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A125146 Primes p such that (p + nextprime + p) and also (p + previousprime + p) are primes. +0
2
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; listen)
OFFSET

1,1

COMMENT

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}.

EXAMPLE

13 is OK because 13+17+13=43 and 13+11+13=37 are primes.

CROSSREFS

Sequence in context: A087484 A019382 A145040 this_sequence A051900 A120062 A081769

Adjacent sequences: A125143 A125144 A125145 this_sequence A125147 A125148 A125149

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)gmail.com), Jan 11 2007

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.


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