On the Congruence σ(n) ≡ 1 (mod n)

被引：0

作者：

Min TANG Meng LISchool of Mathematics and Computer Science Anhui Normal University Anhui P R China ^{[241003
]}

机构：

来源：

数学研究及应用 | 2012年 / 32卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O156.1 [初等数论];

学科分类号：

摘要：

Let k ≥ 2 be an integer, and let σ(n) denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if σ(n) = kn + 1. In this paper, we give some necessary properties of them.

引用

页码：673 / 676

页数：4

共 50 条

[41] 关于同余式2~n≡4（mod n）
蔺冰
安徽师范大学学报(自然科学版), 2010, 33 (05) : 425 - 427+432
[42] On the sequence n! mod p
Grebennikov, Alexandr
Sagdeev, Arsenii
Semchankau, Aliaksei
Vasilevskii, Aliaksei
REVISTA MATEMATICA IBEROAMERICANA, 2024, 40 (02) : 637 - 648
[43] SUM OF SQUARES (MOD N)
MCFARLAND, RL
AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (01): : 61 - 61
[44] A numerical study on exceptional eigenvalues of certain congruence subgroups of SO(n, 1) and SU(n, 1)
Lauret, Emilio A.
RAMANUJAN JOURNAL, 2014, 35 (02): : 179 - 204
[45] A CONGRUENCE PROPERTY OF CK(N)
VAIDYA, AM
AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (01): : 38 - &
[46] A congruence for 2''L(n)
Minh, CA
FIBONACCI QUARTERLY, 1996, 34 (04): : 378 - 378
[47] CONGRUENCE PROPERTIES OF SIGMAR(N)
HARRIS, VC
RAO, MVS
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (03) : 925 - &
[48] Congruence properties of pk(n)
Du, Julia Q. D.
Liu, Edward Y. S.
Zhao, Jack C. D.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (06) : 1267 - 1290
[49] Primes of the form x2 + ny2 with conditions x ≡ 1 mod N, y ≡ 0 mod N
Cho, Bumkyu
JOURNAL OF NUMBER THEORY, 2010, 130 (04) : 852 - 861
[50] CONGRUENCE MODULO-N
BLOOM, DM
AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (03): : 304 - 305

← 1 2 3 4 5 →