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Repunit R49081 is a probable prime
Author(s):
Harvey
Dubner.
Journal:
Math. Comp.
71
(2002),
833-835.
MSC (2000):
Primary 11A41
Posted:
March 30, 2001
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Abstract:
The Repunit R is a probable prime. In order to prove primality R49080 must be approximately 33.3% factored. The status of this factorization is included.
References:
-
- 1.
- John Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of
, Math. Comp., 29 (1975), 620-647. MR 52:5546; MR 83j:10010 - 2.
- J. Brillhart, D. H. Lehmer, J. I. Selfridge, B. Tuckerman, and S. S. Wagstaff, Jr., Factorization of
, up to high powers, Second edition, Contemp. Math. 22, Amer. Math. Soc., Providence, RI, 1988. MR 90d:11009 - 3.
- H. Dubner, Generalized repunit primes, Math. Comp. 61 (1993), 927-930. MR 94a:11009
- 4.
- H. C. Williams and H. Dubner, The primality of R1031, Math. Comp., 47 (1986), 703-711. MR 87k:11141
- 5.
- H. C. Williams and E. Seah, Some primes of the form
, Math. Comp. 33 (1979), 1337-1342. MR 80g:10014
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Additional Information:
Harvey
Dubner
Affiliation:
449 Beverly Road, Ridgewood, New Jersey 07450
Email:
hdubner1@compuserve.com
DOI:
10.1090/S0025-5718-01-01319-9
PII:
S 0025-5718(01)01319-9
Keywords:
Prime numbers,
primality proving
Received by editor(s):
March 21, 2000
Received by editor(s) in revised form:
May 30, 2000
Posted:
March 30, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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