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A153014
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Primes p such that p^2-2 and p^2-2p+2 are also prime.
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1
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2, 3, 5, 7, 37, 127, 131, 211, 257, 421, 467, 491, 751, 761, 1307, 1321, 1367, 1567, 1861, 2081, 2087, 2137, 2287, 2381, 2647, 2707, 2837, 2897, 3221, 3851, 3911, 3947, 4957, 5087, 5501, 5711, 5857, 6011, 6217, 6221, 6361, 6637, 6911, 8707, 8941, 9127
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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For p = 2, p^2-2 = 2 and p^2-2p+2 = 2; for prime p = 491, p^2-2 = 241079 is prime and p^2-2p+2 = 240101 is prime.
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MATHEMATICA
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Select[Prime[Range[1500]], PrimeQ[#^2 - 2] && PrimeQ[#^2 - 2 # + 2] &] (* Harvey P. Dale, Apr 21 2011 *)
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PROG
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(Magma) [p: p in PrimesUpTo(9200) | IsPrime(p^2-2) and IsPrime(p^2-2*p+2)];
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CROSSREFS
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Cf. A062326 (primes p such that p^2-2 is also prime).
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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Edited, corrected (257 inserted) and extended beyond a(13) by Klaus Brockhaus, Jan 01 2009
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STATUS
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approved
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