



697, 1241, 1247, 1271, 1513, 2057, 2201, 2329, 2501, 2873, 3053, 3131, 3683, 3689, 3961, 4015, 4061, 4141, 4777, 4859, 4991, 5321, 5921, 5963, 6137, 6851, 6953, 7421, 7769, 7781, 7957, 8471, 8711, 8857, 9017, 9211, 9271, 9401, 9641, 9673, 10217, 10277, 10489, 10795, 11033, 11501
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OFFSET

1,1


COMMENTS

Numbers n such that gcd(n, 2^n2) > 1 and gcd(n, b^nb) = 1 for some b > 2, b < n.
Or: Numbers n such that gcd(n, 2^n2) > 1 and for every prime factor p of n, p1 does not divide n1.
2057 is the first term not in A008367, nor in A287391.  M. F. Hasler, Oct 04 2018


LINKS

M. F. Hasler, Table of n, a(n) for n = 1..10000


FORMULA

A121707 \ A267999.


EXAMPLE

The smallest element of this sequence is a(1) = 697 = 17*41.


PROG

(PARI) is(n, p)={for(i=1, #p=factor(n)[, 1], (n1)%(p[i]1)return); gcd(n, lift(Mod(2, n)^n2))>1}


CROSSREFS

Cf. A121707, A267999.
Sequence in context: A160206 A111105 A137559 * A185377 A118059 A028500
Adjacent sequences: A306094 A306095 A306096 * A306098 A306099 A306100


KEYWORD

nonn


AUTHOR

M. F. Hasler, following remarks from Tomasz Ordowski, Oct 03 2018


STATUS

approved



