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Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

Checking the odd Goldbach conjecture up to $10^{20}$

Author(s): Yannick Saouter.
Journal: Math. Comp. 67 (1998), 863-866.
MSC (1991): Primary 11P32
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Abstract: Vinogradov's theorem states that any sufficiently large odd integer is the sum of three prime numbers. This theorem allows us to suppose the conjecture that this is true for all odd integers. In this paper, we describe the implementation of an algorithm which allowed us to check this conjecture up to $10^{20}$.


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Additional Information:

Yannick Saouter
Affiliation: IRISA, Campus de Beaulieu, F-35042 Rennes Cédex, France
Email: Yannick.Saouter@irit.fr

DOI: 10.1090/S0025-5718-98-00928-4
PII: S 0025-5718(98)00928-4
Keywords: Odd Goldbach conjecture, primality tests
Received by editor(s): March 19, 1996
Received by editor(s) in revised form: October 16, 1996
Copyright of article: Copyright 1998, American Mathematical Society


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