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A107360
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Numbers p (necessarily prime) such that 2^p - 1 is a Mersenne prime and (2^p+1)/3 is a Wagstaff prime.
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1
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OFFSET
| 1,1
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COMMENTS
| Intersection of A000043 and A000978.
Comment from R. K. Guy, May 20 2005: `The New Mersenne Conjecture' (Bateman-Selfridge-Wagstaff) states that if two of the following statements about an odd positive integer p are true, then the third one is also true: (a) p = 2^k +- 1 or p = 4^k +- 3, (b) M_p is prime, (c) (2^p + 1)/3 is prime. (Amer Math Monthly, 96 (1989) p. 125).
p either has the form 2^k -+ 1 or the form 4^k -+ 3, according to the New Mersenne Prime Conjecture. - Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 20 2006
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LINKS
| C. K. Caldwell, The Prime Glossary, New Mersenne prime conjecture
C. Rivera, The Prime Puzzles & Problems Connection, The New Mersenne Conjecture
Wikipedia, New Mersenne conjecture
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CROSSREFS
| Sequence in context: A045399 A122834 A174265 * A058341 A116036 A032397
Adjacent sequences: A107357 A107358 A107359 * A107361 A107362 A107363
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KEYWORD
| hard,more,nonn
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AUTHOR
| Lekraj Beedassy (blekraj(AT)yahoo.com), May 23 2005
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