id:A095285 - OEIS Search Results

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Primes in whose binary expansion the number of 1-bits is <= 5 + number of 0-bits.

+0
5

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, 193, 197, 199, 211, 227, 229, 233, 241, 257, 263, 269, 271, 277, 281, 283 (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. Note that 63 (111111 in binary) is not prime.`
	LINKS	`A. Karttunen and J. Moyer: C-program for computing the initial terms of this sequence`
	CROSSREFS	`Complement of A095284 in A000040. Subset: A095323. Subset of A095313, from which it differs first time at n=42, where a(42)=193 (11000001 in binary) while A095313(42)=191 (10111111 in binary). Cf. also A095286, A095295.` `Sequence in context: A050260 A095316 A095313 this_sequence A163849 A124591 A164837` `Adjacent sequences: A095282 A095283 A095284 this_sequence A095286 A095287 A095288`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 04 2004`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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