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

New maximal prime gaps and first occurrences

Author(s): Thomas R. Nicely.
Journal: Math. Comp. 68 (1999), 1311-1315.
MSC (1991): Primary 11A41; Secondary 11-04, 11Y11, 11Y99
Posted: February 13, 1999
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Abstract: The search for first occurrences of prime gaps and maximal prime gaps is extended to $10^{15}$. New maximal prime gaps of 806 and 906 are found, and sixty-two previously unpublished first occurrences are found for gaps varying from 676 to 906.


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Additional Information:

Thomas R. Nicely
Affiliation: Department of Mathematics, Lynchburg College, 1501 Lakeside Drive, Lynchburg, Virginia 24501-3199
Email: nicely@acavax.lynchburg.edu

DOI: 10.1090/S0025-5718-99-01065-0
PII: S 0025-5718(99)01065-0
Keywords: Prime numbers, prime gaps, first occurrences, maximal gaps, maximal prime gaps
Received by editor(s): June 16, 1997
Received by editor(s) in revised form: December 5, 1997
Posted: February 13, 1999
Copyright of article: Copyright 1999, American Mathematical Society


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