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A153128
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Prime numbers such that the sum of any 2 or 4 consecutive terms are averages of twin prime pairs and sum of any 3 or 5 consecutive terms are primes.
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0
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11, 31, 41, 67, 131, 3121, 4229, 13159, 14081, 24631, 49877, 64921, 71789, 127051, 154871, 178621, 249677, 260011, 350729, 401473, 487397, 537883, 567767, 718423, 724499, 763621, 1004987, 1016611, 1043951, 1053529, 1090949, 1295113, 1309907
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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MATHEMATICA
| a=11; b=31; c=41; d=67; lst={a, b, c, d}; Do[z=a+b+c+d+n; y=c+d+n; If[PrimeQ[z]&&n>d&&PrimeQ[n]&&PrimeQ[y]&&PrimeQ[a+b-1]&&PrimeQ[a+b+1]&&PrimeQ[b+c-1]&&PrimeQ[b+c+1]&&PrimeQ[c+d-1]&&PrimeQ[c+d+1]&&PrimeQ[d+n-1]&&PrimeQ[d+n+1]&&PrimeQ[a+b+c+d-1]&&PrimeQ[a+b+c+d+1]&&PrimeQ[b+c+d+n-1]&&PrimeQ[b+c+d+n+1], AppendTo[lst, n]; a=b; b=c; c=d; d=n], {n, 0, 10!}]; lst
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CROSSREFS
| Cf. A153065, A062391, A153075
Sequence in context: A089347 A040985 A061599 * A040971 A138656 A144234
Adjacent sequences: A153125 A153126 A153127 * A153129 A153130 A153131
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 19 2008
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