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 , 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 |
|---|---|
| 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 |