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A search for large twin prime pairs


Authors: R. E. Crandall and M. A. Penk
Journal: Math. Comp. 33 (1979), 383-388
MSC: Primary 10A25; Secondary 10J10
DOI: https://doi.org/10.1090/S0025-5718-1979-0514834-3
MathSciNet review: 514834
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Abstract: Two methods are discussed for finding large integers m such that $ m - 1$ and $ m + 1$ are both primes. Eight such numbers m of magnitudes 22, 22, 32, 64, 136, 154, 203, and 303 digits are listed; together with primitive roots (for $ m + 1$) and Lucas-Lehmer parameters (for $ m - 1$). The Hardy-Littlewood twin prime conjecture is supported by a statistical test involving the generation of 249 twin prime pairs in the 50-to-54 digit region.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0514834-3
Keywords: prime, twin primes, Hardy-Littlewood conjecture
Article copyright: © Copyright 1979 American Mathematical Society