Classifier Instance:

Anchor text: Marin Mersenne
Target Entity: Marin_Mersenne
Preceding Context: After the Greeks, little happened with the study of prime numbers until the 17th century. In 1640 Pierre de Fermat 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
Succeeding Context: 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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