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This question already has an answer here:

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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marked as duplicate by rm -rf Dec 24 '13 at 22:04

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  • $\begingroup$ Try here $\endgroup$ – cormullion Dec 14 '13 at 11:36
  • $\begingroup$ I can't find the answer there unfortunately $\endgroup$ – martin Dec 14 '13 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 '13 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 '13 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 '13 at 13:05