# Questions tagged [system-limitations]

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### Largest n in Prime[n] [duplicate]

What is the largest integer $n$ that the function Prime[n] can take?
• 153
1 vote
191 views

### Is there any hope to get the result faster if we use a supercomputer for the given problem?

If an operation in Mathematica (say, computing the determinant of a $88\times88$ parametric matrix) takes much time to be computed on a personal computer (core i7), say a week, then, is there any hope ...
• 1,159
1 vote
127 views

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### Library for FEAST method is missing

Mathematica (V 12.3.1, Native Mac M1 version) is not letting me use the FEAST method for solving eigenvalue problems. For example, ...
• 331
I want to get Limit of the following function at $T\to 0$. $$Eig=\frac{8 (\eta +J \sinh (2 \beta \eta ) \sinh (2 \beta J)+\eta \cosh (2 \beta \eta ) \cosh (2 \beta J))}{\eta Z^2}$$ where $Z=2 (... • 629 2 votes 2 answers 125 views ### Unexpected limit result (was: How to fix the limit problem?) MATHEMATICA fails in proving that Limit[ Integrate[ x^(x - 1) , {x, t, 2*t} ] , t -> 0 , Direction -> "FromAbove" ] == Log[2] How to fix ... 2 votes 0 answers 169 views ### How to deal properly with big integer limitations [closed] I need to run an algorithm that manipulates digits with big integers and integer functions, And I need to be careful to avoid erroneous results in my research. It is not necessary to answer every ... • 121 3 votes 1 answer 68 views ### Question on Global System variables What are the maximum values for$MaxLicenseProcesses and $MaxLicenseSubprocesses? Can they be infinite or are there specific ... 0 votes 0 answers 149 views ### Calculation time for a limit, is my calculation still calculating? I am calculating the limit of an eighth order derivative with ~700 terms. The notebook has been in the 'running' phase for a few days now. If it says it is still running, does this necessarily mean ... 2 votes 1 answer 275 views ### The maximum number of length in mathematica What is the maximum number that can be used with the following command in mathematica? Length[IntegerDigits[x!]] where 'x' is replaced by some finite integer for ... • 315 9 votes 2 answers 690 views ### Is it possible to specify a zero-thickness curve for a (filled) ListPlot? With Joined -> True, ListPlot's filling is solid by default. But note that the filling and the line have different shades: <... • 11.7k 9 votes 2 answers 399 views ### Degradation of image when used as texture in 3D graphics An answer at zhihu motivated me to ask this question: Though applying a texture to a surface or a Graphics object is quite convenient in Mathematica, the quality ... • 9,403 3 votes 0 answers 200 views ### Limit of an infinite nested radical? Is it possible to compute the limit of this infinite nested radical in Mathematica: Limit[Sqrt[n+Sqrt[n+Sqrt[n+Sqrt[n+...]]]], n->0] • 31k -2 votes 1 answer 82 views ### Result of the limit n -> infinity x(ln(x/x+1) [closed] Can someone give me a detailed, step by step process on how to solve:$\lim_{x\to \infty } x(ln \frac{x}{x+1}) $6 votes 2 answers 910 views ### Determining the number of equilibrium points Let's define the potential function$\Omega(x,y)$of two magnetic dipoles ... • 8,550 2 votes 2 answers 184 views ### Nesting BaseForm several functions deep causes dependent functions to not fully evaluate. Solutions? Below is a simplified scenario of a problem that I'm running into. There are 3 functions each wrapped with BaseForm[] and a default base of 10 is passed to each ... • 107 10 votes 0 answers 209 views ### Why is 13 the smaller height dimension of a Graphics? It seems that you cannot get a Graphics image with a height dimension less than 13. Trying to draw something and then asking for ... • 331 8 votes 0 answers 204 views ### Color Snapping When Using VertexColors with a Tube with BSplineCurve as an Argument I think I've identified a bug in how VertexColors are treated when rendering a Tube object where the underlying data is a ... • 6,047 3 votes 2 answers 2k views ### Regular expression too large problem pattern = Names["*"]; StringMatchQ["Bold", pattern[[1 ;; -1 ;; 2]]] (* True *) StringMatchQ["Bold", pattern] Error Information: RegularExpression::msg20: ... • 8,509 7 votes 1 answer 3k views ### Largest matrix size supported by Mathematica 10 I have need to store large square matrices in memory, some times sparse, some times not. I have used up to$2^{15}$by$2^{15}$as my upper bound so far, and Mathematica has handled it even if it took ... • 839 1 vote 3 answers 2k views ### The biggest exponent that can be computed I am struggling with my crypt assignments and constantly getting overflow errors. Below is a simplified version of the problems I am experiencing ... • 13 1 vote 1 answer 70 views ### Is there a limit for DensityHistogram data amount? I'm trying Mathematica for first time and while trying to do a Density Histogram with around 300 000 points, I get an error "THE INPUTED DATA is not a valid dataset or list of datasets." Maybe it's ... 32 votes 3 answers 3k views ### Is it possible to draw really thin lines in Mathematica? I want to have in Mathematica the same result I have in Python: I have this nice effect simply by using very thin lines. But it seems in Mathematica thickness property has some limit and i just got ... • 1,895 10 votes 0 answers 1k views ### Does a running evaluation continue after the PC wakes from sleep mode? Are there any issues with running a process on Mathematica, putting the computer to sleep, and then waking the computer sometime later? It seems to work just fine on my test process (appending data ... • 1,860 13 votes 3 answers 919 views ### ToExpression fails with long nested string expressions Consider the following conversion from String to Mathematica Expression: ... • 7,797 7 votes 1 answer 228 views ### Why is there a limit of 15 different instruments to be played simultaneously, with Sound / SoundNote? It seems to be impossible to play more than 15 different instruments simultaneously with the Sound[{Soundnote[...],...}] construct. Any guesses why it is so? With ... • 71 4 votes 0 answers 339 views ### Why does OS X need permission to allow JLink connections each time it starts? I understand that JLink loads each time Mathematica launches or each time a kernel starts, and that this can require permission from the firewall, if it is enabled but OS X provides settings the ... • 12.8k 58 votes 3 answers 6k views ### What is so special about Prime? When we try to evaluate Prime on big numbers (e.g. 10^13) we encounter the following issue: ... • 56.6k 29 votes 3 answers 926 views ### What determines the value of$MaxNumber?
What determines the value of $MaxNumber?$MaxNumber 1.233433712981650*10^323228458 ...