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The only prime with period length three: 1/37 = 0.027 027 027 .... The Carthaginian general Hannibal began his trip across the Pyrenees with 37 war elephants. 23 + 57 + 1113 + 1719 + 2329 + 3137 is prime. The last odd Roman numeral alphabetically is XXXVII (37). [Brahinsky] 37 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 = 37. Note that 12345679 * 3 = 37037037. [Al-Humaid] William Shakespeare is thought to have written 37 plays. The least number of 5th powers needed to represent every possible integer. [Lagrange]
37 * 03 = 111 * 06 = 222 * 09 = 333 * 12 = 444 * 15 = 555 * 18 = 666 * 21 = 777 * 24 = 888 * 27 = 999. Mitochondrial DNA commonly found in most animals contains 37 genes. [Magliery] The degree of the first polynomial discovered (Matijasevic, 1971) whose set of positive values is the set of primes as the variables range over the natural numbers. The sum of the first 37 primes is a Fibonacci number. [Honaker] The French version of solitaire uses a board with holes for 37 pegs. The planet Jupiter's escape velocity is ~ 37 miles per second. In 1989, the 'Amdahl 6' team found a prime larger than Slowinski's previous record prime by just 37 digits. It was the only non-Mersenne prime to be the largest known since 1952. The prime p = 37 and its reversal q = 73, are the only known emirp pair such that p! + 1 and q! + 1 are both prime. [Punches] The German physician, pioneer psychiatrist, and medical professor Carl Reinhold August Wunderlich (1815-1877) is best-known for his observations and conclusion that the mean human body temperature is 37 degrees Celsius. 37 = 33 + 3 + 3/3. The sum of the first five consecutive composite numbers (37 is 4 + 6 + 8 + 9 + 10). [Natch] 37 can be represented as 100101 in binary notation. Note that the 0s are in prime positions and the 1s are in non-prime positions when read left-to-right. [Keith] 37 + 4n yields primes for n = 1, 2, 3, 4, 5, 6, and 7. [Trotter] Pliny the Elder (23--79 A.D.) wrote many historical and technical works, but only his 37-volume Historia Naturalis (Natural History) has survived. [Hadas] 37 is the smallest left and right truncatable prime., where the number of digits is prime. [Luhn] Ramanujan had 37 papers published in peer-reviewed mathematical journals. [Croll] 37 and the 37th Mersenne prime exponent are emirps. [Wu] Any multiple of 37 when split and each side cubed then added is a multiple of 37. E.g., 37 itself: 33 + 73 = 370. [Mallett]
e^( If the whole integer series is broken down into primes or prime factors of composites and then alternately added and subtracted, the only congruence where the value of the +/- figure equals that number occurs at 37. [Mallett] The smallest irregular prime. [Russo] 10^(10^100)+37 is the smallest number greater than googolplex with no known factors (as of August 2002). [Rupinski] 37 is the smallest prime such that the 'Reverse and Add' algorithm in base two does not lead to a palindrome. [Russo] Physicist and Nobel laureate Richard Feynman wrote only 37 research papers in his career.
The most well known multiple of 37 is the beast number (666). The first occurrence of 666 in Landon Curt Noll once sent out a curious email message related to 37. 37 is largest prime number found in Euler's list of integers, which he called "numeri idonei." [Younce] The Green Monster of Fenway Park in Boston is exactly 37 prime foot, 2 prime inches tall. [Patterson] The greatest prime factor of any 3-digit repdigit is 37. [La Haye] The greatest prime factor of any 6-digit repdigit is 37. [La Haye] In the movie Office Space, the waiter is wearing 37 pieces of flair. [Patterson] 37 is the fifth Good prime. [Patterson] If a multi-digit number (4 or more digits)is taken in groups of three (from the least significant group) and these are summed (repeatedly, if necessary) to produce a three-digit number which is divisible by 37, then the original number is also divisible by 37. [Fellows] Blue Moons occur 37 times every century on average. [Cooley] In the book A Painted House by John Grisham, the character Luke observed that his grandfather always drove his truck at exactly 37 miles per hour. There are exactly 37 Sophie Germain Primes < 1000. [Rock] One packet of artificial sweetener (Equal, NutraSweet) contains 37 milligrams of aspartame. [Rutherford] In the movie The Mothman Prophecies, Connie Parker has a prophetic dream in which she hears whispered to her "wake up, number 37." [La Haye] The William Penn Statue, 37 feet tall, is the largest single piece of sculpture on any building in the world. The statue stands on City Hall in Philadelphia. [Dobb] In 1953, baseball great Ted Williams played in only 37 games and had 37 hits. [Rachlin] All positive integers can be written as the sum of not more than 37 fifth powers. [Patterson] There are 37 bridges on the Copper Canyon run in Mexico. [Haga] The 37th Mersenne prime exponent, 3021377, starts with 3 and ends with 7 and also contains 37. This is the only known Mersenne exponent with this property. [LaurV] European Roulette is played using a wheel containing 37 numbered slots (1 to 36, plus a 0). 37 is a factor of all 3-digit base-ten repdigits. On Nickelodeon TV, the cartoon character Sponge Bob remarked that he has tried for his boating license 37 times. He corrected this to 38 twice, but obviously he has soaked up 37 in his spongy head! [Haga] The German passenger airship Hindenburg burned for 37 seconds upon attempted docking at Lakehurst, New Jersey, in 1937. [Haga] 3 x (3+7) + 7 = 37. "37 Heaven" is an online collection of 37 factoids. 2^37 + 3^31 + 5^29 + 7^23 + 11^19 + 13^17 + 17^13 + 19^11 + 23^7 + 29^5 + 31^3 + 37^2 is prime. (Note the bases increase through the first dozen primes while the exponents decrease.) [Patterson] There are 37 combinations of digits that cannot form the last two digits of a perfect cube. The cricket has been called the "Poor Man's Thermometer." If you count the number of chirps in fifteen seconds, then add 37, the sum will be very close to the prevailing Fahrenheit temperature at the cricket's location. [Haga] 37*7-73*3 = (7-3)*(7+3). [Losnak] 37 is the number of centered hydrocarbons with ten atoms. [Post] "37signals" is a privately held web design and web application company based in Chicago, Illinois. The company is named for 37 radio telescope signals identified as potential messages from extraterrestrial intelligence. The following 37-word quotation is ascribed to the great mathematician Leonhard Euler (1707--1783): "Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate." All American Express Card numbers begin with 37. [Gronos] The 37th composite number that has a prime factor sum of 37 (6664) minus its mirror image is equal to 37 times the 37th composite number. [Mallett] The smallest isolated prime (i.e., not a member of a twin prime pair) of form 6n + 1. [Beedassy] 37 is the first of three consecutive primes that have the same sum as their reversals. [Silva] The number of hydrocarbon structures that can be drawn (excluding stereoisomers) for 4 carbons. [Post] The smallest Riesel prime whose emirp is also a Riesel prime. [Loungrides] An Ariane 5 rocket exploded 37 seconds after liftoff in 1996 because of a software error that resulted from converting a 64-bit floating point number to a 16-bit integer. 3! * 7! minus 37 is a palindromic prime. [Silva]
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