What are the limits of the Prime-functions?

Asked Dec 14 '13 at 11:32

Active Jan 06 '17 at 12:17

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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?

edited Jan 06 '17 at 12:17

J. M.'s missing motivation

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asked Dec 14 '13 at 11:32

martin

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Try here – cormullion Dec 14 '13 at 11:36
I can't find the answer there unfortunately – martin Dec 14 '13 at 11:48
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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. Dec 14 '13 at 11:59
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Ilian Gachevski mentions over at wolfram community that PrimeQ is valid up to $2^{64}$ – ssch Dec 14 '13 at 12:25
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Test in PrimalityProving is correct for all natural numbers but is much slower. – Artes Dec 14 '13 at 13:05

What are the limits of the Prime-functions?

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