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Mathematics of Computation

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A new method for producing large Carmichael numbers

Author: H. Dubner
Journal: Math. Comp. 53 (1989), 411-414
MSC: Primary 11A51; Secondary 11Y11
MathSciNet review: 969484
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Abstract: A new method for producing large three-component Carmichael numbers is derived. Only two primes must be found simultaneously instead of three as in the "standard" method. For each set of two primes many third primes can be found. Several Carmichael numbers with more than 3000 digits are shown, with the largest having 3710 digits.

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Article copyright: © Copyright 1989 American Mathematical Society