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The Nth Prime Page Nth prime through n=10^12, pi(x) through x=3*10^13, Random primes in same range. Interface to a list of the first 98 million primes (primes less than 2,000,000,000) Weisstein, Eric W. "Prime Number Sequences" .
Therefore, every prime number other than 2 is an odd number, and is called an odd prime. [10] Similarly, when written in the usual decimal system, all prime numbers larger than 5 end in 1, 3, 7, or 9. The numbers that end with other digits are all composite: decimal numbers that end in 0, 2, 4, 6, or 8 are even, and decimal numbers that end in ...
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.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A prime number p such that 2p + 1 is also prime. A005384: Wilson primes: 5, 13, 563 Primes satisfying (p−1)! ≡ −1 (mod p 2). A007540: Happy numbers: 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, ... The numbers whose trajectory under iteration of sum of squares of digits map includes 1. A007770: Factorial primes
A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). [1]The first 10 factorial primes (for n ...
For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1. [1] [2] The numbers 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]
Natural numbers including 0 are also sometimes called whole numbers. [1] [2] ... Prime number: A positive integer with exactly two positive divisors: itself and 1 ...