# examples of Smarandache-Wellin primes in a few selected bases

In base 10, there are eight known Smarandache-Wellin primes. The first three are 2, 23 and 2357; these are listed in A069151 of Sloane’s OEIS. The fourth is approximately $2.357111317192329313741434753\times {10}^{355}$, and the other four are much larger.

The first three binary Smarandache-Wellin primes are 2, 11 and 751, while in hexadecimal the first two are 2 and 144763. There are slightly more in octal: 2, 19, 157 and 440152287140627310757403395684438501207352921. By now it should be quite obvious that 2 is a Smarandache-Wellin prime regardless of the base.

The first few Smarandache-Wellin primes in factorial base are 2, …

This concept^{} cannot be extended to Roman numerals, as the concatenations^{} yield invalid combinations^{} like IIIIIV and IIIIIVVII.

Title | examples of Smarandache-Wellin primes in a few selected bases |
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Canonical name | ExamplesOfSmarandacheWellinPrimesInAFewSelectedBases |

Date of creation | 2013-03-22 15:54:43 |

Last modified on | 2013-03-22 15:54:43 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 6 |

Author | PrimeFan (13766) |

Entry type | Example |

Classification | msc 11A63 |