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A106057 Primes p such that 1*p+4 and 4*p+1 are primes. 4
3, 7, 13, 37, 43, 67, 79, 97, 127, 163, 193, 277, 307, 487, 499, 673, 739, 853, 883, 1087, 1093, 1297, 1423, 1429, 1549, 1567, 1579, 1597, 1663, 2293, 2437, 2683, 2953, 3037, 3163, 3457, 3793, 3907, 3943, 4447, 4519, 4729, 4789, 4999, 5503, 5527, 5569, 5653 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Cf. A045536: Primes p such that 1*p+2 and 2*p+1 are primes.

MATHEMATICA

Select[Prime[Range[220]], PrimeQ[4#+1]&&PrimeQ[1#+4]&]

PROG

(MAGMA) [p: p in PrimesUpTo(100000)| IsPrime(p+4) and IsPrime(4*p+1)] [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2010]

CROSSREFS

Cf. A045536.

Sequence in context: A023212 A106952 A106951 * A049492 A166283 A186721

Adjacent sequences:  A106054 A106055 A106056 * A106058 A106059 A106060

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), May 07 2005

EXTENSIONS

More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Apr 01 2010

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Last modified February 17 23:28 EST 2012. Contains 206085 sequences.