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The name "emirp" is the reverse of the word "prime". ... All prime numbers from 31 to 6,469,693,189 for free download. Lists of Primes at the Prime Pages.
The first 25 prime numbers (all the prime numbers less than 100) ... importance to number theory but also have many applications to other areas within ...
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1.
Ω(n), 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 has Ω(n) = 1. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 (sequence A000040 in the OEIS). There are many special types of prime numbers. A composite number has Ω(n) > 1.
None of the first twenty-nine natural numbers have more than two different prime factors (in other words, this is the longest such consecutive sequence; the first sphenic number or triprime, 30 is the product of the first three primes 2, 3, and 5). 29 is also,
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199 is a centered triangular number. [1]It is a prime number and the fourth part of a prime quadruplet: 191, 193, 197, 199. [2]199 is the smallest natural number that takes more than two iterations to compute its digital root as a repeated digit sum: + + = + = + = Thus, its additive persistence is three, and it is the smallest number of persistence three.
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