

A181451


Numbers n such that 13 is the largest prime factor of n^21.


2



12, 14, 25, 27, 51, 53, 64, 79, 129, 131, 155, 181, 209, 274, 287, 337, 391, 649, 701, 703, 727, 846, 1249, 1351, 1457, 1574, 2001, 3431, 4159, 8191, 8449, 13311, 21295, 246401
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OFFSET

1,1


COMMENTS

Sequence is finite and complete, for proof see A175607.
Search for terms can be restricted to the range from 2 to A175607(6) = 246401; primepi(13) = 6.


LINKS

Table of n, a(n) for n=1..34.


MATHEMATICA

Select[Range[250000], FactorInteger[#^21][[1, 1]]==13&]


PROG

(MAGMA) [ n: n in [2..250000]  m eq 13 where m is D[#D] where D is PrimeDivisors(n^21) ]; // Klaus Brockhaus, Feb 18 2011
(PARI) is(n)=n=n^21; forprime(p=2, 11, n/=p^valuation(n, p)); n>1 && 13^valuation(n, 13)==n \\ Charles R Greathouse IV, Jul 01 2013


CROSSREFS

Cf. A175607, A181447A181450, A181452A181470, A181568.
Sequence in context: A101557 A019292 A175886 * A022326 A238228 A214504
Adjacent sequences: A181448 A181449 A181450 * A181452 A181453 A181454


KEYWORD

fini,nonn,full


AUTHOR

Artur Jasinski, Oct 21 2010


STATUS

approved



