Displaying similar documents to “An Invitation to Additive Prime Number Theory”

Prime Factorization of Sums and Differences of Two Like Powers

Rafał Ziobro (2016)

Formalized Mathematics

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Representation of a non zero integer as a signed product of primes is unique similarly to its representations in various types of positional notations [4], [3]. The study focuses on counting the prime factors of integers in the form of sums or differences of two equal powers (thus being represented by 1 and a series of zeroes in respective digital bases). Although the introduced theorems are not particularly important, they provide a couple of shortcuts useful for integer factorization,...

Landau’s problems on primes

János Pintz (2009)

Journal de Théorie des Nombres de Bordeaux

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At the 1912 Cambridge International Congress Landau listed four basic problems about primes. These problems were characterised in his speech as “unattackable at the present state of science”. The problems were the following : Are there infinitely many primes of the form n 2 + 1 ? ...