Erdős is still publishing

Michael Lugo Uncategorized December 16, 2015 1 Minute

Paul Erdős is still publishing. His newest paper, with Ron Graham and Steve Butler,shows that any natural number can be written as a sum $\sum_1^\ell 1/a_i$ with $a_1 < \ldots < a_\ell$ , where each denominator is the product of three distinct primes. A footnote, on the obvious generalization to expressing rational numbers in such a form, reads:
“One of the authors believes that all rational numbers can be expressed in this form, another author has doubts that every rational number can be expressed in this form, and the third author, already having looked in The BOOK at the answer, remains silent on this issue.” For more of the context on this paper, see Siobhan Roberts writing for the Simons Foundation.

“The BOOK”, of course, refers to Erdős’ frequent claim that God (who he did not believe in) had a book in heaven that had the best proof of every theorem. A sample of this book can be found in Proofs from THE BOOK by Martin Aigner and Günter M. Ziegler.

Published by Michael Lugo

View all posts by Michael Lugo

Published December 16, 2015

3 thoughts on “Erdős is still publishing”

statsinthewild says:

December 17, 2015 at 12:42 pm

Reblogged this on Stats in the Wild and commented:
My Erdos number is 4.

Reply
1. anthonyquas says:
  
  December 18, 2015 at 3:34 pm
  
  This shows it’s not too late to have an Erdös number of 1.
  
  Reply
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