Intended for: February 12, 2014
Timetable
- First draft entered by Alonso del Arte on November 6, 2011 ✓
- Draft reviewed by Daniel Forgues on February 12, 2012 ✓
- Draft approved by Alonso del Arte on November 11, 2013 ✓
The line below marks the end of the <noinclude> ... </noinclude> section.
A002046: Larger number
of amicable pair
of numbers.
-
{ 284, 1210, 2924, 5564, 6368, 10856, 14595, ... }
Two integers
and
are
amicable numbers (amicable pair of numbers) if
and
.
These larger numbers of amicable pairs are of course deficient numbers, while the smallest numbers of amicable pairs are abundant numbers. One might say that the pair is mutually perfect (so to speak) since the abundancy of the smaller number cancels out the deficiency of the larger number, i.e.
-
σ (m) + σ (n) = 2 (m + n). |