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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Largest known twin primes
and Sophie Germain primes


Authors: Karl-Heinz Indlekofer and Antal Járai
Journal: Math. Comp. 68 (1999), 1317-1324
MSC (1991): Primary 11-04; Secondary :, 11A41
Published electronically: February 16, 1999
MathSciNet review: 1642750
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Abstract | References | Similar Articles | Additional Information

Abstract: The numbers $242206083\cdot 2^{38880}\pm 1$ are twin primes. The number $p=2375063906985\cdot 2^{19380}-1$ is a Sophie Germain prime, i.e. $p$ and $2p+1$ are both primes. For $p=4610194180515\cdot 2^{5056}-1$, the numbers $p$, $p+2$ and $2p+1$ are all primes.


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Additional Information

Karl-Heinz Indlekofer
Affiliation: Universität GH Paderborn, FB 17, D-33095 Paderborn, Germany
Email: k-heinz@uni-paderborn.de

Antal Járai
Affiliation: Universität GH Paderborn, FB 17, D-33095 Paderborn, Germany
Email: jarai@uni-paderborn.de

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01079-0
PII: S 0025-5718(99)01079-0
Received by editor(s): April 7, 1997
Received by editor(s) in revised form: February 5, 1998
Published electronically: February 16, 1999
Article copyright: © Copyright 1999 American Mathematical Society