
In mathematics, a SmarandacheWellin number is an integer that in a given base is the concatenation of the first n prime numbers written in that base. SmarandacheWellin numbers are named after Florentin Smarandache and Paul R. Wellin. The first decimal SmarandacheWellin numbers are: 2, 23, 235, 2357, 235711, ... (sequence A019518 in OEIS). A SmarandacheWellin number that is also prime is called a SmarandacheWellin prime. The indices of the first few SmarandacheWellin primes in the decimal SmarandacheWellin sequence are: 1, 2, 4, 128, 174, 342, 435. (sequence A046035 in OEIS) The SmarandacheWellin primes corresponding to indices 1, 2 and 4 are 2, 23 and 2357 (sequence A069151 in OEIS). The fourth SmarandacheWellin prime, with index 128, has 355 digits and ends with the digits 719.[1] The 1429th SmarandacheWellin number is a probable prime with 5719 digits, discovered by Eric W. Weisstein in 1998.[2] If confirmed, it will be the eighth SmarandacheWellin prime. In July 2006 Weisstein's search showed the index of the next SmarandacheWellin prime (if one exists) is greater than 18272.[3] See also * Copeland–Erdős constant References 1. ^ Pomerance, Carl B.; Crandall, Richard E. (2001). Prime Numbers: a computational perspective. Springer, p78 Ex 1.86. ISBN 0387252827. 2. ^ Rivera, Carlos, Primes by Listing 3. ^ Eric W. Weisstein, Integer Sequence Primes at MathWorld. * Eric W. Weisstein, SmarandacheWellin Number at MathWorld. * SmarandacheWellin number on PlanetMath * List of first 54 SmarandacheWellin numbers with factorisations * SmarandacheWellin primes at The Prime Glossary * Smith, S. "A Set of Conjectures on Smarandache Sequences." Bull. Pure Appl. Sci. 15E, 101107, 1996. Retrieved from "http://en.wikipedia.org/" 
