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  2. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    Even and odd numbers have opposite parities, e.g., 22 (even number) and 13 (odd number) have opposite parities. In particular, the parity of zero is even. [2] Any two consecutive integers have opposite parity. A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That ...

  3. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Even and odd numbers: An integer is even if it is a multiple of 2, and is odd otherwise. Prime number: A positive integer with exactly two positive divisors: itself and 1. The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...

  4. 20 (number) - Wikipedia

    en.wikipedia.org/wiki/20_(number)

    In combinatorics, 20 is the number of distinct combinations of 6 items taken 3 at a time. Equivalently, it is the central binomial coefficient for n=3 (sequence A000984 in the OEIS). In decimal, 20 is the smallest non-trivial neon number equal to the sum of its digits when raised to the thirteenth power (20 13 = 8192 × 10 13). [citation needed]

  5. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    The first: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 (sequence A005843 in the OEIS). An odd number does not have the prime factor 2. The first: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 (sequence A005408 in the OEIS). All integers are either even or odd. A square has even multiplicity for all prime factors (it is of the form a 2 for some a).

  6. Number - Wikipedia

    en.wikipedia.org/wiki/Number

    A prime number, often shortened to just prime, is an integer greater than 1 that is not the product of two smaller positive integers. The first few prime numbers are 2, 3, 5, 7, and 11. There is no such simple formula as for odd and even numbers to generate the prime numbers.

  7. List of prime numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_prime_numbers

    All odd primes between 3 and 89, inclusive, are cluster primes. ... Odd primes p that divide the class number of the p-th cyclotomic field. 37, ... 20 p − 1 ≡ 1 ...

  8. Parity of zero - Wikipedia

    en.wikipedia.org/wiki/Parity_of_zero

    A number n is odd if there is an integer k such that n = 2k + 1. One way to prove that zero is not odd is by contradiction: if 0 = 2k + 1 then k = −1/2, which is not an integer. [15] Since zero is not odd, if an unknown number is proven to be odd, then it cannot be zero.

  9. Sum of two squares theorem - Wikipedia

    en.wikipedia.org/wiki/Sum_of_two_squares_theorem

    A number may have multiple representations as a sum of two squares, ... an odd number. So 3430 cannot be written as the sum of two squares. ... 18, 20, 25, 26, 29, 32