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10 conjectures in additive number theory

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arxiv 1101.4274 v1 pith:LSSLLQ4O submitted 2011-01-22 math.NT

classification math.NT
keywords conjectureprimesadditivealgorithmsconjecturesnumbertheoryappears
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Following an idea of Rowland we give a conjectural way to generate increasing sequences of primes using algorithms involving the gcd. These algorithms seem not so useless for searching primes since it appears we found sometime primes much more greater than the number of required iterations. In an other hand we propose new formulations of famous conjectures from the additive theory of numbers (the weak twin prime conjecture, the Polignac conjecture, the Goldbach conjecture or the very general Schinzel's hypothesis H). For the moment these are experimental results obtained using pari-gp.

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  1. A New Primes-Generating Sequence

    math.GM 2025-09 reject novelty 5.0 of 10

    A recurrence-based sequence n^2 - n - 1 divided by a gcd with a recursive helper is observed to yield only 1s and primes for the first 10,000 terms, but the prime-only claim is unproven.

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