# What are the limits of the Prime-functions? [duplicate]

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?

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