Alphonse de Polignac

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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:

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

The case k = 1 is the twin prime conjecture.

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

See also[edit]


  • Weisstein, Eric W. "de Polignac's Conjecture". MathWorld.