Treffer: A NOTE ON INTEGERS OF THE FORM 2n+cp: A note on integers of the form \(2^n+cp\).
Title:
A NOTE ON INTEGERS OF THE FORM 2n+cp: A note on integers of the form \(2^n+cp\).
Authors:
Source:
Proceedings of the Edinburgh Mathematical Society. 45:155-160
Publisher Information:
Cambridge University Press (CUP), 2002.
Publication Year:
2002
Subject Terms:
Document Type:
Fachzeitschrift
Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1464-3839
0013-0915
0013-0915
DOI:
10.1017/s0013091500000924
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B66E89FBB6C0DA52E33E7438EBF106F2/S0013091500000924a.pdf/div-class-title-a-note-on-integers-of-the-form-2-span-class-sup-span-class-italic-n-span-span-span-class-italic-cp-span-div.pdf
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/note-on-integers-of-the-form-2ncp/B66E89FBB6C0DA52E33E7438EBF106F2
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/note-on-integers-of-the-form-2ncp/B66E89FBB6C0DA52E33E7438EBF106F2
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....1486b6fa4252770337de181e66cc6d8e
Database:
OpenAIRE
Weitere Informationen
In 1950 Erdös proved that if $x\equiv2\,036\,812\ (\mo5\,592\,405)$ and $x\equiv3\ (\mo62)$, then $x$ is not of the form $2^n+p$, where $n$ is a non-negative integer and $p$ is a prime. In this note we present a theorem on integers of the form $2^n+cp$, in particular we completely determine all those integers $c$ relatively prime to $5\,592\,405$ such that the residue class $2\,036\,812(\mo5\,592\,405)$ contains integers of the form $2^n+cp$.AMS 2000 Mathematics subject classification: Primary 11P32. Secondary 11A07; 11B25; 11B75