id:A110699 - OEIS Search Results

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Binary length of the smallest prime with Hamming weight n (given by A061712).

+0
4

2, 2, 3, 5, 5, 9, 7, 9, 10, 11, 12, 13, 13, 17, 16, 17, 17, 19, 19, 21, 22, 24, 24, 25, 26, 28, 28, 29, 30, 33, 31, 33, 34, 35, 36, 38, 38, 40, 40, 41, 42, 44, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 56, 57, 59, 59, 60, 61, 61, 65, 64, 65, 66, 67, 68, 69, 70, 72, 72, 73 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n)=n iff n belongs to A000043.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1024`
	FORMULA	`A110699(n) = n + A110700(n)`
	MAPLE	`with(combstruct); a:=proc(n) local m, is, s, t, r; if n=1 then return 2 fi; r:=+infinity; for m from 0 do is := iterstructs(Combination(n-2+m), size=n-2); while not finished(is) do s := nextstruct(is); t := 2^(n-1+m)+1+add(2^i, i=s); if isprime(t) then return n+m fi; od; od; return 0; end;`
	CROSSREFS	`Cf. A000043, A061712, A110700.` `Sequence in context: A028364 A011971 A060048 this_sequence A035537 A101779 A137756` `Adjacent sequences: A110696 A110697 A110698 this_sequence A110700 A110701 A110702`
	KEYWORD	`nonn`
	AUTHOR	`Max Alekseyev (maxale(AT)gmail.com), Aug 03 2005`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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