Home
Search Site
Largest
Finding
How Many?
Mersenne
Glossary
Prime Curios!
email list
FAQ
Prime Lists
Titans
Submit primes

This is the Prime Pages'
interface to our BibTeX database. Rather than being an exhaustive database,
it just lists the references we cite on these pages. Please let me know of any errors you notice.References: [ Home  Author index  Key index  Search ]
 Sun2000
 Z. Sun, "On integers not of the form ± p^{a} ± q^{b}," Proc. Amer. Math. Soc., 128:4 (2000) 9971002. MR1695111
Abstract:
In 1975 F. Cohen and J.L. Selfridge found a 94digit positive integer which cannot be written as the sum or difference of two prime powers. Following their basic construction and introducing a new method to avoid a bunch of extra congruences, we are able to prove that if x≡ 47867742232066880047611079 (mod 66483034025018711639862527490) , then x is not of the form ± p^{a}± q^{b} where p, q are primes and a, b are nonnegative integers.
