A103807 - OEIS

A103807

Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.

2, 5, 7, 23, 37, 103, 313, 457, 733, 863, 2053, 2063, 2917, 4723, 7187, 7817, 8017, 9007, 9473, 9973, 10687, 11527, 11923, 13477, 13883, 15787, 26833, 31477, 34897, 36097, 36353, 36493, 39937, 44417, 46447, 47623, 52103, 53377, 55813, 60737

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OFFSET

1,1

COMMENTS

Intersection of A103805 and A103806.

LINKS

Table of n, a(n) for n=1..40.

MATHEMATICA

Intersection[Select[Range[100000], PrimeQ[ # ]&&PrimeQ[2#+33]&&PrimeQ[2#-33]&&PrimeQ[ # ]&&PrimeQ[2#+27]&&PrimeQ[2#-27]&]]

okQ[n_]:=Module[{x=2n}, And@@PrimeQ[{x-27, x+27, x-33, x+33}]]; Select[Prime[Range[7000]], okQ] (* Harvey P. Dale, Jan 23 2011 *)

PROG

(Magma) [ p: p in PrimesUpTo(61000) | IsPrime(2*p-27) and IsPrime(2*p+27) and IsPrime(2*p-33) and IsPrime(2*p+33) ];

(PARI) {forprime(p=2, 61000, if(isprime(abs(2*p-27))&&isprime(2*p+27)&&isprime(abs(2*p-33))&&isprime(2*p+33), print1(p, ", ")))}

CROSSREFS

Cf. A103805, A103806.

Sequence in context: A103060 A256247 A243595 * A099228 A182474 A106018

Adjacent sequences: A103804 A103805 A103806 * A103808 A103809 A103810

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 16 2005

EXTENSIONS

Definition clarified, comment adjusted, MAGMA and PARI programs added by Klaus Brockhaus, Mar 21 2010

STATUS

approved