Ten consecutive primes in arithmetic progression |
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| Authors: | H Dubner T Forbes N Lygeros M Mizony H Nelson P Zimmermann |
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| Institution: | 449 Beverly Road, Ridgewood, New Jersey 07450 ; 22 St. Albans Road, Kingston upon Thames, Surrey, KT2 5HQ England ; Institut Girard, Cnr Upres-A 502B, Université Lyon I 43 Bd Du 11 Novembre 1918, 69622 Villeurbanne Cedex, France ; Institut Girard, Cnr Upres-A 502B, Université Lyon I 43 Bd Du 11 Novembre 1918, 69622 Villeurbanne Cedex, France ; 4259 Emory Way, Livermore, California 94550 ; Inria Lorraine, Technopole de Nancy-Brabois, 615 Rue Du Jardin Botanique Bp 101, F-54600 Villers-Lès-Nancy, France |
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| 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 availability, 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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| Keywords: | Consecutive primes arithmetic progression |
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