|
| |
|
|
A117225
|
|
Primes of the form 9n^4-444n^3+8059n^2-63714n+185371.
|
|
0
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| This polynomial generates 29 prime numbers consecutively (for n=0 to n=28). In n^2+n+41, substitute n -> 3n^2-74n+430.
|
|
|
REFERENCES
| P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 137.
|
|
|
LINKS
| Carlos Rivera, puzzle 232.
Eric Weisstein Prime-generating polynomial.
|
|
|
EXAMPLE
| a(1)=9(1)^4-444(1)^3+8059(1)^2-63714(1)+185371=129281, a prime number
|
|
|
CROSSREFS
| Cf. A005846, A117624, A117090, A117091.
Sequence in context: A024762 A140933 A131908 * A032748 A180099 A092013
Adjacent sequences: A117222 A117223 A117224 * A117226 A117227 A117228
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Roger Bagula and Parviz Afereidoon (afereidoon(AT)gmail.com), Apr 21 2006
|
| |
|
|
