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A153075
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Prime numbers such that the sum of any 3 consecutive terms is a prime and sum of any 5 consecutive terms is a prime also.
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1
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3, 5, 11, 13, 29, 31, 43, 83, 97, 113, 127, 149, 157, 173, 191, 193, 223, 311, 373, 467, 487, 499, 557, 607, 647, 653, 673, 677, 739, 787, 821, 829, 881, 883, 977, 991, 1051, 1217, 1291, 1373, 1427, 1429, 1471, 1583, 1597, 1607, 1609, 1693, 1811, 1877, 1951
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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MATHEMATICA
| a=3; b=5; c=11; d=13; lst={a, b, c, d}; Do[z=a+b+c+d+n; y=c+d+n; If[PrimeQ[z]&&n>b&&PrimeQ[n]&&PrimeQ[y], AppendTo[lst, n]; a=b; b=c; c=d; d=n], {n, 0, 8!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 17 2008]
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CROSSREFS
| Cf. A153065, A062391
Sequence in context: A129096 A079448 A045407 * A095082 A105071 A089251
Adjacent sequences: A153072 A153073 A153074 * A153076 A153077 A153078
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 17 2008, corrected Dec 19 2008
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