Number Theory

    

Pairs of Primes or Pseudoprimes that Generate an Infinity of Primes or Pseudoprimes Via a Certain Recurrence Relation

Authors: Marius Coman

In this paper are made five conjectures about a type of pairs of primes respectively Fermat pseudoprimes which have the property to generate an infinity of primes respectively Fermat pseudoprimes via a recurrence formula that will be defined in this paper; we name the pairs with this property Coman pairs of primes respectively Coman pairs of pseudoprimes. Because it is easy to show that two given primes respectively pseudoprimes do not form such a pair and it is very difficult to prove that they form such a pair, the correct expression about two odd primes (or pseudoprimes) p, q, where p = 30*k + d and q = 30*h + d, where k, h are non-null positive integers and d has the values 1, 7, 11, 13, 17, 19, 23, 29, is that the pair (p,q) is not a Coman pair respectively that the pair (p,q) is a possible Coman pair of primes (or pseudoprimes).

Comments: 4 Pages.

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Submission history

[v1] 2014-01-30 02:45:36

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