问题描述：
数学竞赛题,
不多说,直接进入主题,
Alice and Bob want to design a modern "anti-prime polynomial" f(x) that satisfies the conditions:
(1).f(x) is degree 2010 and all of the coefficients of f(x) are either 0,1 or -1; and
(2).f(-1)f(0)f(1)≠ 0; and
(3).for every integer x,｜f(x)｜ is not prime.
Does such a polynomial f(x) exist?( 1 is not a prime)
就是这题目,有无数学达人懂的,希望可以屈尊赐教,
当 x=-1时，f(x)=x^2010+x^2009+x^2008+x^2+x+1= 2
但是题目中第三个条件是 ｜f(x)｜ is not prime
不多说,直接进入主题,
Alice and Bob want to design a modern "anti-prime polynomial" f(x) that satisfies the conditions:
(1).f(x) is degree 2010 and all of the coefficients of f(x) are either 0,1 or -1; and
(2).f(-1)f(0)f(1)≠ 0; and
(3).for every integer x,｜f(x)｜ is not prime.
Does such a polynomial f(x) exist?( 1 is not a prime)
就是这题目,有无数学达人懂的,希望可以屈尊赐教,
当 x=-1时，f(x)=x^2010+x^2009+x^2008+x^2+x+1= 2
但是题目中第三个条件是 ｜f(x)｜ is not prime
问题解答：
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