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A277286 Composite numbers n such that b^n == b (mod sigma(n)) for every integer b. 0
7381, 13357, 18421, 69121, 70021, 129961, 192589, 241501, 271921, 313501, 342793, 399421, 423613, 625681, 780913, 1265641, 1362097, 1501489, 1566181, 1673101, 1691521, 1728001, 2228941, 2381401, 2472301, 2642221, 3156661, 3171961, 3383281, 3557521, 3730321, 4033861, 4233061, 4831201, 5387041, 6720961 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

MAPLE

N:= 10^7: # to get all terms <= N

Q:= select(isprime, [seq(q, q=5..N/9, 4)]):

filter:= proc(n) local s; uses numtheory;

  s:= sigma(n);

  issqrfree(s) and andmap(p -> (n-1 mod (p-1) = 0), factorset(s));

end proc:

select(filter, {seq(seq(q*m^2, m = 3..floor(sqrt(N/q)), 2), q=[1, op(Q)])}); # Robert Israel, Sep 21 2016

CROSSREFS

Sequence in context: A043589 A043806 A043824 * A022255 A189504 A028540

Adjacent sequences:  A277283 A277284 A277285 * A277287 A277288 A277289

KEYWORD

nonn

AUTHOR

Altug Alkan, Oct 09 2016

STATUS

approved

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Last modified April 18 14:42 EDT 2019. Contains 322209 sequences. (Running on oeis4.)