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A059846 Smallest p primes which give q=2p+2n-1 primes. Smallest Sophie Germain primes generalized in a possible way: 1 is replaced by 2n-1. 1
2, 7, 31, 71, 59, 331, 569, 263, 691, 977, 1091, 2089, 1487, 2417, 2797, 10223, 4987, 6427, 12743, 9811, 17041, 29423, 12739, 20323, 20147, 17839, 53017, 53693, 17033, 67261, 151169, 106357, 129517, 185153, 77969, 253609, 185477, 140717 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..37.

FORMULA

Min{p|p and q=2p+2n-1 are primes}.

EXAMPLE

For n=1,2,3,4, 2n-1=1,3,5,7 and 2*{2,7,31,71,...} + {1,3,5,7,...} = {5,17,67,149,...}. For n=75, a(75)=140717 a prime gives 2*140717 + 75 = 281509, a new prime.

CROSSREFS

Cf. A005384, A005385, A059847.

Sequence in context: A298169 A213721 A102162 * A343532 A034698 A115605

Adjacent sequences:  A059843 A059844 A059845 * A059847 A059848 A059849

KEYWORD

nonn

AUTHOR

Labos Elemer, Feb 26 2001

STATUS

approved

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Last modified October 21 18:36 EDT 2021. Contains 348155 sequences. (Running on oeis4.)