Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Sums of distinct primes from congruence classes modulo $12$
HTML articles powered by AMS MathViewer

by Robert E. Dressler, Andrzej Mąkowski and Thomas Parker PDF
Math. Comp. 28 (1974), 651-652 Request permission

Abstract:

It is shown that every integer greater than 1969, 1349, 1387, 1475 is a sum of distinct primes of the form $12k + 1,12k + 5,12k + 7,12k + 11$, respectively. Furthermore, these lower bounds are best possible.
References
  • Robert Breusch, Zur Verallgemeinerung des Bertrandschen Postulates, daßzwischen $x$ und 2 $x$ stets Primzahlen liegen, Math. Z. 34 (1932), no. 1, 505–526 (German). MR 1545270, DOI 10.1007/BF01180606
  • A. Mąkowski, Partitions into unequal primes, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 8 (1960), 125–126 (English, with Russian summary). MR 0117209
  • Karl Molsen, Zur Verallgemeinerung des Bertrandschen Postulates, Deutsche Math. 6 (1941), 248–256 (German). MR 17770
  • Hans-Egon Richert, Über Zerlegungen in paarweise verschiedene Zahlen, Norsk Mat. Tidsskr. 31 (1949), 120–122 (German). MR 34807
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 10J15
  • Retrieve articles in all journals with MSC: 10J15
Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 651-652
  • MSC: Primary 10J15
  • DOI: https://doi.org/10.1090/S0025-5718-1974-0340206-6
  • MathSciNet review: 0340206