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Задача по теории чисел с прошедшей недавно Санкт-Петербургской олимпиады!

Дано натуральное число m. Докажите, что существует бесконечно много натуральных n, взаимно простых с m, для которых (n!)^2+1 — составное.



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#задача #теория_чисел
Задача по теории чисел с прошедшей недавно Санкт-Петербургской олимпиады!

Дано натуральное число m. Докажите, что существует бесконечно много натуральных n, взаимно простых с m, для которых (n!)^2+1 — составное.

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