What are the limits of the Prime-functions?

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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?

martin

Posted 2013-12-14T11:32:21.667

Reputation: 7 587

Question was closed 2013-12-24T22:04:57.710

Try here

– cormullion – 2013-12-14T11:36:03.333

I can't find the answer there unfortunately – martin – 2013-12-14T11:48:50.320

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The maximum of Prime has been discussed here: http://mathematica.stackexchange.com/questions/3327/what-is-so-special-about-prime/3365#3365

– C. E. – 2013-12-14T11:59:09.097

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Ilian Gachevski mentions over at wolfram community that PrimeQ is valid up to $2^{64}$

– ssch – 2013-12-14T12:25:57.460

1Test in PrimalityProving is correct for all natural numbers but is much slower. – Artes – 2013-12-14T13:05:12.033

No answers