If d(x) denotes the no. positive divisors of x and d(d(d(x))), d(d(x)), d(x) and x can be arranged in 12 different ways. Find possible values of n(x), where n(x) is no. of prime factors of x. Also find possible values of x less than 100.
(In reply to
re: computer exploration--lacking proof--spoilers by Praneeth)
For an alternative see equation (2) in http://mathworld.wolfram.com/PrimeFactor.html
and Sloane's A001222
http://www.research.att.com/~njas/sequences/A001222
Edited on July 31, 2007, 11:04 am
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Posted by Charlie
on 2007-07-31 10:35:25 |