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The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. ... 56: 2 3 ·7 ...
2.56 Safe primes. 2.57 Self primes in ... (or prime) is a natural number ... write the prime factorization of n in base 10 and concatenate the factors; iterate until ...
Regular 56-gon, associated by the Pythagoreans with Typhon. 56 is: The sum of the first six triangular numbers (making it a tetrahedral number). [1] The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. The sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17)
The same prime factor may occur more than once; this example has two copies of the prime factor When a prime occurs ... [56] The first five of them are prime, but the ...
For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1. [1] [2] The exponents p corresponding to Mersenne primes must themselves be prime, although the vast majority of primes p do not lead to Mersenne primes—for example, 2 11 − 1 = 2047 = 23 × 89. [3]
Roughly speaking, for a number to be highly composite it has to have prime factors as small as possible, but not too many of the same. ... 56 (3): 448 – 469. doi:10 ...
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). Continuing this 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.
a prime number has only 1 and itself as divisors; that is, d(n) = 2; ... 56 28 perfect, composite 29: 1, 29 2 30 1 deficient, prime 30: