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 A145202 Primes of form 4*n^2 + 4*n + 653. 4
 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; text; internal format)
 OFFSET 1,1 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, ... These primes are in A000414. [Bruno Berselli, Apr 20 2014] LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Eric Weisstein's World of Mathematics, Prime-Generating Polynomial EXAMPLE a(18) = 4*17^2 + 4*17 + 653 = 1877. MATHEMATICA Select[Table[4 n^2 + 4 n + 653, {n, 0, 100}], PrimeQ] (* Vincenzo Librandi, Apr 21 2014 *) PROG (PARI) {for(n=0, 50, if(isprime(p=4*n^2+4*n+653), print1(p, ", ")))} (Magma) [a: n in [0..100] | IsPrime(a) where a is 4*n^2 + 4*n + 653]; // Vincenzo Librandi, Apr 21 2014 CROSSREFS A145125 is essentially the same sequence. Cf. A005846 (primes of form n^2 + n + 41). Sequence in context: A104823 A198170 A145125 * A188366 A255208 A060520 Adjacent sequences: A145199 A145200 A145201 * A145203 A145204 A145205 KEYWORD nonn AUTHOR Klaus Brockhaus, Oct 04 2008 STATUS approved

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Last modified September 10 08:45 EDT 2024. Contains 375786 sequences. (Running on oeis4.)