Luke Pebody [SEP] educated at
Luke Pebody
Luke Thomas Pebody (born 1977) is a mathematician who solved the necklace problem. Educated at Rugby School, and competing three times in the International Mathematical Olympiad, Luke Pebody was admitted to Cambridge University at the age of 14 to read mathematics. He went up when he was 16, making him one of the youngest undergraduates in modern times.
Having graduated with a Bachelor of Arts degree from Trinity College, Cambridge, he proceeded to a doctoral degree at the University of Memphis, where, working with
The first few self primes are
In October 2006 Luke Pebody demonstrated that the largest known Mersenne prime that is at the same time a self number is 2−1. This is then the largest known self prime .
Selfness tests.
Selfness tests Reduction tests.
Luke Pebody showed (Oct 2006) that a link can be made between the self property of a large number "n" and a low-order portion of that number, adjusted for digit sums:
Selfness tests Effective test.
Kaprekar demonstrated that: