id:A088259 - OEIS Search Results

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Perfect powers which have at least one prime neighbor.

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2

1, 4, 8, 16, 32, 36, 100, 128, 196, 256, 400, 576, 676, 1296, 1600, 2916, 3136, 4356, 5476, 7056, 8100, 8192, 8836, 12100, 13456, 14400, 15376, 15876, 16900, 17956, 21316, 22500, 24336, 25600, 28900, 30976, 32400, 33856, 41616, 42436, 44100 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`If K is a member and K-1 is the neighboring prime then it must be a Merssenne's prime. Conjecture: sequence is infinite.`
	CROSSREFS	`Cf. A088256, A088257, A088258.` `Adjacent sequences: A088256 A088257 A088258 this_sequence A088260 A088261 A088262` `Sequence in context: A125626 A061011 A075090 this_sequence A123857 A048168 A131649`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 27 2003`
	EXTENSIONS	`Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 28 2003`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

AT&T Labs Research