Английская Википедия:137 (number)

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Шаблон:Infobox number 137 (one hundred [and] thirty-seven) is the natural number following 136 and preceding 138.

Mathematics

  • the 33rd prime number; the next is 139, with which it comprises a twin prime, and thus 137 is a Chen prime.
  • an Eisenstein prime with no imaginary part and a real part of the form <math>3n - 1</math>.
  • the fourth Stern prime.[1]
  • a Pythagorean prime: a prime number of the form <math>4n+1</math>, where <math>n=34</math> (<math>137=4\times 34+1</math>) or the sum of two squares <math>11^{2}+4^{2} = (121+16)</math>.[2]
  • a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes.
  • a strictly non-palindromic number[3] and a primeval number.[4]Шаблон:Citation needed
  • a factor of 10001 (the other being 73) and the repdigit 11111111 (= 10001 × 1111).
  • using two radii to divide a circle according to the golden ratio yields sectors of approximately 137.51° (the golden angle) and 222° in degree system so 137 is the largest integer before it.
  • In decimal notation, 1/137 = 0.007299270072992700..., so its period value happens to be palindromic and has a period length of only 8. However, this is only special to decimal, as in pentadecimal it (1/92) has a period length of twenty-four (24) and the period value is not at all palindromic.

Physics

  • Since the early 1900s, physicists have postulated that the number could lie at the heart of a grand unified theory, relating theories of electromagnetism, quantum mechanics and, especially, gravity.[5]
  • 1/137 was once believed to be the exact value of the fine-structure constant. The fine-structure constant, a dimensionless physical constant, is approximately 1/137, and the astronomer Arthur Eddington conjectured in 1929 that its reciprocal was in fact precisely the integer 137, which he claimed could be "obtained by pure deduction".[6] This conjecture was not widely adopted, and by the 1940s, the experimental values for the constant were clearly inconsistent with the conjecture, being roughly 1/137.036.[7] In 2021, researchers at the Kastler Brossel Laboratory in Paris reported the most precise measurement yet, determining the value to be 137.035999206 with an accuracy of 81 parts per trillion.[8]
  • Physicist Leon M. Lederman numbered his home near Fermilab 137 based on the significance of the number to those in his profession. Lederman expounded on the significance of the number in his 1993 book The God Particle: If the Universe Is the Answer, What Is the Question?, noting that not only was it the inverse of the fine-structure constant, but was also related to the probability that an electron will emit or absorb a photon—i.e., Feynman's conjecture.Шаблон:Refn He added that it also "contains the crux of electromagnetism (the electron), relativity (the velocity of light), and quantum theory (Planck's constant). It would be less unsettling if the relationship between all these important concepts turned out to be one or three or maybe a multiple of pi. But 137?" The number 137, according to Lederman, "shows up naked all over the place", meaning that scientists on any planet in the universe using whatever units they have for charge or speed, and whatever their version of Planck's constant may be, will all come up with 137, because it is a pure number. Lederman recalled that Richard Feynman had even suggested that all physicists put a sign in their offices with the number 137 to remind them of just how much they do not know.[9]

Psychology and mysticism

  • 137 has been the subject of psychological speculation by Swiss psychiatrist and psychoanalyst Carl Jung concerning his theory of synchronicity. Jung and physicist Wolfgang Pauli, according to the book Jung, Pauli, and the Pursuit of a Scientific Obsession by Arthur I. Miller, Emeritus Professor of History and Philosophy of Science at University College London, Jung and Pauli struggled in their search for a primal number that everything in the world hinges on, as well as a desire to quantify the unconscious.[10][11]

Military

Music

Religion

  • The Bible says that Ishmael,[12] Levi[13] and Amram[14] all lived to be 137 years old. The three appearances make it the most common lifespan of individuals in the Bible.
  • According to the verse in Genesis (17:17) there was a ten-year age gap between Abraham and Sarah. Sarah died at the age of 127 (Genesis 23:1), thus Abraham was 137 years old at her death. According to Rashi's commentary on Genesis 23:2, Sarah died when she heard that Isaac had almost been sacrificed, thus Abraham was 137 years old at the Binding of Isaac.

Transportation

Other uses

See also

Notes

Шаблон:Reflist

References

Шаблон:Reflist

External links

Шаблон:Commons category

Шаблон:Integers

  1. Шаблон:Cite web
  2. Шаблон:Cite web
  3. Шаблон:Cite web
  4. Шаблон:Cite web
  5. Rutland, G., Awesome Sovereign (Bloomington: AuthorHouse, 2016), p. 33.
  6. Eddington, A. S., The Constants of Nature in "The World of Mathematics", Vol. 2 (1956) Ed. Newman, J. R., Simon and Schuster, pp. 1074-1093.
  7. Helge Kragh, "Magic Number: A Partial History of the Fine-Structure Constant", Archive for History of Exact Sciences 57:5:395 (July, 2003) Шаблон:Doi
  8. Шаблон:Cite journal
  9. Lederman, L. M., The God Particle: If the Universe is the Answer, What is the Question? (1993), Houghton Mifflin Harcourt, pp. 28–29.
  10. Шаблон:Cite book
  11. Шаблон:Cite web
  12. Шаблон:Bibleverse
  13. Шаблон:Bibleverse
  14. Шаблон:Bibleverse