A386672
Integers x such that there exist four integers 0
46, 94, 946, 1139, 1680, 3804, 4200, 29975, 31143, 48560, 53428, 63840, 74178, 121400, 125280, 135720, 279300, 483392, 679952
Offset: 1
Examples
(46, 19, 43, 47, 67) is such a quintuple because sigma(46)^5 = 72^5 = 46^5 + 19^5 + 43^5 + 47^5 + 67^5. Other examples: (94, 38, 86, 92, 134), (946, 418, 1012, 1034, 1474), (1139, 323, 731, 782, 799), (63840, 144480, 154560, 157920, 225120).
Links
- S. I. Dimitrov, Generalizations of amicable numbers, arXiv:2408.07387 [math.NT], 2024.
- James Waldby, A Table of Fifth Powers equal to a Fifth Power
Extensions
More terms from Michel Marcus, Jul 29 2025
Comments