A new approach to lower bounds for odd perfect numbers
106. R. P. Brent, G. L. Cohen and H. J. J. te Riele,
A new approach to lower bounds for odd perfect numbers,
Report TR-CS-88-08, CSL, ANU, August 1988, 71 pp.
Report, pages 1-4: pdf (197K).
Tables omitted as superseded by those in [116],
Abstract
It is not known if any odd perfect numbers exist.
Here we
extend the computations in an earlier paper
[100]
to show that N > 10200.
Comments
There were two versions of this report.
The first (given above) went to 10200,
and the second went to 10240.
Using new techniques described in
[116],
the lower bound was soon improved
to 10300.
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