Calculating the sum of a *lot* of primes
Geoff Canyon
gcanyon at gmail.com
Thu Nov 12 09:01:39 EST 2015
...and I just accidentally clicked the button a second time and overwrote
the file, so I have to let it run a few hours again to generate the primes
again. :-/
On Thu, Nov 12, 2015 at 1:26 AM, Geoff Canyon <gcanyon at gmail.com> wrote:
> I re-wrote the algorithm a bit to tweak for speed, then ran it
> successfully for primes up to 3 billion (a couple hours), and got the wrong
> answer because my big addition function was broken :-/
>
> So I broke the problem in two: first generate the list of primes, then do
> the addition.
>
> For the primes I generated the list up to 100,000, stored that, and then
> used a simpler (by one command) routine to generate the primes to 10
> billion in a few hours. Here's that:
>
> on mouseUp
> put the long seconds into ST
> repeat for each line i in line 2 to -1 of the primeList of this stack
> put 2*i & comma after P[i^2]
> end repeat
> put 2 into pList
> put fld "path" into fPath
> open file fPath for write
> put 0 into S
> put fld 1 into endPoint
> if endPoint mod 2 = 0 then subtract 1 from endPoint
> repeat with i = 3 to endPoint step 2
> if P[i] is empty then
> put cr & i after pList
> else
> repeat for each item x in P[i]
> put x & comma after P[i + x]
> end repeat
> end if
> if the seconds > S then
> put the seconds + 5 into S
> put i into fld 2
> write pList to file fPath
> put empty into pList
> unlock screen
> lock screen
> end if
> delete variable P[i]
> end repeat
> put i into fld 2
> write pList to file fPath
> close file fPath
> put the long seconds - ST
> end mouseUp
>
> That's ~5gb of primes...
>
> Then I re-wrote the addition function to use a simpler, slower method,
> tested it, and let it go. An hour or so later, and I had my answer
> (validated against the site with the challenge). If anyone sees the problem
> with bAdd, I'm all ears. I didn't look too closely, since I just wanted to
> get the code running to solve the problem. It works for all the test cases
> I tried, but it seems to fail on the boundary between 14 and 15 digit
> numbers.
>
>
> on mouseUp
> put fld "path" into fPath
> open file fPath for read
> put 0 into T
> put 0 into S
> repeat with C = 1 to 999999999999
> read from file fPath for 1 line
> if it > fld 1 then exit repeat
> put bAdd2(T,char 1 to -2 of it) into T
> if the seconds > S then
> put the seconds + 1 into S
> put T && it && C into fld 2
> unlock screen
> lock screen
> end if
> end repeat
> put T && it && C - 1 into fld 2
> close file fPath
> end mouseUp
>
> function bAdd x,y
> put 0 into c
> repeat with i = 14 to max(length(x),length(y)) step 14
> add char -i to 13 - i of x + char -i to 13 - i of y to c
> put char -14 to -1 of c before r
> delete char -14 to -1 of c
> end repeat
> return c & r
> end bAdd
>
> function bAdd2 x,y
> put 0 into c
> repeat with i = 1 to max(length(x),length(y))
> put char -i of x + char -i of y + c into c
> put char -1 of c before r
> delete char -1 of c
> end repeat
> return c & r
> end bAdd2
>
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