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A141232 Overpseudoprimes in base 2: A137576((a(n)-1)/2)=a(n). +0
21
2047, 3277, 4033, 8321, 65281, 80581, 85489, 88357, 104653, 130561, 220729, 253241, 256999, 280601, 390937, 458989, 486737, 514447, 580337, 818201, 838861, 877099, 916327, 976873, 1016801, 1082401, 1145257, 1194649, 1207361, 1251949, 1252697, 1325843, 1397419, 1441091, 1507963, 1509709, 1530787, 1678541, 1811573, 2004403 (list; graph; listen)
OFFSET

1,1

COMMENT

Numbers are found by prime factorization of numbers from A001262 and a simple testing of the conditions indicated in comment to A141216.

All composite Mersenne numbers (A001348), Fermat numbers (A000215) and squares of Wieferich primes (A001220) are in this sequence. - Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 15 2008

REFERENCES

Vladimir Shevelev, On an invariant of divisors of Mersenne numbers, preprint.

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

CROSSREFS

Cf. A001262 A141216 A001567 A002326.

Sequence in context: A145590 A038462 A001262 this_sequence A062568 A075954 A011561

Adjacent sequences: A141229 A141230 A141231 this_sequence A141233 A141234 A141235

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jun 16 2008, Jun 20 2008, Jul 31 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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