We give a characterization of functions of the form f(n) = ν(n - E), where ν(-) denotes the exponent of 2, and E is a 2-adic integer. We show that it applies to the restriction to even or odd integers ...
Prime numbers, vital in mathematics and competitive exams, can be quickly identified using a systematic approach. This method involves checking divisibility by primes up to the square root of the ...