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Search: id:A118940
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| A118940 |
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Primes p such that (p^2+7)/8 is prime. |
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4
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| 3, 7, 17, 23, 41, 47, 71, 89, 103, 113, 127, 137, 151, 191, 193, 199, 223, 263, 271, 281, 337, 359, 401, 439, 457, 503, 521, 569, 577, 599, 641, 719, 727, 751, 839, 857, 863, 881, 887, 929, 991, 1009, 1033, 1097, 1103, 1151, 1193, 1217, 1231, 1279, 1297, 1303
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For all primes q>2, we have q=4k+-1 for some k, which makes it easy to show that 8 divides q^2+7. Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118939, A118941, and A118942.
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MATHEMATICA
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Select[Prime[Range[200]], PrimeQ[(#^2+7)/8]&]
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CROSSREFS
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Sequence in context: A018411 A083989 A097958 this_sequence A127175 A127355 A079470
Adjacent sequences: A118937 A118938 A118939 this_sequence A118941 A118942 A118943
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 06 2006
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