Wednesday, June 09, 2021

Big time

Nine months ago, I showcased my then-largest Leyland prime find. Things have changed a bit. Here are, as of today, the top ten known Leyland primes:

386434  (328574,15)      Sergey Batalov       May 2014
300694  (110610,523)     Hans Havermann       Jun 2021
300468   (63722,51915)   Hans Havermann       Jun 2021
300337  (314738,9)       Anatoly Selevich     Feb 2011
300035   (67594,27465)   Hans Havermann       Jun 2021
300000   (70599,17756)   Hans Havermann       Jun 2021
265999  (255426,11)      Sergey Batalov       May 2014
223463  (234178,9)       Anatoly Selevich     Jul 2011
172940  (104608,45)      Norbert Schneider    Jun 2021
149984   (45728,1905)    Hans Havermann       Oct 2020

The first column gives the number of decimal digits. The Leyland number of an (x,y) pair is x^y + y^x. Half of the entries have been found in the last seven days!

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