Maths Olympiad Exam

IF MATHS IS RELATED WITH NUMBERS, THEN HISTORY IS RELATED WITH WHAT ?

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Maths Olympiad Other Question

Consider a 20 sided convex polygon K, with vertices A1, A2.....A20 in that order.Find the No. of ways in which three sides of K can be chosen so that every pair among them has at least two sides of K between them.(For example(A1A2,A4A5,
A11A12) is an admissible triplet while A!A@,A4A5,A19A20)is not)
Q. Let x,y be two integers with x,y lying in closed interval [2,100].
Now prove that :
[x^{2^{n}} + y^{2^{n}}] is not a prime for some positive integer n.