Classifier Instance:

Anchor text: Pierre de Fermat
Target Entity: Pierre_de_Fermat
Preceding Context: After the Greeks, little happened with the study of prime numbers until the 17th century. In 1640
Succeeding Context: stated (without proof) Fermat's little theorem (later proved by Leibniz and Euler). A special case of Fermat's theorem may have been known much earlier by the Chinese. Fermat conjectured that all numbers of the form 2 2 n  + 1 are prime (they are called Fermat numbers) and he verified this up to n = 4 (or 2 16  + 1). However, the very next Fermat number 2 32  + 1 is composite (one of its prime factors is 641), as Euler discovered later, and in fact no further Fermat numbers are known to be prime. The French monk Marin Mersenne looked at primes of the form 2 p  − 1, with p a prime. They are called Mersenne primes in his honor.
Paragraph Title: History
Source Page: Prime number

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