prime numbers

來源: haha2000 於 2009-02-09 20:33:45 [] [舊帖] [給我悄悄話] 閱讀數 : (204 bytes)
回答: 奧地利奧賽題：多項式（2.5星） 由 康MM 於 2009-02-09 10:21:32

x P(x) - m = prod_{positive integer k | m} (x - k) g(x)

P(x) in Z(x)

we know g(x) in Z(x)

let x = 0, -m = prod_{positive integer k | m} (-k) * g(0)

==> m must be a prime number

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