mersenneforum.org Is Mathematica really slow?
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 2005-02-10, 14:32 #1 wakko   Nov 2004 2×5 Posts Is Mathematica really slow? M[p_]:=2^p-1 LL[p_]:=Module[{s,c,counter}, If[PrimeQ[p]==False,Print["The exponent must be prime"]]; s=4; c=M[p]; counter=0; iter=p-1; Print["Iteration : 0 "," / ",iter]; For[i=1,i
 2005-02-10, 14:49 #2 Mystwalker     Jul 2004 Potsdam, Germany 3×277 Posts I remember that Louis Helm (one of the creators of SoB - which uses the same algorithmic implementation as Prime95) once said that an implementation in Java would be roughly 30 times slower. I think the reason here is similar: The speed difference (incidently 30 times as well) supposely comes from the fact that Mathematica's routines are not hand-optimized for this exact purpose and architecture (does Mathematica use SSE2/FFTs/IBDWT?). In addition, I believe some "tricks" prime95 uses can only be applied due to special properties of mersenne numbers. Mathematica can't take that into account, I guess. Last fiddled with by Mystwalker on 2005-02-10 at 14:52
 2005-02-10, 20:51 #3 jinydu     Dec 2003 Hopefully Near M48 2·3·293 Posts Mathematica is slow in other things too. It took Mathematica hours to compute just 25,000 digits of Zeta(3). Other programs can do it in a fraction of a second on the same computer.
 2005-02-10, 23:16 #4 grandpascorpion     Jan 2005 Transdniestr 50310 Posts Is Maple faster in general?
 2005-02-11, 01:45 #5 wakko   Nov 2004 2×5 Posts Thanks anyway for your replies. I am trying to comprehent the deeper things apon LL, that experiment showed me a lot. Mayber I'll try something hand-optimized.. CU later sievers
 2021-02-09, 16:46 #6 mattprim     Feb 2021 Salt Lake City, UT 29 Posts I excluded giant Mersenne with Mathematica I managed to exclude a giant Mersennes with Mathematica https://www.mersenneforum.org/showth...ht=Mathematica Pity I later learned they were both known but with Monte Carlo it worked below a Ghz x Minute and they are both above the biggest 2021 Mersenne prime known. Last fiddled with by mattprim on 2021-02-09 at 16:51
 2021-02-09, 16:52 #7 VBCurtis     "Curtis" Feb 2005 Riverside, CA 47×101 Posts "excluded" = trial-factored. Trial-factoring is not at all related to a primality test, and comparing the speed of those two things is akin to someone asking what the 99th power of 99 is, and you answering "Well, I added 99 and 99 really fast!"

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