Erdős–Nicolas number
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 n is Erdős–Nicolas number when there exists another number m such that
| Named after | Paul Erdős, Jean-Louis Nicolas |
|---|---|
| Publication year | 1975 |
| Author of publication | Erdős, P., Nicolas, J. L. |
| Subsequence of | Abundant numbers |
| First terms | 24, 2016, 8190 |
| Largest known term | 1371332329173024768 |
| OEIS index |
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The first ten Erdős–Nicolas numbers are
They are named after Paul Erdős and Jean-Louis Nicolas, who wrote about them in 1975.[2]
See also
- Descartes number, another type of almost-perfect number
References
- De Koninck, Jean-Marie (2009). Those Fascinating Numbers. p. 141. ISBN 978-0-8218-4807-4.
- Erdős, P.; Nicolas, J.L. (1975), "Répartition des nombres superabondants" (PDF), Bull. Soc. Math. France (103): 65–90, Zbl 0306.10025
Divisibility-based sets of integers | ||
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| Overview |  | |
| Factorization forms | ||
| Constrained divisor sums | ||
| With many divisors | ||
| Aliquot sequence-related | ||
| Base-dependent | ||
| Other sets | ||
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