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43 (number) : ウィキペディア英語版
43 (number)

43 (forty-three) is the natural number following 42 and preceding 44.
== In mathematics ==
Forty-three is the 14th smallest prime number. The previous is forty-one, with which it comprises a twin prime, and the next is forty-seven. 43 is the smallest prime that is not a Chen prime. It is also the third Wagstaff prime.
43 is the fourth term of Sylvester's sequence, one more than the product of the previous terms (2 × 3 × 7).
43 is a centered heptagonal number.
Let a(0) = a(1) = 1, and thenceforth a(n) = (a(0)2 + a(1)2 + ... + a(n-1)2) / (n-1). This sequence continues 1 1 2 3 5 10 28 154... . Amazingly, a(43) is the first term of this sequence that is not an integer.
43 is a Heegner number.
43 is a repdigit in base 6 (111).
43 is the largest natural number that is not a (original) McNugget number.
This is the smallest prime number expressible as the sum of 2, 3, 4, or 5 different primes:
*43 = 41 + 2
*43 = 11 + 13 + 19
*43 = 2 + 11 + 13 + 17
*43 = 3 + 5 + 7 + 11 + 17.
The date magic square at right illustrates the magic constant as the sum of four primes:
When taking the first six terms of the Taylor series for computing e, one obtains
:\sum_^\frac=\frac=2+\frac,\
which is also five minus the fifth harmonic number.
Every solvable configuration of the Fifteen puzzle can be solved in no more than 43 multi-tile moves (i.e. when moving two or three tiles at once is counted as one move).〔("The Fifteen Puzzle can be solved in 43 "moves"" ). Domain of the Cube Forum〕

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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