Alphonse de Polignac
Encyclopedia
Alphonse de Polignac was a French
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

. In 1849 he made Polignac's conjecture
Polignac's conjecture
In number theory, Polignac's conjecture was made by Alphonse de Polignac in 1849 and states:The conjecture has not been proven or disproven for any value of n....

:
For every natural number k, there are infinitely many prime gaps of size 2k.


The case k = 1 is the twin prime conjecture.
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