MERSENNE PRIME FACTOR AND SUM OF BINOMIAL COEFFICIENTS

Gye Hwan Jo; Daeyeoul Kim

doi:10.14317/jami.2022.061

MERSENNE PRIME FACTOR AND SUM OF BINOMIAL COEFFICIENTS

Gye Hwan Jo
, Daeyeoul Kim^*

^*Corresponding author for this work

Department of Mathematics

Jeonbuk National University

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

Let M_p:= 2^p − 1 be a Mersenne prime. In this article, we find integers a, b, c, d, e and n satisfying [formula presented] given a Mersenne prime number M_p. In order to find a special case that satisfies the above results, we reprove an well-known relation of a certain sum of binomial coefficients and a divisor function.

Original language	English
Pages (from-to)	61-68
Number of pages	8
Journal	Journal of Applied Mathematics and Informatics
Volume	40
Issue number	1-2
DOIs	https://doi.org/10.14317/jami.2022.061
State	Published - 2022

Keywords

binomial coefficient
Mersenne prime

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics

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10.14317/jami.2022.061

Cite this

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title = "MERSENNE PRIME FACTOR AND SUM OF BINOMIAL COEFFICIENTS",

abstract = "Let Mp:= 2p − 1 be a Mersenne prime. In this article, we find integers a, b, c, d, e and n satisfying [formula presented] given a Mersenne prime number Mp. In order to find a special case that satisfies the above results, we reprove an well-known relation of a certain sum of binomial coefficients and a divisor function.",

keywords = "binomial coefficient, Mersenne prime",

author = "Jo, \{Gye Hwan\} and Daeyeoul Kim",

note = "Publisher Copyright: {\textcopyright} 2022 KSCAM.",

year = "2022",

doi = "10.14317/jami.2022.061",

language = "English",

volume = "40",

pages = "61--68",

journal = "Journal of Applied Mathematics and Informatics",

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T1 - MERSENNE PRIME FACTOR AND SUM OF BINOMIAL COEFFICIENTS

AU - Jo, Gye Hwan

AU - Kim, Daeyeoul

PY - 2022

Y1 - 2022

N2 - Let Mp:= 2p − 1 be a Mersenne prime. In this article, we find integers a, b, c, d, e and n satisfying [formula presented] given a Mersenne prime number Mp. In order to find a special case that satisfies the above results, we reprove an well-known relation of a certain sum of binomial coefficients and a divisor function.

AB - Let Mp:= 2p − 1 be a Mersenne prime. In this article, we find integers a, b, c, d, e and n satisfying [formula presented] given a Mersenne prime number Mp. In order to find a special case that satisfies the above results, we reprove an well-known relation of a certain sum of binomial coefficients and a divisor function.

KW - binomial coefficient

KW - Mersenne prime

UR - https://www.scopus.com/pages/publications/85127272054

U2 - 10.14317/jami.2022.061

DO - 10.14317/jami.2022.061

M3 - Journal article

AN - SCOPUS:85127272054

SN - 2734-1194

VL - 40

SP - 61

EP - 68

JO - Journal of Applied Mathematics and Informatics

JF - Journal of Applied Mathematics and Informatics

IS - 1-2

ER -

MERSENNE PRIME FACTOR AND SUM OF BINOMIAL COEFFICIENTS

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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