squarefull number
A natural number is called squarefull (or powerful) if for every prime we have . In 1978 Erdős conjectured that we cannot have three consecutive squarefull natural numbers. If we assume the ABC Conjecture
, there are only finitely many such consecutive triples.
| Title | squarefull number |
| Canonical name | SquarefullNumber |
| Date of creation | 2013-03-22 11:45:26 |
| Last modified on | 2013-03-22 11:45:26 |
| Owner | KimJ (5) |
| Last modified by | KimJ (5) |
| Numerical id | 10 |
| Author | KimJ (5) |
| Entry type | Definition |
| Classification | msc 11A51 |
| Classification | msc 55-00 |
| Classification | msc 82-00 |
| Classification | msc 83-00 |
| Classification | msc 81-00 |
| Classification | msc 39A99 |
| Classification | msc 39B72 |
| Classification | msc 33E30 |
| Synonym | powerful number |
| Related topic | NFullNumber |