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A103807
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Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.
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0
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Intersection of A103805 and A103806.
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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] [From Harvey P. Dale, Jan. 23, 2011]
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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, ", ")))}
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CROSSREFS
| Cf. A103805, A103806.
Sequence in context: A072953 A175552 A103060 * A099228 A106018 A188499
Adjacent sequences: A103804 A103805 A103806 * A103808 A103809 A103810
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Feb 16 2005
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EXTENSIONS
| Definition clarified, comment adjusted, MAGMA and PARI program added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 21 2010
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