Answer to Question #82357 in Combinatorics | Number Theory for Cartoon

Question #82357
1. Let S= 1^1 + 2^2+3^3+.....+2010^2010. . What is the remainder when S is divided by 2?
2. Find the number of odd coefficients in expansion of (x + y)^2010.
3. Find all prime numbers p and integers a and b (not necessarily positive) such that p^a + p^b
is the square of a rational number.
1
Expert's answer
2018-11-05T09:52:09-0500
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