“And this proposition is generally true for all progressions and for all prime numbers; the proof of which I would send to you, if I were not afraid to be too long.”
Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long.
Fermat (in a letter dated October 18, 1640 to his friend and confidant Frénicle de Bessy) commenting on his statement that p divides a<sup> p−1</sup> − 1 whenever p is prime and a is coprime to p (this is what is now known as Fermat's little theorem).
Original
Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long.
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Pierre de Fermat 5
French mathematician and lawyer 1601–1665Related quotes
Source: The Curious Incident of the Dog in the Night-Time

On what became knows as the Peano axioms, in "I fondamenti dell’aritmetica nel Formulario del 1898", in Opere Scelte Vol. III (1959), edited by Ugo Cassina, as quoted in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)
Context: These primitive propositions … suffice to deduce all the properties of the numbers that we shall meet in the sequel. There is, however, an infinity of systems which satisfy the five primitive propositions. … All systems which satisfy the five primitive propositions are in one-to-one correspondence with the natural numbers. The natural numbers are what one obtains by abstraction from all these systems; in other words, the natural numbers are the system which has all the properties and only those properties listed in the five primitive propositions

Press conference http://www.boston.com/news/politics/politicalintelligence/2009/07/obama_cambridge.html addressing Henry Louis Gates's arrest by the Cambridge, MA police. (22 July 2009)
2009
Source: The Curious Incident of the Dog in the Night-Time

“I thought that all generations were lost by something and always had been and always would be”
Source: A Moveable Feast

quote in Berthe's notebook, after the death of her husband Eugène Manet, 1892; cited in Berthe Morisot, ed. Delafond and Genet-Bondeville, 1997, p. 70
1881 - 1895