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Alphonse de Polignac (1826–1863) was a French mathematician and aristocrat. He his known for Polignac's Conjecture.
…in 1846 by French mathematician Alphonse de Polignac, who wrote that any even number can be expressed in infinite ways as the difference between two consecutive primes. When the even number is 2, this is the twin prime conjecture; that is, 2 = 5 − 3 = 7 − 5… Read More
Alphonse Armand Charles Georges Marie, prince de Polignac, né le 27 mars 1826 à Londres [1] et mort le 30 juin 1863 dans le 9 e arrondissement de Paris [2], est un mathématicien français du XIX e siècle.
In number theory, Polignac's conjecture was made by Alphonse de Polignac in 1849 and states: For any positive even number n, there are infinitely many prime gaps of size n. In other words: There are infinitely many cases of two consecutive prime numbers with difference n.
30 de mai. de 2024 · de Polignac's Conjecture. Every even number is the difference of two consecutive primes in infinitely many ways (Dickson 2005, p. 424). If true, taking the difference 2, this conjecture implies that there are infinitely many twin primes (Ball and Coxeter 1987).
French mathematician Alphonse de Polignac conjectured in 1849 that: ”Every even number is the difference of two consecutive primes in infinitely many ways.”[6, 7] The subsumed twin prime conjecture is more well known and is considered older, but its origin is not otherwise documented. de Polignac’s conjecture, a generalization for arbitrary even...
In 1849, Alphonse de Polignac conjectured that every odd positive integer can be written in the form 2n + p, for some integer n 0 and some prime p. In 1950, Erd ̋os constructed infinitely many counterexamples to Polignac’s conjecture.
