Amicable numbers boinc update#

On the other hand the sum of the proper divisors (or aliquot parts) of 284 is 1 + 2 + 4 + 71 + 142 = 220. %H Eric Weisstein's World of Mathematics, Amicable Pair %H Gérard Villemin's Almanach of Numbers, Nombres amiables et sociables %H Juan Luis Varona, On the Solution of the Equation n = a*k + b*p_k by Means of an Iterative Method, Journal of Integer Sequences, Vol. te Riele, A New Method for Finding Amicable Pairs, Proceedings of Symposia in Applied Mathematics, Volume 48, 1994.

te Riele, Computation of all the amicable pairs below 10^10, Math. te Riele, On generating new amicable pairs from given amicable pairs, Math. %H Ivars Peterson, MathTrek, Amicable Pairs, Divisors and a New Record

%H Ivars Peterson, MathTrek, Appealing Numbers %H Jan Munch Pedersen, Tables of Aliquot Cycles %H Jan Munch Pedersen, Known Amicable Pairs %H Number Theory List, NMBRTHRY Archives-August 1993 Moews, A List Of Amicable Pairs Below 2.01*10^11 %H David Moews, A List Of The First 5001 Amicable Pairs %H Hisanori Mishima, Amicable Numbers:first 236 pairs(smaller member te Riele, Amicable pairs, a survey, Report MAS-R0307, Centrum Wiskunde & Informatica. %H Mariano Garcia, A Million New Amicable Pairs, J. Escott, Amicable numbers, Scripta Mathematica, 12 (1946), 61-72 D'Abramo, On Amicable Numbers With Different Parity, arXiv:math/0501402, 2005-2007. %H Anonymous, Amicable and Social Numbers %H Titu Andreescu, Number Theory Trivia: Amicable Numbers %C This is A002025 and A002046 interleaved hence the amicable pairs (x Number Theory Trivia: Amicable Numbers %C A pair of numbers x and y is called amicable if the sum of the proper divisors (or aliquot parts) of either one is equal to the other. However there is always an option to try.įor more on BOINC, Gridcoin - as a use case for cryptocurrences, and a Citizen Science = check read.(Greetings from The On-Line Encyclopedia of Integer Sequences!) Some tasks may take more than a week to compute with a CPU.

CPU laptops will need much more time to compute. From my experience, GPU is the best to be utilized for this project. The only negative part is that the project is not running on the mobile phones I have. In addition to the Amicable pairs discovery, there is also a certificate that is not important but looks like this:Īnd even more than that, Amicable pair project is included into the Gridcoin research and can earn some GRC coins. This is a very exiting discovery because math is the language of any scientific discipline and numbers are truly amazing on its own. This example pair was also confirmed by someone from the Gridcoin pool.Ĭomplete list of pair discovered on my laptop is counting here: Every discovery has to be confirmed by 2 independent computations to ensure the correctness of the result. How I can see numbers discovered on my laptop? Total count of the pairs is available on the project account page as follows:Īnd by clicking a hyperlink, I can see pairs discovered on my machine. GPU is a very powerful and currently used for both and Amicable pairs. My rank is now only 1545 but this is just a start.

Amicable numbers boinc update#

There is more information on Amicable pairs in my November update = 222 new Amicable pairs are discovered by my laptop and added to the database, available here: I started to compute for this project for about a month ago and I was hoping to see if I have discovered any new Amicable Pair.

A positive surprise was waiting for me, when I was checking my account on Amicable Numbers project with BOINC.