Errata

Errata for :

R. D. Carmichael , T. E. Mason
Note on Multiply Perfect Numbers, Including a Table of
 204 New Ones and the 47 Others Previously Published
Proc. of the Indiana Academy of Science , 1911 , pp257-270

Errata for the table in this article can be found on pp. 398-399 of :
R. D. Carmichael
Review of :
History of the Theory of Numbers , Volume I , Divisibility and Primality
American Mathematical Monthly , 1919 Nov , V26#9pp396-403
http://www.jstor.org/stable/2971917


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Errata for :
L. Alaoglu , Erd"os P'al = Paul Erdos
On Highly Composite and Similar Numbers
Transactions of the American Math. Society , 1944 Nov , V56#3pp448-469
http://links.jstor.org/sici?sici=0002.9947(194411)56:3<448:OHCASN>2.0.CO;2.S
http://www.jstor.org/stable/1990319
http://www.renyi.hu/~p_erdos/1944-03.pdf

In the table of
SUPERABUNDANT NUMBERS LESS THAN 10 to the 18th
on p. 468 :

in line 27
for     4.368           read    4.363
in line 38 = top of the rightmore segment with abundancy 4.855
for     3 to the 2      read    3 to the 3

Note that correct data for  3 to the 2  already appears in line 35 .
Note that the abundancies in the table are truncated , not rounded .

Not to be so obscure about it , the superabundant numbers concerned and
their abundancies are :
  332640 = 2^5 * 3^3 * 5   * 7 * 11         4.36363636
 7207200 = 2^5 * 3^2 * 5^2 * 7 * 11 * 13    4.73454545
21621600 = 2^5 * 3^3 * 5^2 * 7 * 11 * 13    4.85594406

All other values in this table have been verified .

Other comments and errata for this article can be found on
pp. 67-68 of
Erd"os P'al = Paul Erdos , Jean-Louis Nicolas
R'epartition des Nombres Superabondants = Repartition des Nombres Superabondants
Bulletin de la Soci'et'e Math'ematique de France , 1975 , V103#1pp65-90
Bulletin de la Societe Mathematique de France , 1975 , V103#1pp65-90
http://www.renyi.hu/~p_erdos/1975-37.pdf


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Errata for :
Erd"os P'al = Paul Erdos , Jean-Louis Nicolas
R'epartition des Nombres Superabondants = Repartition des Nombres Superabondants
Bulletin de la Soci'et'e Math'ematique de France , 1975 , V103#1pp65-90
Bulletin de la Societe Mathematique de France , 1975 , V103#1pp65-90
http://www.renyi.hu/~p_erdos/1975-37.pdf

On p. 89 :
for  42336(85/28); 45864(85/28)   read  42336(95/28); 45864(95/28)


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Erratum :
The name of Knuth's co-author is Trabb Pardo , not Trapp-Pardo ;
confirmed by reference to the article and
to his local telephone directory .

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2010 Mathematics Subject Classification : Primary 11A25 ; Secondary 11A05 , 11A41 , 11A51 , 11N05 , 11N25 , 11Y05 , 11Y11 , 11Y55 .

Walter Nissen
posted 2009-09-29
extended again 2011-04-27