Marius Coman
Abstract
In this paper I state the following conjecture: there exist an infinity of primes of the form 3*p*(q – 1) – 1, where p and q are primes and p = q + 6. Note that from the first terms of the sequence of sexy primes we have a chain of consecutive 9 primes: 131, 233, 509, 683, 1103, 1913, 3329, 4643, 5639 (for q = 5, 7, 11, 13, 17, 23, 31, 37, 41).
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In this paper I state the following conjecture: there exist an infinity of primes of the form 3*p*(q – 1) – 1, where p and q are primes and p = q + 6. Note that from the first terms of the sequence of sexy primes we have a chain of consecutive 9 primes: 131, 233, 509, 683, 1103, 1913, 3329, 4643, 5639 (for q = 5, 7, 11, 13, 17, 23, 31, 37, 41).
Key concepts: Conjecture, Infinity, Combinatorics, Mathematics, Sequence (biology), Chain (unit), Twin prime, Physics