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A118479 Least n-digit prime which is also a twin prime and Sophie Germain prime. +0
3
3, 11, 179, 1019, 10091, 100361, 1000211, 10001399, 100001651, 1000002359, 10000003001, 100000026569, 1000000000061, 10000000019759, 100000000018109, 1000000000029911, 10000000000013741, 100000000000004381 (list; graph; listen)
OFFSET

1,1

EXAMPLE

3 and 5 twin primes and 2*3+1=7 prime, so 3 is first of twin primes and Sophie Germain prime, least prime like this of one digit, so a(1)=3

11 and 13 twin primes ans 2*11+1=23 prime, so 11 first of twin primes and Sophie Germain prime, least prime like this with two digits, so a(2)=11

MATHEMATICA

f[n_] := Block[{k = 10^(n - 1)}, While[ !PrimeQ[k] || !PrimeQ[k + 2] || !PrimeQ[2k + 1], k++ ]; k]; Array[f, 18] (* Robert G. Wilson v *)

CROSSREFS

Sequence in context: A006485 A003115 A053888 this_sequence A103836 A081484 A125738

Adjacent sequences: A118476 A118477 A118478 this_sequence A118480 A118481 A118482

KEYWORD

nonn

AUTHOR

Pierre CAMI (pierrecami(AT)tele2.fr), May 05 2006

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(at)rgwv.com), May 13 2006

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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