# 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 Smarandache-Wellin number^{} ${S}_{n}$.

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 |
---|---|

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 |