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Search: id:A117225
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| A117225 |
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Primes of the form 9n^4-444n^3+8059n^2-63714n+185371. |
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+0
1
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| 185371, 129281, 86771, 55501, 33347, 18401, 8971, 3581, 971, 97, 131, 461, 691, 641, 347, 61, 251, 1601, 5011, 11597, 22691, 39841, 64811, 99581, 146347, 207521, 285731, 383821, 504851
(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 29 prime numbers consecutively (for n=0 to n=28). In n^2+n+41, substitute n -> 3n^2-74n+430.
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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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Carlos Rivera, puzzle 232.
Eric Weisstein Prime-generating polynomial.
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EXAMPLE
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a(1)=9(1)^4-444(1)^3+8059(1)^2-63714(1)+185371=129281, a prime number
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CROSSREFS
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Cf. A005846, A117624, A117090, A117091.
Sequence in context: A024762 A140933 A131908 this_sequence A032748 A092013 A046507
Adjacent sequences: A117222 A117223 A117224 this_sequence A117226 A117227 A117228
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KEYWORD
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easy,nonn
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AUTHOR
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Roger Bagula and Parviz Afereidoon (afereidoon(AT)gmail.com), Apr 21 2006
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