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 ...

Prime numbers are the ones that have only two factors: 1 and itself. Credit: Ssindhwani / Wikimedia Commons Prime numbers are those divisible only by themselves and by one. Despite their apparent ...