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A127074 Numbers n such that n^2 divides 3^n - 2^n - 1. 8
1, 2, 3, 4, 7, 49, 179, 619, 17807 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Prime p divides 3^p - 2^p - 1. Quotients (3^p - 2^p - 1)/p are listed in A127071.

Numbers n such that n divides 3^n - 2^n - 1 are listed in A127072.

The pseudoprimes in A127072 include all powers of primes and some composite numbers that are listed in A127073.

Numbers n such that n^3 divides 3^n - 2^n - 1 are {1,4,7,...}.

Primes in a(n) are {2,3,7,179,619,...}.

No other terms below 10^9.

MATHEMATICA

Do[f=(3^n-2^n-1); If[IntegerQ[f/n^2], Print[n]], {n, 1, 1000}]

CROSSREFS

Cf. A127071, A127072, A127073.

Sequence in context: A094313 A070527 A158652 * A109617 A181881 A071373

Adjacent sequences:  A127071 A127072 A127073 * A127075 A127076 A127077

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 04 2007

EXTENSIONS

6 incorrect terms deleted by D. S. McNeil (d.mcneil(AT)qmul.ac.uk), Mar 16 2009 (the old version was 1,2,3,4,7,49,179,619,17807,95041,135433,393217,589825,1376257,1545601)

Edited by Max Alekseyev (maxale(AT)gmail.com), Oct 21 2011

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Last modified February 13 22:36 EST 2012. Contains 205567 sequences.