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[1] A. Bayad and J. Chikhi.
M\"obius inversion formulae for Apostol-Bernoulli type polynomials and numbers.
Math. Comp.
Abstract, references, and article information
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[2] Kevin Broughan, Sergio Guzman Sanchez and Florian Luca.
Perfect repdigits.
Math. Comp.
Abstract, references, and article information
View Article: PDF
[3] Pascal Ochem and Michaël Rao.
Odd perfect numbers are greater than $10^{1500}$.
Math. Comp.
81
(2012)
1869-1877.
Abstract, references, and article information
View Article: PDF
[4] S. Adam Fletcher, Pace P. Nielsen and Pascal Ochem.
Sieve methods for odd perfect numbers.
Math. Comp.
81
(2012)
1753-1776.
Abstract, references, and article information
View Article: PDF
[5] Kevin G. Hare.
More on the total number of prime factors of an odd perfect number.
Math. Comp.
74
(2005)
1003-1008.
MR 2114661.
Abstract, references, and article information
View Article: PDF
[6] T. Goto and S. Shibata.
All numbers whose positive divisors have integral harmonic mean up to $\mathbf{300}$.
Math. Comp.
73
(2004)
475-491.
MR 2034133.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[7] D. E. Iannucci and R. M. Sorli.
On the total number of prime factors of an odd perfect number.
Math. Comp.
72
(2003)
2077-2084.
MR 1986824.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[8] Karsten Blankenagel, Walter Borho and Axel vom Stein.
New amicable four-cycles.
Math. Comp.
72
(2003)
2071-2076.
MR 1986823.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[9] Paul M. Jenkins.
Odd perfect numbers have a prime factor exceeding $10^{7}$.
Math. Comp.
72
(2003)
1549-1554.
MR 1972752.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[10] Mariano Garcia.
The first known type $(7,1)$ amicable pair.
Math. Comp.
72
(2003)
939-940.
MR 1954976.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[11] Patrick J. Costello.
New amicable pairs of type $(2,2)$ and type $(3,2)$.
Math. Comp.
72
(2003)
489-497.
MR 1933833.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[12] Stefan Battiato and Walter Borho.
Breeding amicable numbers in abundance. II.
Math. Comp.
70
(2001)
1329-1333.
MR 1826584.
Abstract, references, and article information
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This article is available free of charge
[13] Douglas E. Iannucci.
The third largest prime divisor of an odd perfect number exceeds one hundred.
Math. Comp.
69
(2000)
867-879.
MR 1651762.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[14] Douglas E. Iannucci.
The second largest prime divisor of an odd perfect number exceeds ten thousand.
Math. Comp.
68
(1999)
1749-1760.
MR 1651761.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[15] Manuel Benito and Juan L. Varona.
Advances in aliquot sequences.
Math. Comp.
68
(1999)
389-393.
MR 1489967.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[16] Peter Hagis Jr. and Graeme L. Cohen.
Every odd perfect number has a prime factor which exceeds $10^6$.
Math. Comp.
67
(1998)
1323-1330.
MR 1484897.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[17] Graeme L. Cohen and Herman J. J. te Riele.
On $\phi$-amicable pairs .
Math. Comp.
67
(1998)
399-411.
MR 1458219.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[18] G. L. Cohen.
Numbers whose positive divisors have small integral harmonic mean .
Math. Comp.
66
(1997)
883-891.
MR 1397443.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[19] Graeme L. Cohen, Stephen F. Gretton and Peter Hagis.
Multiamicable numbers
.
Math. Comp.
64
(1995)
1743-1753.
MR 1308449.
Abstract, references, and article information
View Article: PDF
[20] Aaron Schlafly and Stan Wagon.
Carmichael's conjecture on the Euler function is
valid below $10\sp {10,000,000}$
.
Math. Comp.
63
(1994)
415-419.
MR 1226815.
Abstract, references, and article information
View Article: PDF
[21] David Moews and Paul C. Moews.
A search for aliquot cycles and amicable pairs
.
Math. Comp.
61
(1993)
935-938.
MR 1185249.
Abstract, references, and article information
View Article: PDF
[22] R. P. Brent, G. L. Cohen and H. J. J. te Riele.
Improved techniques for lower bounds for odd
perfect numbers
.
Math. Comp.
57
(1991)
857-868.
MR 1094940.
Abstract, references, and article information
View Article: PDF
[23] Achim Flammenkamp.
New sociable numbers
.
Math. Comp.
56
(1991)
871-873.
MR 1052094.
Abstract, references, and article information
View Article: PDF
[24] Patrick Costello.
Amicable pairs of the form $(i,1)$
.
Math. Comp.
56
(1991)
859-865.
MR 1068822.
Abstract, references, and article information
View Article: PDF
[25] Graeme L. Cohen.
On an integer's infinitary divisors
.
Math. Comp.
54
(1990)
395-411.
MR 993927.
Abstract, references, and article information
View Article: PDF
[26] Richard P. Brent and Graeme L. Cohen.
A new lower bound for odd perfect numbers
.
Math. Comp.
53
(1989)
431--437, S7--S24.
MR 968150.
Abstract, references, and article information
View Article: PDF
[27] N. Costa Pereira.
Corrigendum: ``Estimates for the Chebyshev function
$\psi(x)-\theta(x)$'' [Math.\ Comp.\ {\bf 44} (1985), no.\
169, 211--221; MR0771046 (86k:11005)]
.
Math. Comp.
48
(1987)
447.
MR 866126.
Abstract, references, and article information
View Article: PDF
[28] H. J. J. te Riele.
Computation of all the amicable pairs below $10\sp
{10}$
.
Math. Comp.
47
(1986)
361--368, S9--S40.
MR 842142.
Abstract, references, and article information
View Article: PDF
[29] W. Borho and H. Hoffmann.
Breeding amicable numbers in abundance
.
Math. Comp.
46
(1986)
281-293.
MR 815849.
Abstract, references, and article information
View Article: PDF
[30] Masao Kishore.
Odd triperfect numbers are divisible by eleven
distinct prime factors
.
Math. Comp.
44
(1985)
261-263.
MR 771048.
Abstract, references, and article information
View Article: PDF
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