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Journal Articles Mathematics of Computation Year : 2002

Ten Consecutive Primes In Arithmetic Progression

Harvey Dubner
  • Function : Author
Tony Forbes
  • Function : Author
Nik Lygeros
  • Function : Author
Michel Mizony
  • Function : Author
  • PersonId : 829740
Harry Nelson
  • Function : Author

Abstract

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.
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Dates and versions

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

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  • HAL Id : inria-00100978 , version 1

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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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