id:A078830 - OEIS Search Results

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Numbers having in binary representation exactly one binary substring representing a prime.

+0
3

2, 3, 4, 8, 9, 16, 32, 33, 64, 65, 128, 129, 256, 512, 513, 1024, 1025, 2048, 2049, 4096, 4097, 8192, 8193, 16384, 16385, 32768, 32769, 65536, 131072, 131073, 262144, 262145, 524288, 524289, 1048576, 1048577 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`A078827(a(n)) = 1; subsequence of A078829 and of A078831;` `for k>2 also floor(a(k)/2) belongs to the sequence.`
	EXAMPLE	`p=2 -> '10' is the only prime contained exactly once in 2^k, k>0.`
	CROSSREFS	`Cf. A078827, A078829, A007088, A000079, A048578.` `Sequence in context: A074311 A076382 A006899 this_sequence A026489 A126312 A126298` `Adjacent sequences: A078827 A078828 A078829 this_sequence A078831 A078832 A078833`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 08 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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