37 (number)

37 is the 12th prime number and the third unique prime in decimal.[1] 37 is the first irregular prime,[2] and the third isolated prime without a twin prime.[3] It is also the third cuban prime,[4] the fourth emirp, and the fifth lucky prime.[5]

• 37 is the third star number[6] and the fourth centered hexagonal number.[7]
• The sum of the squares of the first 37 primes is divisible by 37.[8]
• Every positive integer is the sum of at most 37 fifth powers (see Waring's problem).[9]
• 37 appears in the Padovan sequence, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).[10]
• Since the greatest prime factor of 37² + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a Størmer number.[11]

The smallest magic square, using only primes and 1, contains 37 as the value of its central cell:[12]

Its magic constant is 37 x 3 = 111, where 3 and 37 are the first and third decimal unique primes (the second such prime is 11).[1]

In base-ten, 37 is a permutable prime with 73, which is the 21st prime number. By extension, the mirroring of their digits and prime indexes makes 73 the only Sheldon prime.

In moonshine theory, whereas all p ⩾ 73 are non-supersingular primes, the smallest such prime is 37.

There are exactly 37 complex reflection groups.

• The atomic number of rubidium
• The normal human body temperature in degrees Celsius

José María López used this number during his successful years in the World Touring Car Championship from 2014 until 2016. He still uses this number in Formula E since joining in the 2016-17 season with DS Virgin Racing.

House number in Baarle (in its Belgian part)

Thirty-seven is:

• The number of the French department Indre-et-Loire[14]
• The number of slots in European roulette (numbered 0 to 36, the 00 is not used in European roulette as it is in American roulette)
• The number of Great Nats traditionally worshiped in Burma
• The RSA public exponent used by PuTTY
• +37 was the international dialing code of the German Democratic Republic (aka East Germany). Today the +37 prefix is shared by Lithuania (+370), Latvia (+371), Estonia (+372), Moldova (+373), Armenia (+374), Belarus (+375), Andorra (+376), Monaco (+377), San Marino (+378) and Vatican City (+379).
• The number of seconds of church-bell and thunderstorm recording before the opening tritone riff in the song "Black Sabbath" on the album Black Sabbath by the band Black Sabbath, which is considered to mark the birth of heavy metal music.
• Richard Nixon, 37th president of the United States.

• List of highways numbered 37
• Number Thirty-Seven, Pennsylvania, unincorporated community in Cambria County, Pennsylvania
• I37 (disambiguation)

Wikimedia Commons has media related to 37 (number).

• 37 Heaven Large collection of facts and links about this number.