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|Cardinal||one hundred thirty-seven|
(one hundred and thirty-seventh)
- 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 .
- the fourth Stern prime.
- a pythagorean prime.
- a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes.
- a strictly non-palindromic number and a primeval number.
Using two radii to divide a circle according to the golden ratio yields sectors of approximately 137° (the golden angle) and 222°.
1/137 = 0.00729927007299270072992700..., its period value is palindromic and has only a period length of 8.
- 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". This conjecture was not widely adopted, and by the 1940s, the experimental values for the constant were clearly inconsistent with it (i.e. closer to 137.036).
- 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 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. 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 don’t know.
- In the Bohr model, the innermost electron of an atom with Z = 137 would be orbiting (just below) the speed of light, and the next element (Z = 138) would be "impossible". Since the Bohr model does not include either quantum mechanics or special relativity, the fact that it breaks down in this regime is not surprising. However, such large atoms (if their nuclei were stable) could be expected to behave rather differently from a naive extrapolation of trends in the periodic table.
- The fine structure constant of physics continues to convince esotericists that the universe has numerological fine tuning: for example the age of the universe could be considered as roughly 137 times the square of myriad years.
- The Hebrew word קבלה (Kabbalah) takes a Gematria value of 137. Kabbalah is generally taken to mean "receiving," as evident from its root in Hebrew k-b-l (kof-beit-lamed), to "receive". Nevertheless, an additional nuance of meaning can be derived from the first appearance of its root (k-b-l) in the Torah. In Exodus 26:5 and 36:12, the root k-b-l appears to imply a state of “corresponding” rather than “receiving.” It is used to describe the “corresponding loops” which, when clasped together, enjoined the two sections of the Tabernacle’s ceiling. These loops were suspended directly over the veil that divided the Holy Place and the Holy of Holies. Symbolically, this is the threshold between the physical dimension and the utterly spiritual dimension. In other words, at the boundary line of the physical world, the number 137 emerges.
In the military
- Boeing C-137 Stratoliner was a VIP transport aircraft from the Boeing 707 jet airliner used by the United States Air Force
- RAF – No. 137 Squadron
- Strike Fighter Squadron 137 (VFA-137) is a United States Navy F/A-18E Super Hornet strike fighter squadron stationed at Naval Air Station Lemoore, California
- USNS Mission Santa Ana (T-AO-137) Mission Buenaventura-class fleet oiler built during World War II
- USS Adopt (AM-137) was a United States Navy minesweeper during World War II
- USS Ascella (AK-137) was a United States Navy Crater-class cargo ship commissioned during World War II
- USS Bowie (APA-137) was a United States Navy Haskell-class attack transport during World War II
- USS General S. D. Sturgis (AP-137) was the United States Navy General G.O. Squier transport ship during World War II
- USS Herbert C. Jones (DE-137) was a United States Navy Edsall-class destroyer escort during World War II
- USS Kilty (DD-137) was a United States Navy Wickes class destroyer during World War II
- Cesium_137 is an American synthpop musical group which takes its name from a radioactive isotope
- 137 is a 2001 album by The Pineapple Thief
- Rescate 137 is a 2000 album by experimental electronic musician Christian Vogel
- The Fugue for String Quintet in D major, Op. 137 was composed by Beethoven in 1817
- The Gibson ES-137 is a semi-hollow body guitar by Gibson
- 137 is a 2009 album by RickWhiteAlbum
- Agent137 is a female electronic dance music DJ in Washington, DC
- 137 (Death's Hendecaratia) is a song by Canadian death metal band Mitochondrion
- 137 (Rinse) is a song by British producer Squarepusher on Music is Rotted One Note
- London Buses route 137 is a Transport for London contracted bus route in London
- Boeing 707-347C CC-137 transport aircraft served the Canadian Forces from 1970 to 1997
- Philippine Airlines Flight 137 from Manila overshot the runway while landing at Bacolod City Domestic Airport on March 22, 1998
- 137 Avenue is a primary road in Edmonton, Alberta, Canada
- 137th Street – City College is a station on the IRT Broadway – Seventh Avenue Line of the New York City Subway in New York City
In other fields
- 137: Jung, Pauli, and the Pursuit of a Scientific Obsession by Arthur I. Miller, ISBN 978-0-393-33864-5, describes the friendship of Carl Jung and Wolfgang Pauli and their search for the meaning of 137 in science, medieval alchemy, dream interpretation, and the I Ching.
- The year AD 137 or 137 BC
- 137 AH is a year in the Islamic calendar that corresponds to 754 – 755 CE
- 137 Meliboea is a large and dark main belt asteroid discovered in 1874
- The atomic number of an element not yet observed called Untriseptium
- California Penal Code for "Offer bribe to influence testimony"
- The Samson 137 Indian reserve in Alberta, Canada
- Sonnet 137 by William Shakespeare
- Psalm 137
- The atomic number of the highest allowed element on the periodic table allowed by the Bohr Model and the Dirac equation.
- Caesium-137 is a radioactive isotope of Caesium formed by nuclear fission
- The number of atoms in a chlorophyll molecule, for which the chemical formula is C55H72MgN4O5.
- List of highways numbered 137
- United Nations Security Council Resolution 137
- United States Supreme Court cases, Volume 137
- "Sloane's A042978 : Stern primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- "Sloane's A002144 : Pythagorean primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- "Sloane's A072857 : Primeval numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- 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.
- Helge Kragh, "Magic Number: A Partial History of the Fine-Structure Constant", Archive for History of Exact Sciences 57:5:395 (July, 2003) doi:10.1007/s00407-002-0065-7
- Lederman, Leon, The God Particle: If the Universe is the Answer, What is the Question? (1993), Houghton Mifflin Harcourt, pp. 28-29.
- The mystery of 137, www.integralworld.net
- Genesis 25:17
- Exodus 6:16
- Exodus 6:20
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