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Search: id:A118942
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| A118942 |
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Primes p such that (p^2-13)/12 is prime. |
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4
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| 7, 13, 17, 19, 23, 31, 37, 41, 53, 67, 71, 73, 89, 103, 107, 113, 131, 139, 157, 163, 181, 199, 211, 233, 239, 257, 269, 283, 307, 311, 337, 359, 373, 379, 401, 419, 463, 487, 491, 499, 509, 521, 577, 593, 607, 617, 631, 647, 653, 683, 701, 733, 761, 769, 787
(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>3, we have q=6k+-1 for some k, which makes it easy to show that 12 divides q^2-13. Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118939, A118940, and A118941.
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MATHEMATICA
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Select[Prime[Range[200]], PrimeQ[(#^2-13)/12]&]
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CROSSREFS
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Sequence in context: A059520 A102797 A072459 this_sequence A067656 A079697 A079695
Adjacent sequences: A118939 A118940 A118941 this_sequence A118943 A118944 A118945
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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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