

A172192


Numbers n such that n^6(n+1)^5 is prime.


0



4, 9, 10, 12, 14, 19, 29, 46, 57, 59, 66, 71, 72, 84, 85, 90, 95, 96, 97, 114, 119, 122, 155, 157, 190, 191, 204, 207, 212, 221, 222, 244, 251, 256, 276, 285, 286, 289, 294, 300, 301, 307, 319, 320, 337, 344, 355, 359, 380, 382, 392, 400, 411, 422, 426, 441, 451
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OFFSET

1,1


COMMENTS

Corresponding primes are in A171771. Negative values of primes are obtained for 1 and 2.


LINKS

Table of n, a(n) for n=1..57.


EXAMPLE

4^6(4+1)^5 = 971 is prime, so 4 is in the sequence.
5^6(5+1)^5 = 7849 = 47*167 is composite, so 5 is not in the sequence.
9^6(9+1)^5 = 431441 is prime, so 9 is in the sequence.


MATHEMATICA

Select[Range[3, 500], PrimeQ[#^6(#+1)^5]&] (* Harvey P. Dale, Apr 25 2011 *)


PROG

(MAGMA) [ n: n in [1..460]  IsPrime(p) and p gt 0 where p is n^6(n+1)^5 ];
(PARI) is(n)=isprime(n^6(n+1)^5) \\ Charles R Greathouse IV, Jun 13 2017


CROSSREFS

Cf. A171771, A002327 (primes of form n^2n1), A140719 (primes of form n^3(n+1)^2), A087191 (primes of form n^4(n+1)^3).
Sequence in context: A244533 A180149 A155879 * A243194 A283320 A086390
Adjacent sequences: A172189 A172190 A172191 * A172193 A172194 A172195


KEYWORD

nonn,easy


AUTHOR

Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 29 2010


EXTENSIONS

Edited, extended, nonspecific references removed and MAGMA program added by Associate Editors OEIS, Mar 05 2010


STATUS

approved



