Mathematics – Number Theory
Scientific paper
2011-01-22
Mathematics
Number Theory
45 pages, 18 figures
Scientific paper
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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Bruno Marchadour
This paper is a rough draft (a bit long) but give probably new insight for old conjectures in the field.
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