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Search: id:A117091
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| A117091 |
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Primes of the form n^6-48n^5+908n^4-8603n^3+42796n^2-105410n+100823. |
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+0
2
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| 100823, 30467, 5419, 89, 719, 1423, 947, 149, 199, 1499, 3323, 4177, 2879, 359, 2179, 21773, 84407, 231859, 527819, 1967023, 13443239, 19869323, 55748639, 75716119, 101253923, 173883799, 285153899, 449885327, 557975279, 686780659, 1475059259
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This polynomial generates 19 prime numbers consecutively (for n=0 to n=18). In n^2+n+17,substitute n -> n^3-24n^2+166n-318
The polynomial generates 10790 primes in the first 100000 values. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 21 2006
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REFERENCES
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P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 137.
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LINKS
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prime puzzle
Eric Weisstein
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EXAMPLE
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a(1)=(1)^6-48(1)^5+908(1)^4-8603(1)^3+42796(1)^2-105410(1)+100823=30467, a prime number
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MATHEMATICA
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Select[Table[n^6-48n^5+908n^4-8603n^3+42796n^2-105410n+100823, {n, 0, 500}], PrimeQ[ # ]&] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 21 2006
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CROSSREFS
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Cf. A005846, A117624.
Sequence in context: A120217 A120218 A126166 this_sequence A043642 A122233 A122243
Adjacent sequences: A117088 A117089 A117090 this_sequence A117092 A117093 A117094
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KEYWORD
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easy,nonn,less
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com) and Parviz Afereidoon (afereidoon(AT)gmail.com), Apr 18 2006
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 21 2006
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