Table of prime factors information

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...

of factoring large numbers into their prime factors. In abstract algebra, objects that behave in a generalized way like prime numbers include prime elements...

process until every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem...

factorization Table of divisors – A table of prime and non-prime divisors for 1–1000 Table of prime factors – A table of prime factors for 1–1000 Unitary...

Pseudoprime – Probable prime that is composite Strong prime Table of prime factors Wieferich pair Lehmer, D. N. (1982). List of prime numbers from 1 to 10...

coefficients Table of derivatives Table of divisors Table of integrals Table of mathematical symbols Table of prime factors Taylor series Timeline of mathematics...

72 = 23 × 32, 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...

Euclidean algorithm Table of divisors Prime number, prime power Bonse's inequality Prime factor Table of prime factors Formula for primes Factorization RSA...

subset of the proper divisors of n sum to n List of prime numbers – List of prime numbers and notable types of prime numbers Table of prime factors OEIS...

integer is either the zero, one of the four units (±1, ±i), a Gaussian prime or composite. The article is a table of Gaussian Integers x + iy followed...

sufficient. A table of prime factors may be useful. A composite divisor may also have a rule formed using the same procedure as for a prime divisor, given...

which is still used today. This is a list of Recorde's terms. By comparison, here is a table of prime factors: Surd Mathematical dictionary, Chas Hutton...

and Interesting Numbers Power of two Power of 10 Surreal number Table of prime factors Weisstein, Eric W. "Hardy–Ramanujan Number". Archived from the original...

present.: 1  A load factor α {\displaystyle \alpha } is a critical statistic of a hash table, and is defined as follows: load factor   ( α ) = n m , {\displaystyle...

set of large semiprimes (numbers with exactly two prime factors) that were part of the RSA Factoring Challenge. The challenge was to find the prime factors...

number with no known factors; it has no prime factors below 268, and is very unlikely to have any factors below 1065 (~2216). The table below shows factorizations...

will always have characteristic factors or be a prime characteristic factor itself. The number of distinct prime factors of each Fibonacci number can be...

expressed exactly (terminates) if and only if all the prime factors of its denominator are also prime factors of the base. Because 2 × 5 = 10 {\displaystyle 2\times...

with q as a prime factor depend partly on the size of the prime factors of q − 1. This is true, for instance, of the p − 1 method. Safe primes are also important...

and the factors of bn + 1 are all factors of Φ 2 n ( b ) {\displaystyle \Phi _{2n}(b)} . When n is prime, both algebraic and aurifeuillean factors are not...

return a # Prime factors may be repeated: 12 factors to 2,2,3. This version tests every integer up to the square root of n, not just primes. A more complicated...

Numbers as factors Achim Flammenkamp, First 779674 HCN with sigma,tau,factors Online Highly Composite Numbers Calculator 5040 and other Anti-Prime Numbers...

The prime minister of the Hellenic Republic (Greek: Πρωθυπουργός της Ελληνικής Δημοκρατίας, romanized: Prothypourgós tis Ellinikís Dimokratías), colloquially...

effect." All Mersenne primes are of the form Mp = 2p − 1, where p is a prime number itself. The smallest Mersenne prime in this table is 21398269 − 1. The...

of factoring large integers and cracking RSA keys used in cryptography. They published a list of semiprimes (numbers with exactly two prime factors)...

Derrick Norman Lehmer (1867–1938), number theorist who produced tables of prime factors and mechanical devices like Lehmer sieves Derrick Henry Lehmer...

15) 1 prime 2 prime 3 prime 4 factors(except 1) 2 5 prime 6 factors(except 1) 2 3 7 prime 8 factors(except 1) 2 4 9 factors(except 1) 3 10 factors(except...

functions for factoring polynomials over finite fields, or, at least, over finite prime fields. The polynomial X q − X {\displaystyle X^{q}-X} factors into linear...