Theorem. If is a prime and , then the congruence has solutions or no solution according as or not. Can someone explain what this means linguistically? I don't understand what "according as [...] or not" means.
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Originally Posted by paupsers Theorem. If is a prime and , then the congruence has solutions or no solution according as or not. Can someone explain what this means linguistically? I don't understand what "according as [...] or not" means. "An integer a coprime with a prime p is an n-th root modulo p iff a raised to the power that appears there equals 1 mod p" Or in the language of groups: an element has n-th root there iff its order divides Tonio
Originally Posted by paupsers Theorem. If is a prime and , then the congruence has solutions or no solution according as or not. Can someone explain what this means linguistically? I don't understand what "according as [...] or not" means. this means that if then has solutions and if then has no solutions.
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