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题库 / Prep2007E1-DS-11
If p is a positive odd integer, what is the remainder when p is divided by 4 ?
(1) When p is divided by 8, the remainder is 5.
(2) p is the sum of the squares of two positive integers.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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漏看了条件
作②的时候漏看了P是奇数的条件
条件2：a2+b2=p奇数，那么a奇b偶，a=2n+1，b=2m，则4n^2+4n+1+4m^2=p, p除以4只能余1
因为p是奇数 所以不可能是两个相同的数的平方之和，也不可能是两个偶数平方之和
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