The th Smarandache-Wellin number is formed from the consecutive number sequence obtained by concatenating of the digits of the first  primes. The first few are 2, 23, 235, 2357, 235711, ... (OEIS A019518; Smith 1996, Mudge 1997). This sequence converges to the digits of the Copeland-Erdős constant.

Prime Smarandache-Wellin numbers are called Smarandache-Wellin primes.

REFERENCES:

Crandall, R. and Pomerance, C. Prime Numbers: A Computational Perspective, 2nd ed. New York: Springer-Verlag, 2005.

Ibstedt, H. "Smarandache Concatenated Sequences." Ch. 5 in Computer Analysis of Number Sequences. Lupton, AZ: American Research Press, pp. 75-79, 1998.

Mudge, M. "Not Numerology but Numeralogy!" Personal Computer World, 279-280, 1997.

Sloane, N. J. A. Sequence A019518 in "The On-Line Encyclopedia of Integer Sequences."

Smith, S. "A Set of Conjectures on Smarandache Sequences." Bull. Pure Appl. Sci. 15E, 101-107, 1996.