153 (number)

Source: Wikipedia, the free encyclopedia.

← 152 153 154 →
Cardinalone hundred fifty-three
Ordinal153rd
(one hundred fifty-third)
Factorization32 × 17
Divisors1, 3, 9, 17, 51, 153
Greek numeralΡΝΓ´
Roman numeralCLIII
Binary100110012
Ternary122003
Senary4136
Octal2318
Duodecimal10912
Hexadecimal9916

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

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.

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-

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.

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 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 precision of the number of fish in this narrative has long been considered peculiar, and many scholars have argued that 153 has some deeper significance. Jerome, for example, wrote that Oppian's Halieutica listed 153 species of fish, although this could not have been the intended meaning of the Gospel writer because Oppian composed Halieutica after the Gospel text was written, and at any rate never gave a list of fish species that clearly adds up to 153.[9][10]

The number is clearly an intentional detail, given the lack of precision and detail elsewhere in the story;[11][12] and theologians have lent much credence to Augustine's numerology simply because it comes from historic rather than contemporary theology.[12]

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.[12] 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.[12][11] 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).[12][13][14] 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

Quintus Ennius as reported by Apuleius enumerating "countless kinds of fish".[13][14][15]
"Every ancient ichthyologian counted the number of species differently." stated Grant.[14]

David Strauss had in fact pointed out the same thing about Oppian in his Leben Jesu the century before Grant.[16] 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.[17] 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.[13] 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.[14]

Many other numerological interpretations have been propounded, from adding numerological representations of

Gregory the Great.[18][16][19]
Frédéric Louis Godet characterized them as "strange".[16] There were at least 18 distinct numerological explanations when John Emerton performed "a quick survey" in 1958.[20] Emerton proceeded to then add a gematrial explanation, to which 8 others have been added since.[20] 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.[21]

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.[18] 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.[18][22][23] Godet, likewise, asserted that it was just "a simple fact recalled to mind".[24]

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."[18] 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.".[25] 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."[15][26]

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.[18]

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".[27]

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).[28][29] 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",[30] while other scholars note that "no symbolic significance for the number of 153 fish in John 21:11 has received widespread support."[31]

Writers claiming a major role for

On the Measurement of the Circle. However, examination of that work [35] shows this to be only partly correct.[5]

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.[38]

In the military

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
  • The frequency of the
    Kenadsa is 153 kHz[39]

In other fields

153 is also:

See also

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. ^ a b Catch of the Day (153 Fishes) at mathpages.com.
  6. ^ OEIS:A165330
  7. ^ OEIS:A346630
  8. ^ Biblegateway John 21:1–14
  9. .
  10. .
  11. ^ a b Flanagan 1992, p. 1018.
  12. ^ a b c d e Twelftree 1999, pp. 218–219.
  13. ^ a b c Culpepper 2021, p. 539.
  14. ^ a b c d Grant 2002, p. 23.
  15. ^ a b Keener 2010, p. 109.
  16. ^ a b c Godet & Dwight 1893, p. 443.
  17. ^ Edwards 2008, p. 205.
  18. ^ a b c d e Culpepper 2021, p. 537.
  19. ^ Edwards 2008, pp. 204–205.
  20. ^ a b Manning 2004, pp. 189–190.
  21. ^ Keener 2010, p. 108.
  22. ^ Bernard 1928a, pp. lxxxvi–lxxxviii.
  23. ^ Bernard 1928b, pp. 699–700.
  24. ^ Godet & Dwight 1893, p. 444.
  25. ^ Wiarda 1992.
  26. ^ Hunter 1965, p. 195.
  27. ^ The Great Biblical Commentary of Cornelius à Lapide.
  28. .
  29. .
  30. .
  31. .
  32. ^ .
  33. ^ J.W. Wenham, The Elements of New Testament Greek, Cambridge University Press, 1965.
  34. ^ 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.
  35. ^ Heath, Thomas Little (1897), The Works of Archimedes, Cambridge University Press, pp. lxxvii , 50, retrieved January 30, 2010
  36. .
  37. ^ 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."
  38. ^ Peter Cunningham, Modern London; or, London as it is, 1851, p. 193.
  39. ^ Table of transmission frequencies
  40. ^ "FLW Incorporated | Specialists in Physical Measurement, Testing, Calibration & Control".
  41. ^ World-airport-coedes.com
  42. ^ 153 Chymical Aphorisms.

Bibliography

Further reading

External links