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41 (forty-one) is the natural number following 40 and preceding 42 In mathematics. 41 is: the 13th ... That is a consequence of the fact that 41 is a factor of 99999.
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. ... 3·41 124: 2 ...
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.
The function is multiplicative (but not completely multiplicative).. The radical of any integer is the largest square-free divisor of and so also described as the square-free kernel of . [2]
43 = 41 + 2; 43 = 11 + 13 + 19; 43 = 2 + 11 + 13 + 17; 43 = 3 + 5 + 7 + 11 + 17. 43 is the smallest number with the property 43 = 4*prime(4) + 3*prime(3). Where prime(n) is the n-th prime number. There are only two numbers with that property, the other one is 127. When taking the first six terms of the Taylor series for computing e, one obtains
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:
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.
It contains a prime aliquot sum of 41, the thirteenth indexed prime; and part of the aliquot sequence (63, 41, 1, 0) within the 41-aliquot tree. 63 is the third Delannoy number , for the number of ways to travel from a southwest corner to a northeast corner in a 3 by 3 grid.