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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; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..48.

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)]; // Vincenzo Librandi, Nov 13 2010

CROSSREFS

Cf. A045536 (primes p such that 1*p + 2 and 2*p + 1 are primes).

Intersection of A023200 and A023212. - Michel Marcus, Jan 20 2018

Sequence in context: A023212 A106952 A106951 * A049492 A166283 A186721

Adjacent sequences:  A106054 A106055 A106056 * A106058 A106059 A106060

KEYWORD

nonn

AUTHOR

Zak Seidov, May 07 2005

EXTENSIONS

More terms from Vincenzo Librandi, Apr 01 2010

STATUS

approved

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Last modified October 20 13:38 EDT 2021. Contains 348108 sequences. (Running on oeis4.)