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Monday, October 10, 2011

Happy Binary Day !

Happy Binary Day !



10/10/11. That's 43 in Decimal.
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... (sequence A003504). 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 an (original) McNugget number.
4 15 17 7
5 19 13 6
20 9 2 12
14 0 11 18
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.

Yeah, I didn't understand any of that.

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