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Large Sophie Germain primes
Author(s):
Harvey
Dubner.
Journal:
Math. Comp.
65
(1996),
393-396.
MSC (1991):
Primary 11A41
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Abstract:
If is a prime and is also prime, then is a Sophie Germain prime. In this article several new Sophie Germain primes are reported, which are the largest known at this time. The search method and the expected search times are discussed.
References:
- 1
- J. Brillhart, D. H. Lehmer, and J. L. Selfridge, New primality criteria and factorizations of
, Math. Comp. 29 (1975), 620--647. MR 52:5546 - 2
- C. Caldwell, Review of the Cruncher PC plug-in board, J. Recreational Math. 25 (1993), 56--57.
- 3
- ------, The largest known primes, updated regularly and is available on request. Tel. (901) 587--7360, E-mail: caldwell@UTmartn.bitnet
- 4
- G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 5th ed., Oxford Univ. Press, New York, 1979. MR 81i:10002
- 5
- P. Ribenboim, The book of prime number records, 2nd ed., Springer-Verlag, New York, 1989. MR 90g:11127
- 6
- H. Riesel, Prime numbers and computer methods for factorization, Birkhäuser, Boston, 1958.
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Additional Information:
Harvey
Dubner
Affiliation:
449 Beverly Road, Ridgewood, New Jersey 07450
Email:
70372.1170@compuserve.com
DOI:
10.1090/S0025-5718-96-00670-9
PII:
S 0025-5718(96)00670-9
Received by editor(s):
March 7, 1994
Received by editor(s) in revised form:
April 26, 1994
Copyright of article:
Copyright
1996,
American Mathematical Society
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