| Named After: | Paul Erdős, Jean-Louis Nicolas |
| Publication Year: | 1975 |
| Author: | Erdős, P., Nicolas, J. L. |
| First Terms: | 24, 2016, 8190 |
| Largest Known Term: | 3304572752464376776401640967110656 |
| Oeis: | A194472 |
| Oeis Name: | Erdős-Nicolas numbers |
In number theory, an Erdős–Nicolas number is a number that is not perfect, but that equals one of the partial sums of its divisors.That is, a number is an Erdős–Nicolas number when there exists another number such that
\sumd\midd=n.
The first ten Erdős–Nicolas numbers are
24, 2016, 8190, 42336, 45864, 392448, 714240, 1571328, 61900800 and 91963648. They are named after Paul Erdős and Jean-Louis Nicolas, who wrote about them in 1975.