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A125146
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Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes.
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1
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5, 13, 17, 103, 197, 227, 787, 823, 911, 919, 1153, 1409, 1487, 1723, 2087, 2647, 2767, 2999, 3001, 3389, 6089, 6781, 6827, 7877, 9463, 10391, 10789, 11117, 11447, 11971, 13523, 13537, 13711, 13807, 14087, 14489, 16063, 18191, 21059, 23371, 25717
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| First pairs of two successive primes in the sequence are {13, 17}, {911, 919}, {2999, 3001}(twin primes!), {13523, 13537}, {52543, 52553}. First case of three successive primes is {78059, 78079, 78101}.
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EXAMPLE
| 13 is OK because 13+17+13=43 and 13+11+13=37 are primes.
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MATHEMATICA
| pQ[n_]:=PrimeQ[2n+NextPrime[n]]&&PrimeQ[2n+NextPrime[n, -1]]; Select[ Prime[Range[2, 3000]], pQ] (* From Harvey P. Dale, Apr 25 2011 *)
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CROSSREFS
| Sequence in context: A019382 A145040 A195549 * A051900 A120062 A081769
Adjacent sequences: A125143 A125144 A125145 * A125147 A125148 A125149
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)gmail.com), Jan 11 2007
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