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  2. List of repunit primes - Wikipedia

    en.wikipedia.org/wiki/List_of_repunit_primes

    For n greater than 1, both + and are greater than 4, so removing the factor of 8 (which is equivalent to removing the factor 4 from + or , and removing the factor 2 from the other number) still leaves two factors greater than 1. Therefore, the number cannot be prime.

  3. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    Ω(n), the prime omega function, is the number of prime factors of n counted with multiplicity (so it is the sum of all prime factor multiplicities). A prime number has Ω( n ) = 1. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 (sequence A000040 in the OEIS ).

  4. Square-free integer - Wikipedia

    en.wikipedia.org/wiki/Square-free_integer

    The square-free part is 7, the square-free factor such that the quotient is a square is 3 ⋅ 7 = 21, and the largest square-free factor is 2 ⋅ 3 ⋅ 5 ⋅ 7 = 210. No algorithm is known for computing any of these square-free factors which is faster than computing the complete prime factorization.

  5. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a composite number, or it is not, in which case it is a prime number. For example, 15 is a composite number because 15 = 3 · 5 , but 7 is a prime number because it cannot be decomposed in this way.

  6. 120 (number) - Wikipedia

    en.wikipedia.org/wiki/120_(number)

    The sum of its factors (including one and itself) sum to 360, exactly three times 120. Perfect numbers are order two ( 2-perfect ) by the same definition. 120 is the sum of a twin prime pair (59 + 61) and the sum of four consecutive prime numbers (23 + 29 + 31 + 37), four consecutive powers of two (8 + 16 + 32 + 64), and four consecutive powers ...

  7. Highly composite number - Wikipedia

    en.wikipedia.org/wiki/Highly_composite_number

    4,2,1,1,1 9 120 29 83160 3,3,1,1,1 9 ... (a 22 to a 228) are factors with exponent equal to one ... the last exponent c k must equal 1. It means that 1, 4, and 36 are ...

  8. Standard time (manufacturing) - Wikipedia

    en.wikipedia.org/wiki/Standard_time_(manufacturing)

    Observed time: The time measured to complete the task. Performance rating factor: The number pace the person is working at. 90% is working slower than normal, 110% is working faster than normal, 100% is normal. This factor is calculated by an experienced worker who is trained to observe and determine the rating.

  9. Table of divisors - Wikipedia

    en.wikipedia.org/wiki/Table_of_divisors

    For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n , then so is − m . The tables below only list positive divisors.