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A086982 Numbers n such that 10^n+1 is not squarefree. 6
11, 21, 33, 39, 55, 63, 77, 99, 105, 117, 121, 136, 143, 147, 165, 171, 187, 189, 195, 202, 209, 231, 243, 253, 273, 275, 292, 297, 315, 319, 341, 351, 357, 363, 385, 399, 406, 407, 408, 429, 441, 451, 473, 483, 495, 507, 513, 517, 525, 539, 548, 561, 567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is the union of the collection of sequences formed from the nonzero terms of A086981 * A005408, the odd numbers. First occurrence of consecutive integers in sequence is 406,407,408.

From Robert Israel, Feb 13 2017: (Start)

Numbers n such that gcd(n, 10^n + 1) > 1 or n = k m where k is odd and 2 m is the order of 2 modulo a member of A045616.

If n is in the sequence, then so is k*n for any odd k. (End)

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

filter:= n -> (n mod 243 = 0 and (n/243)::odd) or igcd(n, (10 &^n +1 mod n)) > 1: # Note that this works if n < 28299156

select(filter, [$1..1000]); # Robert Israel, Feb 13 2017

CROSSREFS

Cf. A005408, A013929, A086981, A045616, A049096, A282344, A282345.

Sequence in context: A264646 A139113 A109335 * A145060 A146246 A215968

Adjacent sequences:  A086979 A086980 A086981 * A086983 A086984 A086985

KEYWORD

nonn

AUTHOR

Ray Chandler, Jul 27 2003

STATUS

approved

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Last modified November 12 14:43 EST 2019. Contains 329058 sequences. (Running on oeis4.)