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Search: id:A037896
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| A037896 |
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Primes of the form n^4 + 1. |
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+0
9
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| 2, 17, 257, 1297, 65537, 160001, 331777, 614657, 1336337, 4477457, 5308417, 8503057, 9834497, 29986577, 40960001, 45212177, 59969537, 65610001, 126247697, 193877777, 303595777, 384160001, 406586897, 562448657, 655360001
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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M. Lal, Primes of the form n^4 + 1, Math. Comp., 21 (1967), 245-247.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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EXAMPLE
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6^4+1 = 1297 is prime.
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MATHEMATICA
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lst={}; Do[p=n^4+1; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 4*5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 27 2009]
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PROGRAM
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(PARI) j=[]; for(n=1, 300, if(isprime(n^4+1), j=concat(j, n^4+1))); j
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CROSSREFS
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Cf. A000068.
Adjacent sequences: A037893 A037894 A037895 this_sequence A037897 A037898 A037899
Sequence in context: A020561 A099702 A029735 this_sequence A099714 A086534 A078367
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KEYWORD
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easy,nonn
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AUTHOR
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Donald S McDonald (dsmc(AT)actrix.gen.nz), Feb 27 2000
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EXTENSIONS
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Corrected and extended by Jason Earls (zevi_35711(AT)yahoo.com), Jul 19 2001
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