Ten Consecutive Primes In Arithmetic Progression (original) (raw)

Article Dans Une Revue Mathematics of Computation Année : 2002

Résumé

In 1967 the first set of 6 consecutive primes in arithmetic progression was found. In 1995 the first set of 7 consecutive primes in arithmetic progression was found. Between November, 1997 and March, 1998, we succeeded in finding sets of 8, 9 and 10 consecutive primes in arithmetic progression. This was made possible because of the increase in computer capability and availabiblity, and the ability to obtain computational help via the Internet. Although it is conjectured that there exist arbitrarily long sequences of consecutive primes in arithmetic progression, it is very likely that 10 primes will remain the record for a long time.

Mots clés

• consecutive primes
• progression arithmétique
• arithmetic progression
• nombres premiers consécutifs

Dates et versions

inria-00100978 , version 1 (26-09-2006)

Identifiants

• HAL Id : inria-00100978 , version 1

Citer

Harvey Dubner, Tony Forbes, Nik Lygeros, Michel Mizony, Harry Nelson, et al.. Ten Consecutive Primes In Arithmetic Progression. Mathematics of Computation, 2002, 71 (239), pp.1323-1328. ⟨inria-00100978⟩

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