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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. Subsets of the prime numbers may be generated with various formulas for primes.
Continue removing the nth remaining numbers, where n is the next number in the list after the last surviving number. Next in this example is 9. One way that the application of the procedure differs from that of the Sieve of Eratosthenes is that for n being the number being multiplied on a specific pass, the first number eliminated on the pass is the n-th remaining number that has not yet been ...
See List of prime numbers for definitions and examples of many classes of primes. Pages in category "Classes of prime numbers" The following 75 pages are in this category, out of 75 total.
These polynomials are all members of the larger set of prime generating polynomials. Leonhard Euler published the polynomial k 2 − k + 41 which produces prime numbers for all integer values of k from 1 to 40. Only 6 lucky numbers of Euler exist, namely 2, 3, 5, 11, 17 and 41 (sequence A014556 in the OEIS). [1] Note that these numbers are all ...
an Eisenstein prime, with no imaginary part and real part of the form 3n − 1. a Proth prime as it is 5 × 2 3 + 1. [3] the largest lucky number of Euler: the polynomial f(k) = k 2 − k + 41 yields primes for all the integers k with 1 ≤ k < 41. the sum of two squares (4 2 + 5 2), which makes it a centered square number. [4]
This category includes articles relating to prime numbers and primality. For a list of prime numbers, see list of prime numbers . This category roughly corresponds to MSC 11A41 Primes and MSC 11A51 Factorization; primality
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151 is the 36th prime number, the previous is 149, with which it comprises a twin prime. 151 is also a palindromic prime, a centered decagonal number, [1] and a lucky number. [ 2 ] 151 appears in the Padovan sequence , preceded by the terms 65 , 86 , 114 ; it is the sum of the first two of these.