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  2. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k). m is smoother than n if the largest prime factor of m is below the largest of n.

  3. Ruth–Aaron pair - Wikipedia

    en.wikipedia.org/wiki/Ruth–Aaron_pair

    Any Ruth–Aaron pair of square-free integers belongs to both lists with the same sum of prime factors. The intersection also contains pairs that are not square-free, for example (7129199, 7129200) = (7×11 2 ×19×443, 2 4 ×3×5 2 ×13×457).

  4. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial ...

  5. Composite number - Wikipedia

    en.wikipedia.org/wiki/Composite_number

    If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:

  6. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    For example, if n = 171 × p × q where p < q are very large primes, trial division will quickly produce the factors 3 and 19 but will take p divisions to find the next factor. As a contrasting example, if n is the product of the primes 13729, 1372933, and 18848997161, where 13729 × 1372933 = 18848997157, Fermat's factorization method will ...

  7. Mbappé and Bellingham respond to unhappy fans with goals in ...

    www.aol.com/mbapp-bellingham-respond-unhappy...

    MADRID (AP) — Kylian Mbappé made some peace with Real Madrid’s fans. Mbappé scored in Madrid's 2-0 win over Getafe in the Spanish league on Sunday to help ease the pressure on the France star.

  8. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  9. Today's Wordle Hint, Answer for #1249 on Tuesday, November 19 ...

    www.aol.com/todays-wordle-hint-answer-1249...

    If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1249 ahead. Let's start with a few hints.

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