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A127071 Quotients (3^p - 2^p - 1)/p, where p = prime[n]. 8
2, 6, 42, 294, 15918, 122010, 7588770, 61144062, 4092816966, 2366546223930, 19924878993558, 12169831579784970, 889585223857256850, 7633882758103350126, 565719451451489679414, 365721616201373974378410 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Prime p divides 3^p - 2^p - 1. 42 = 2*3*7 divides a(n) for n>2. Numbers n such that n divides 3^n - 2^n - 1 are listed in A127072(n) = {1,2,3,4,5,7,8,9,11,13,16,17,19,23,27,29,31,32,37,41,43,45,47,49,53,59,61,64,67,71,73,79,81,83,89,97,...}. Pseudoprimes in A127072(n) include all powers of primes {2,3,7} and some composite numbers that are listed in A127073(n) = {45,245,405,561,637,639,833,891,...}. Numbers n such that n^2 divides 3^n - 2^n - 1 are listed in A127074(n) = {1,2,3,4,7,49,179,619,...}. Numbers n such that n^3 divides 3^n - 2^n - 1 are {1,4,7,...}.

FORMULA

a(n) = (3^Prime[n] - 2^Prime[n] - 1)/Prime[n].

MATHEMATICA

Table[(3^Prime[n]-2^Prime[n]-1)/Prime[n], {n, 1, 20}]

CROSSREFS

Cf. A127072, A127073, A127074.

Sequence in context: A203618 A098814 A156437 * A151333 A190626 A191975

Adjacent sequences:  A127068 A127069 A127070 * A127072 A127073 A127074

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 12:15 EST 2012. Contains 205909 sequences.