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# Problem 1763. Primes for Large N: 2^30, System Memory Limit

Solution 2975410

Submitted on 21 Sep 2020 at 15:02 by Rafael S.T. Vieira
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### Test Suite

Test Status Code Input and Output
1   Pass
tic assert(isequal(primes_faster_large(1),primes(1))) assert(isequal(primes_faster_large(2),primes(2))) for i=1:10 n=randi(2000,1); assert(isequal(primes_faster_large(n),primes(n))) end toc

Elapsed time is 0.021769 seconds.

2   Pass
tic ta=clock; p = primes_faster_large(2^30); t1=etime(clock,ta); % time in sec fprintf('P 2^30 %12i %10.3f\n',length(p),t1) assert(isequal(length(p),54400028)) assert(all(diff(p)>0)) %assert(isequal(size(unique(p),2),54400028)) ptr=randi(7603553,1,10); % small to avoid timeout pchk=double(p(ptr)); assert(all(isprime(pchk))) feval( @assignin,'caller','score',floor(min(55,t1)) ); toc

P 2^30 54400028 10.259 Elapsed time is 10.656207 seconds.

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