fish did not break."
  36. Peter Cunningham, Modern London; or, London as it is , 1851, p. 193.
  37. Table of transmission frequencies
  38. "FLW Incorporated | Specialists in Physical Measurement, Testing, Calibration & Control".
  39. World-airport-coedes.com
  40. 153 Chymical Aphorisms.

Bibliography

  • Twelftree, Graham H. (1999). "Miracles in the Fourth Gospel". Jesus the Miracle Worker: A Historical and Theological Study. InterVarsity Press. ISBN   9780830815968.
  • Flanagan, Neal M. (1992). "John". In Karris, Robert J. (ed.). The Collegeville Bible Commentary: Based on the New American Bible. Liturgical Press. ISBN   9780814622117.
  • Edwards, Mark (2008). John Through the Centuries. Wiley Blackwell Bible Commentaries. John Wiley & Sons. ISBN   9781405143196.
  • Culpepper, R. Alan (2021). Designs for the Church in the Gospel of John: Collected Essays, 19802020. Wissenschaftliche Untersuchungen zum Neuen Testament. Vol. 465. Mohr Siebeck. ISBN   9783161602627.
  • Bernard, John Henry (1928). "Introduction". A critical and exegetical commentary on the Gospel According to St John. Vol. 1. Edinburgh: ICC. ISBN   9780567050243.
  • Bernard, John Henry (1928). "Notes on the Greek text". A critical and exegetical commentary on the Gospel According to St John. Vol. 2. Edinburgh: ICC. ISBN   9780567050243.
  • Grant, Robert M. (2002). "Unusual animals". Early Christians and Animals. Routledge. ISBN   9781134633753.
  • Manning, Gary T. Jr. (2004). Echoes of a Prophet: The Use of Ezekiel in the Gospel of John and in Literature of the Second Temple Period. The Library of New Testament Studies. Vol. 270. A&C Black. ISBN   9780567639288.
  • Godet, Frédéric Louis; Dwight, Timothy (1893). Commentary on the Gospel of John, with an Historical and Critical Introduction. New York: Funk & Wagnalls.
  • Wiarda, Timothy James (1992). "John 21.123: Narrative Unity and Its Implications". Journal for the Study of the New Testament. 14 (6): 53–71. doi:10.1177/0142064X9201404604. S2CID   145428133.
  • Keener, Craig S. (2010). "Epilogue (21:225)". The Gospel of John. Baker Academic. ISBN   9781441237057.
  • Hunter, Archibald Macbride (1965). Hunter, Alan (ed.). The Gospel According to John. Cambridge Bible Commentaries on the New Testament. Cambridge University Press. ISBN   9780521092555.

Further reading