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 nth prime as the least significant digit(s). This is the Smarandache-Wellin numberMathworldPlanetmath Sn.

For example, in base 10, S8 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 NumbersMathworldPlanetmath: 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
Canonical name SmarandacheWellinNumber
Date of creation 2013-03-22 15:55:01
Last modified on 2013-03-22 15:55:01
Owner CompositeFan (12809)
Last modified by CompositeFan (12809)
Numerical id 9
Author CompositeFan (12809)
Entry type Definition
Classification msc 11A63
Related topic FlorentinSmarandache