Seven consecutive primes in arithmetic progression
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- by Harvey Dubner and Harry Nelson PDF
- Math. Comp. 66 (1997), 1743-1749 Request permission
Abstract:
It is conjectured that there exist arbitrarily long sequences of consecutive primes in arithmetic progression. In 1967, the first such sequence of 6 consecutive primes in arithmetic progression was found. Searching for 7 consecutive primes in arithmetic progression is difficult because it is necessary that a prescribed set of at least 1254 numbers between the first and last prime all be composite. This article describes the search theory and methods, and lists the only known example of 7 consecutive primes in arithmetic progression.References
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Additional Information
- Harvey Dubner
- Affiliation: 449 Beverly Road, Ridgewood, New Jersey 07450
- Email: 70327.1170@compuserve.com
- Harry Nelson
- Affiliation: 4259 Erory Way, Livermore, California 94550
- Email: hln@anduin.ocf.llnl.gov
- Received by editor(s): January 30, 1996
- Received by editor(s) in revised form: August 16, 1996
- © Copyright 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 1743-1749
- MSC (1991): Primary 11N13
- DOI: https://doi.org/10.1090/S0025-5718-97-00875-2
- MathSciNet review: 1423071