id:A095313 - OEIS Search Results

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Primes in whose binary expansion the number of 1-bits is <= 6 + number of 0-bits.

+0
4

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Differs from primes (A000040) first time at n=31, where a(31)=131, while A000040(31)=127, as 127 whose binary expansion is 1111111, with 7 1-bits and no 0-bits is the first prime excluded from this sequence.`
	LINKS	`A. Karttunen and J. Moyer: C-program for computing the initial terms of this sequence`
	CROSSREFS	`Complement of A095312 in A000040. Subset: A095285, from which it differs first time at n=42, where a(42)=191 (10111111 in binary), while A095285(42)=193 (11000001 in binary). Cf. also A095333.` `Sequence in context: A100725 A050260 A095316 this_sequence A095285 A163849 A124591` `Adjacent sequences: A095310 A095311 A095312 this_sequence A095314 A095315 A095316`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 04 2004`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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