Alphonse de Polignac

Alphonse de Polignac (1826–1863) was a French mathematician. In 1849, the year he was admitted to Polytechnique, he made what's known as Polignac's conjecture:[1]

For every positive integer k, there are infinitely many prime gaps of size 2k.

The case k = 1 is the twin prime conjecture.

He also conjectured Romanov's theorem.

His father, Jules de Polignac (1780-1847) was prime minister of Charles X until the Bourbon dynasty was overthrown (1830).

See also

References
  1. de Polignac, A. (1849). "Recherches nouvelles sur les nombres premiers" [New research on prime numbers]. Comptes rendus (in French). 29: 397–401. From p. 400: "1er Théorème. Tout nombre pair est égal à la différence de deux nombres premiers consécutifs d'une infinité de manières … " (1st Theorem. Every even number is equal to the difference of two consecutive prime numbers in an infinite number of ways … )
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.