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Search: id:A114367
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| A114367 |
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Smallest prime in kx^3+x+3 is prime. |
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+0 1
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| 5, 5, 7, 37, 53, 11, 13, 647, 101, 17, 19, 1031, 149, 23, 173, 181, 197, 29, 31, 229, 30013, 31013, 37, 277, 293, 41, 43, 40013, 42013, 47, 2887, 373, 389, 53, 3271, 421, 3463, 59, 61, 3719, 3847, 3911, 67, 32779, 4231, 71, 73, 35851, 4679, 79, 613, 4999
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Primes exist in this sequence for all k.
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PROGRAM
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(PARI) g2(n, p) = for(k=1, n, for(x=1, n, y=k*x^3+x+p; if(isprime(y), print1(y", "); break)))
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CROSSREFS
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Adjacent sequences: A114364 A114365 A114366 this_sequence A114368 A114369 A114370
Sequence in context: A077956 A077977 A019204 this_sequence A093311 A100128 A102729
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Feb 09 2006
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