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A122783 Nonprimes n such that 6^n==6 (mod n). 2
1, 6, 10, 15, 21, 30, 35, 105, 185, 190, 217, 231, 301, 430, 435, 481, 561, 777, 1105, 1111, 1221, 1261, 1333, 1729, 1866, 2121, 2465, 2553, 2701, 2821, 2955, 3421, 3565, 3589, 3885, 3913, 4123, 4495, 5061, 5565, 5662, 5713, 6531, 6533, 6601 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Theorem: If both numbers q and 2q-1 are primes then n=q*(2q-1) is in the sequence iff q<5 or q is of the form 12k+1. 6,15,2701,18721,49141,104653,226801,665281,... are such terms.

MATHEMATICA

Select[Range[7000], ! PrimeQ[ # ] && Mod[6^#, # ] == Mod[6, # ] &]

CROSSREFS

Cf. A005937.

Sequence in context: A080255 A168102 A115744 * A124000 A068443 A113940

Adjacent sequences:  A122780 A122781 A122782 * A122784 A122785 A122786

KEYWORD

easy,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Sep 12 2006

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.