

A228613


Least prime factor of (2n+1)^(2n+1)+2


1



3, 29, 53, 3, 59, 97, 3, 23, 7, 3, 31, 19, 3, 5, 51131, 3, 5, 2003, 3, 229, 139, 3, 4215399123059, 5, 3, 179, 5, 3, 43, 7, 3, 103993, 61141, 3, 19961719, 13, 3, 2391083871204802979, 331, 3, 89, 30707, 3, 5, 601, 3, 5
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OFFSET

0,1


COMMENTS

Suggested by S. Sykora in a discussion in the OEIS users group on LinkedIn, since the numbers to be factored here are more "elementary" than those of the existing A216146, in turn motivated by A160360.
As of today, a(47) seems not yet known.


LINKS

Table of n, a(n) for n=0..46.
Factor DB, (2*n+1)^(2*n+1)+2.


FORMULA

a(3k)=3 for all k >= 0.


MATHEMATICA

Table[FactorInteger [((2 n + 1)^(2 n + 1) + 2)][[1, 1]], {n, 0, 46}] (* Vincenzo Librandi, Feb 24 2014 *)


PROG

(PARI) A228613=n>factor((2*n+1)^(2*n+1)+2)[1, 1]


CROSSREFS

Cf. A216146, A160360.
Sequence in context: A165440 A072306 A303137 * A071150 A107189 A059761
Adjacent sequences: A228610 A228611 A228612 * A228614 A228615 A228616


KEYWORD

nonn


AUTHOR

M. F. Hasler and Stanislav Sykora, Feb 22 2014


STATUS

approved



