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Show that II (1-) < II p° perfect = n = p*||n p*||n Hint: The following formula should prove useful: o,(n) = II (ple+1)r. p°||n 구) p" – 1 1 Use part (a) to show that an odd perfect number, if one exists, must have at least three distinct prime factors.

Show that II (1-) < II p° perfect = n = p*||n p*||n Hint: The following formula should prove useful: o,(n) = II (ple+1)r. p°||n 구) p" – 1 1 Use part (a) to show that an odd perfect number, if one exists, must have at least three distinct prime factors.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show that - II IP° perfect pe||n II (1-) < n = Hint: The follouwing formula should prove useful: o,(n) = II (plet1)r – 1 p* – 1 구) p" ||n 1 Use part (a) to show that an odd perfect number, if one exists, must have at least three distinct prime factors.
Transcribed Image Text:Show that - II IP° perfect pe||n II (1-) < n = Hint: The follouwing formula should prove useful: o,(n) = II (plet1)r – 1 p* – 1 구) p" ||n 1 Use part (a) to show that an odd perfect number, if one exists, must have at least three distinct prime factors.
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