# Smarandache-Wellin number

Given a base $b$, concatenate the base $b$ representations of the first $n$ primes into a single integer, placing the first prime as the most significant digit(s) and the $n$th prime as the least significant digit(s). This is the $S_{n}$.

For example, in base 10, $S_{8}$ is 235711131719, the concatenation of the strings “2”, “3”, “5”, “7”, “11”, “13”, “17” and “19” reinterpreted as a single integer.

Placing a decimal point immediately preceding a base 10 Smarandache-Wellin number turns it into an approximation of the Copeland-Erdos constant.

References

R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer, NY, 2001: 72

H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997: 170 - 183

Title Smarandache-Wellin number SmarandacheWellinNumber 2013-03-22 15:55:01 2013-03-22 15:55:01 CompositeFan (12809) CompositeFan (12809) 9 CompositeFan (12809) Definition msc 11A63 FlorentinSmarandache