Determine whether or not the following congruence has a solution:
x^2 = 78 (mod 41503). If a solution exist then find a positive integer that satisfies the solution. Here, = means "congruent to".
I understand the fact that if 78 is the quadratic residue of 41503 then we have a solution but I...
Combinatorial math question. Please help!
Prove that the exponent on a prime p in the prime factorization of
\binom{2n}{n}\right)\left
is the number of powers p^k of p such that [2n/p^k] is odd. Use this to determine which primes divide...