How do you find amicable pairs?
Two numbers are amicable if the first is equal to the sum of divisors of the second, and if the second number is equal to the sum of divisors of the first.
How many pairs of amicable numbers are there?
The results are given in the following table; the computations also produce the perfect numbers <106. Altogether there are 42 pairs of amicable numbers below 106.
What is the largest pair of amicable numbers?
Page 1
- MATHEMATICS OF COMPUTATION, VOLUME 28, NUMBER 125, JANUARY, 1974.
- Four Large Amicable Pairs.
- By H. J. J. te Riele.
- Abstract.
- The pair of 25-digit numbers.
- has been the largest known amicable pair since 1946 ([8], [10]).
- new amicable pairs with 32-, 40-, 81-, and 152-digit numbers, as a result of systematic.
How to check for an amicable pair of numbers?
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive factor of that number other than the number itself. Input : x = 220, y = 284 Output : Yes Proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110.
How many amicable pairs are there in the world?
The list contains all pairs with the smallest member below 1020. Total known amicable pairs: A distributed BOINC project to find all amicable pairs with smaller member below 1021has started. Everyone can join it: https://sech.me/boinc/Amicable/
How many amicable pairs are there in Gaussian integers?
Download only non-trivial pairs(211 MB) – all known pairs up to 30 digits, all known pairs except types (3,2) – (10,2) longer than 30 digits: 4,455,660 pairs in total. Download gaussian amicable pairs(128 MB) – amicable pairs from this database which remain amicable in Gaussian integers: 738,180 pairs in total.