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A070308 "Canada perfect numbers": n such that the sum of digits^2 of n equals the sum of d|n, 1<d<n. +0
1
125, 581, 8549, 16999 (list; graph; listen)
OFFSET

2,1

COMMENT

There is no such number > 10^6. Those numbers were defined by mathematicians from Manitoba University for the 125-th anniversary of Canada.

REFERENCES

Jean-Marie Deconinck and Armel Mercier, Introduction a la theorie des nombres, Collection Universitaire de Mathematiques, Modulo, p. 85.

J.-M. De Koninck and A. Mercier, 1001 Problemes en Theorie Classique Des Nombres, Problem 700 pp. 91; 299, Ellipses Paris 2004.

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 125, p. 43, Ellipses, Paris 2008.

CROSSREFS

Sequence in context: A061450 A067974 A034290 this_sequence A045170 A060093 A016815

Adjacent sequences: A070305 A070306 A070307 this_sequence A070309 A070310 A070311

KEYWORD

easy,fini,nonn,full

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 12 2002

EXTENSIONS

There are no further terms - David Wasserman (wasserma(AT)spawar.navy.mil), May 13 2003

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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