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A140803 Numbers of the form 2^(pq)-1/((2^p-1)(2^q-1)), where p>q are primes. +0
2
3, 11, 43, 151, 683, 2359, 2731, 43691, 174763, 599479, 2796203, 8727391, 9588151, 178956971, 715827883, 2454285751 (list; graph; listen)
OFFSET

1,1

COMMENT

The sequence contains, in particular, A126614 (q=2)and A143012 (q=3).

If pq-1 is squarefree then the terms of the sequence are either primes or overpseudoprimes to base 2 (see A141232). In particular, they are strong pseudoprimes to base 2 (A001262).

REFERENCES

V. Shevelev, Process of "primoverization" of numbers of the form a^n-1, http://arxiv.org/abs/0807.2332

CROSSREFS

Cf. A001262 A141232 A126614 A143012.

Sequence in context: A118166 A106876 A034477 this_sequence A084643 A007583 A026671

Adjacent sequences: A140800 A140801 A140802 this_sequence A140804 A140805 A140806

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 15 2008, Jul 22 2008; corrected Sep 07 2008

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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