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Problem 463

Posted: Sun Mar 16, 2014 1:45 am
by jpaulson
Just reporting a typo: in the problem, S(n) is defined as sum_{i=1}^n f(n). I believe it should be sum_{i=1}^n f(i).

Re: Problem 463

Posted: Sun Mar 16, 2014 1:50 am
by mpiotte
jpaulson wrote:Just reporting a typo: in the problem, S(n) is defined as sum_{i=1}^n f(n). I believe it should be sum_{i=1}^n f(i).
Fixed. Thank you.

Re: Problem 463

Posted: Sat Mar 22, 2014 7:10 am
by mirzauzairbaig
Please confirm if the following results are correct ?

S(2^10) = 349526
S(2^20) = 503875926
S(2^30) = 202282326
S(2^40) = 391568726
S(2^60) = 426789653

Re: Problem 463

Posted: Sat Mar 22, 2014 1:24 pm
by The_Ash
Hi i'm getting exactly the same result as you except for 2^60, in that case the my last 9 digits are:

517409622

So yeah it would be nice if somebody could confirm this values...

Re: Problem 463

Posted: Sat Mar 22, 2014 2:21 pm
by mpiotte
mirzauzairbaig wrote:Please confirm if the following results are correct ?

S(2^10) = 349526
S(2^20) = 503875926
S(2^30) = 202282326
S(2^40) = 391568726
S(2^60) = 426789653
The_Ash wrote:Hi i'm getting exactly the same result as you except for 2^60, in that case the my last 9 digits are:

517409622

So yeah it would be nice if somebody could confirm this values...
Both S(260) = ...426789653 and S(260) = ...517409622 are incorrect.

Re: Problem 463

Posted: Wed Aug 12, 2015 9:33 pm
by h_anand
What about 426781526 (for S(260)?)

Re: Problem 463

Posted: Mon Aug 09, 2021 10:25 am
by Circling
h_anand wrote: Wed Aug 12, 2015 9:33 pm What about 426781526 (for S(260)?)
That one appears to be correct.