id:A105331 - OEIS Search Results

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Numbers of the form 2^n*(2^(n+1)+2n+1) where 2^(n+1)+2n+1 is prime.

+0
3

3, 14, 52, 184, 656, 34688, 2118656, 134438912, 537346048, 9007202811510784, 2417851639318318791262208, 633825300114170432793740312576, 2535301200456572518883997515776 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`A105331(n)=2^A105330(n)(2^(A105330(n)+1)+2A105330(n)+1). This sequence is a subsequence of A083874 (see A083874 & A105330).`
	EXAMPLE	`9007202811510784 is in the sequence because 9007202811510784=2^26(2^27+226+1) & 2^27+2*26+1 is prime.`
	MATHEMATICA	`Do[If[PrimeQ[2^(m + 1) + 2m + 1], Print[2^m(2^(m + 1) + 2m + 1)]], {m, 0, 110}]`
	CROSSREFS	`Cf. A083874, A105330.` `Sequence in context: A056076 A117133 A083874 this_sequence A017946 A083424 A099487` `Adjacent sequences: A105328 A105329 A105330 this_sequence A105332 A105333 A105334`
	KEYWORD	`nice,nonn`
	AUTHOR	`Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Apr 28 2005`

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

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