Polignac's
conjecture: Derivation of a Mathematical Formula
cnXiv by
Jian Hu,
波利尼亚克猜想:数学表达式的一个推导
cnxiv 作者:胡坚
Abstract: With using the segmented
Eratosthenes' sieve approach, a definite mathematical formula
describing Polignac's conjecture, p_(k+1)=p_k+2h, is deduced from a
newly uncovered unusual distribution of prime numbers in the p_k~l_k
plot (l_k is the segment length and p_k the prime number), where the
parameter h is a positive integer unique to prime numbers. Validity
of the said formula is proved by mathematical induction.
Keywords: number theory, Polignac's
conjecture, sieve of Eratosthenes, formula.
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