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In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve".This sieve is similar to the sieve of Eratosthenes that generates the primes, but it eliminates numbers based on their position in the remaining set, instead of their value (or position in the initial set of natural numbers).
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 prime numbers. The primes of the form k 2 − k + 41 are
A circular prime number is a number that remains prime on any cyclic rotation of its digits (in base 10). 2, 3, ... Lucky numbers that are prime. 3, 7, ...
See List of prime numbers for definitions and examples of many classes of primes. Pages in category "Classes of prime numbers" The following 76 pages are in this category, out of 76 total.
The number 13 is a prime number, happy number [2] and a lucky number. [3] It is a twin prime with 11, as well as a cousin prime with 17. It is the second of only 3 Wilson primes: 5, 13, and 563. A 13-sided regular polygon is called a tridecagon.
Prime number; Composite number * List of prime numbers; 0–9. ... List of largest known primes and probable primes; Lucky numbers of Euler; Lunar arithmetic; M ...
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. [3]
The smallest n-digit number to achieve this number of primes is 2, 37, 137, 1379, 13679, 123479, 1234679, 12345679, 102345679, 1123456789, 10123456789, ... (sequence A134596 in the OEIS) Primeval numbers can be composite. The first is 1037 = 17×61. A Primeval prime is a primeval number which is also a prime number: