id:A059847 - OEIS Search Results

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a(n)=2*p+2n-1, the smallest prime q such that p=[q-(2n-1)]/2 is prime. A special generalization of safe primes: 1 is replaced with 2n-1.

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5, 17, 67, 149, 127, 673, 1151, 541, 1399, 1973, 2203, 4201, 2999, 4861, 5623, 20477, 10007, 12889, 25523, 19661, 34123, 58889, 25523, 40693, 40343, 35729, 106087, 107441, 34123, 134581, 302399, 212777, 259099, 370373, 156007, 507289, 371027 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`Min{p\|p and q=(p-2n+1)/2, p and q are primes}`
	EXAMPLE	`n=8, 2n-1=15, a(8)=541 because (541-15)/2=263 is the corresponding generalized Sophie Germain prime and {541,263} is the smallest pair belonging to 15.`
	CROSSREFS	`A005384, A005385.` `Cf. A005384, A005385, A059846.` `Sequence in context: A012765 A062613 A153323 this_sequence A149678 A149679 A149680` `Adjacent sequences: A059844 A059845 A059846 this_sequence A059848 A059849 A059850`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Feb 26 2001`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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