DIV2 - Divisors 2

Let N be a positive integer and d(N) be the number of positive divisors of N including 1 and N. Your task is to compute all N in [1,10^6] for which d(N)>3 and if M divides N then d(M) divides d(N) too.

Input

None.

Output

To make the problem less output related write out only every 108-th of them, one per line.

Example

Output:
267
511
753
...
999579
999781
999977

Added by:czylabsonasa
Date:2005-05-24
Time limit:1s
Source limit:3333B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:Folklore

hide comments
2011-09-08 20:24:25 ~!(*(@*!@^&
M divides N <=> M mod N = 0 or N mod M = 0?

>>> please use this terminus: http://mathworld.wolfram.com/Divides.html

Last edit: 2011-09-21 21:29:47
2011-09-08 20:24:25 Dmitry Boltrushko
What is M? If for any M that divides N or for some M that divides M? Can M = 1?

>>> M is a number. For each divisor M of N must hold d(M)|d(N) also.

Last edit: 2011-09-21 21:29:20
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