Problem 463

jpaulson · Post by **jpaulson** » Sun Mar 16, 2014 1:45 am

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).

mpiotte · Post by **mpiotte** » Sun Mar 16, 2014 1:50 am

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.

mirzauzairbaig · Post by **mirzauzairbaig** » Sat Mar 22, 2014 7:10 am

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 · Post by **The_Ash** » Sat Mar 22, 2014 1:24 pm

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...

mpiotte · Post by **mpiotte** » Sat Mar 22, 2014 2:21 pm

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.

h_anand · Post by **h_anand** » Wed Aug 12, 2015 9:33 pm

What about 426781526 (for S(2⁶⁰)?)

Circling · Post by **Circling** » Mon Aug 09, 2021 10:25 am

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

That one appears to be correct.

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