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  2. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    The tables contain the prime factorization of the natural numbers from 1 to 1000. When n is a prime number , the prime factorization is just n itself, written in bold below. The number 1 is called a unit .

  3. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    Prime factor. Table of prime factors; Formula for primes; Factorization. RSA number; ... Note: Computational number theory is also known as algorithmic number theory.

  4. Prime number theorem - Wikipedia

    en.wikipedia.org/wiki/Prime_number_theorem

    Based on the tables by Anton Felkel and Jurij Vega, Adrien-Marie Legendre conjectured in 1797 or 1798 that π(a) is approximated by the function a / (A log a + B), where A and B are unspecified constants. In the second edition of his book on number theory (1808) he then made a more precise conjecture, with A = 1 and B = −1.08366.

  5. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    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. If one of the factors is composite, it can in turn be written as a product of smaller factors, for example 60 = 3 · 20 = 3 · (5 · 4).

  6. Table of Gaussian integer factorizations - Wikipedia

    en.wikipedia.org/wiki/Table_of_Gaussian_Integer...

    The entries in the table resolve this ambiguity by the following convention: the factors are primes in the right complex half plane with absolute value of the real part larger than or equal to the absolute value of the imaginary part. The entries are sorted according to increasing norm x 2 + y 2 (sequence A001481 in the OEIS). The table is ...

  7. Prime omega function - Wikipedia

    en.wikipedia.org/wiki/Prime_omega_function

    In number theory, the prime omega functions and () count the number of prime factors of a natural number . Thereby (little omega) counts each distinct prime factor, whereas the related function () (big omega) counts the total number of prime factors of , honoring their multiplicity (see arithmetic function).

  8. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    where both factors have integer coefficients (the fact that Q has integer coefficients results from the above formula for the quotient of P(x) by /). Comparing the coefficients of degree n and the constant coefficients in the above equality shows that, if p q {\displaystyle {\tfrac {p}{q}}} is a rational root in reduced form , then q is a ...

  9. List of prime numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_prime_numbers

    This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.