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37 (number) : ウィキペディア英語版
37 (number)

37 (thirty-seven) is the natural number following 36 and preceding 38.
==In mathematics==
Thirty-seven is the 12th prime number, a permutable prime with 73 (which is the 21st prime number). 37 is the fifth lucky prime, the first irregular prime, the third unique prime and the third cuban prime of the form
:
p = \frac \qquad \left(x = y + 1\right).

37 is the smallest prime that is not also a supersingular prime.
It is a centered hexagonal number and a star number.
37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.
Every positive integer is the sum of at most 37 fifth powers (see Waring's problem).
37 appears in the Padovan sequence, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).
Since the greatest prime factor of 372 + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a Størmer number.
37 has the property that when its digits are reversed, the resulting number is one less than a multiple of the original number. The only other two digit number in base 10 with this property is 14.
37 is the only two digit number in base 10 with the following property: The difference between the two digits equals the square root of the difference between the number itself and the least common multiple of the two digits.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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