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#Теория_чисел #Задача

Найдите все сюръективные функции f: ℕ → ℕ такие, что для любых натуральных m, n и простого p f(m+n) делится на p тогда и только тогда, когда f(m) + f(n) делится на p.

Для обсуждения ваших решений вступайте в чат!



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#Теория_чисел #Задача

Найдите все сюръективные функции f: ℕ → ℕ такие, что для любых натуральных m, n и простого p f(m+n) делится на p тогда и только тогда, когда f(m) + f(n) делится на p.

Для обсуждения ваших решений вступайте в чат!

BY JustScience | Олимпиадная Математика




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