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A145202
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Primes of form 4*n^2 + 4*n + 653.
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1
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653, 661, 677, 701, 733, 773, 821, 877, 941, 1013, 1093, 1181, 1277, 1381, 1493, 1613, 1741, 1877, 2333, 2677, 2861, 3253, 3461, 3677, 4133, 4373, 4621, 4877, 5413, 5693, 5981, 6277, 6581, 7213, 7541, 7877, 8221, 8573, 8933, 9677, 10061, 10453, 10853
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| First 18 terms are for n from 0 through 17, next terms are for n = 20, 22, 23, 25, 26, 27, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, ...
The sequence of n such that 4*n^2 + 4*n + 653 is composite starts 18, 19, 21, 24, 28, 33, 39, 46, 54, 60, 61, 62, 63, 65, 67, 72, 73, 75, 81, 82, 84, 85, 86, 93, 95, 96, 100, ...
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LINKS
| Eric Weisstein's World of Mathematics, Prime-Generating Polynomial
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EXAMPLE
| a(18) = 4*17^2 + 4*17 + 653 = 1877.
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PROG
| (PARI) {for(n=0, 50, if(isprime(p=4*n^2+4*n+653), print1(p, ", ")))}
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CROSSREFS
| Cf. A005846 (primes of form n^2 + n + 41), A145125.
Sequence in context: A104823 A198170 A145125 * A188366 A060520 A065759
Adjacent sequences: A145199 A145200 A145201 * A145203 A145204 A145205
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KEYWORD
| nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 04 2008
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