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  2. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    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). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (sequence A000290 in the OEIS). A cube has all multiplicities divisible by 3 (it is of the form a 3 for some a).

  3. List of prime numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_prime_numbers

    A prime number (or prime) is a ... 181–200 1087: 1091: 1093: 1097: 1103: ... A cluster prime is a prime p such that every even natural number k ≤ p − 3 is the ...

  4. List of numbers - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/List_of_numbers

    A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.

  5. Parity (mathematics) - Wikipedia

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

    The even numbers form an ideal in the ring of integers, [13] but the odd numbers do not—this is clear from the fact that the identity element for addition, zero, is an element of the even numbers only. An integer is even if it is congruent to 0 modulo this ideal, in other words if it is congruent to 0 modulo 2, and odd if it is congruent to 1 ...

  6. List of largest known primes and probable primes - Wikipedia

    en.wikipedia.org/wiki/List_of_largest_known...

    100 863282×5 5179692 - 1 17 October 2024 3,620,456 101 670490×12 3352450 - 1 17 October 2024 3,617,907 102 4×3 7578378 + 1 9 September 2024 3,615,806 103 11×2 11993994 − 1 15 August 2024 3,610,554 104 3761×2 11978874 − 1 6 July 2022 3,606,004 105 95×2 11954552 − 1 28 May 2024 3,598,681 106 259072×5 5136295 − 1 28 October 2024 ...

  7. List of Mersenne primes and perfect numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_Mersenne_primes...

    Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1.

  8. 304 (number) - Wikipedia

    en.wikipedia.org/wiki/304_(number)

    304 is an even composite number with two prime factors. [1] 304 is the sum of consecutive primes in two different ways: [2] It is the sum of 41+43+47+53+59+61 and of 23+29+31+37+41+43+47+53. 304 is a primitive semiperfect number meaning that it is a semiperfect number that is not divisible by any other semiperfect number. [3]

  9. 228 (number) - Wikipedia

    en.wikipedia.org/wiki/228_(number)

    228 is a refactorable number [1] and a practical number. [2] There are 228 matchings in a ladder graph with five rungs. [3] 228 is the smallest even number n such that the numerator of the nth Bernoulli number is divisible by a nontrivial square number that is relatively prime to n.