On integers not of the form +/- p(a) +/- q(b)

Authors
Sun, ZW
Citation
Zw. Sun, On integers not of the form +/- p(a) +/- q(b), P AM MATH S, 128(4), 2000, pp. 997-1002
Citations number
16
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
4
Year of publication
2000
Pages
997 - 1002
Database
ISI
SICI code
0002-9939(2000)128:4<997:OINOTF>2.0.ZU;2-H
Abstract
In 1975 F. Cohen and J.L. Selfridge found a 94-digit 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 e xtra 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 ar e nonnegative integers.