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Will Prime and PrimePi test up to 3 * 10^12? Where can I find the limits for these funtions? Also, what are the limits for PrimeOmega and PrimeNu? More generally, is there any documentation that gives limits for all of Mathematica's functions?

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  • $\begingroup$ Try here $\endgroup$
    – cormullion
    Dec 14, 2013 at 11:36
  • $\begingroup$ I can't find the answer there unfortunately $\endgroup$
    – martin
    Dec 14, 2013 at 11:48
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    $\begingroup$ The maximum of Prime has been discussed here: mathematica.stackexchange.com/questions/3327/… $\endgroup$
    – C. E.
    Dec 14, 2013 at 11:59
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    $\begingroup$ Ilian Gachevski mentions over at wolfram community that PrimeQ is valid up to $2^{64}$ $\endgroup$
    – ssch
    Dec 14, 2013 at 12:25
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    $\begingroup$ Test in PrimalityProving is correct for all natural numbers but is much slower. $\endgroup$
    – Artes
    Dec 14, 2013 at 13:05

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