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$MaxPrecision
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$MaxPrecision

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gives the maximum number of digits of precision to be allowed in arbitrary‐precision numbers.

Details

Examples

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Basic Examples  (2)Summary of the most common use cases

Limit a calculation to use at most 100 digits of precision:

In[1]:=1
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https://wolfram.com/xid/0n45ebmagpe-eucbg2
Out[1]=1

Do a computation with fixed 24 digit precision:

In[1]:=1
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https://wolfram.com/xid/0n45ebmagpe-f9fkdw
Out[1]=1

Applications  (1)Sample problems that can be solved with this function

Iterate a map using fixed precision:

In[1]:=1
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https://wolfram.com/xid/0n45ebmagpe-cl9fdu
In[2]:=2
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https://wolfram.com/xid/0n45ebmagpe-k4x51c
Out[2]=2

If the precision is not fixed, it eventually drops to zero in the 100 iterations:

In[3]:=3
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https://wolfram.com/xid/0n45ebmagpe-cu14po
Out[3]=3

Possible Issues  (1)Common pitfalls and unexpected behavior

When $MaxPrecision is set, some computations may not get correct results:

In[1]:=1
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https://wolfram.com/xid/0n45ebmagpe-i671t
Out[1]=1

The actual value is much smaller:

In[2]:=2
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https://wolfram.com/xid/0n45ebmagpe-2ujke
Out[2]=2
Wolfram Research (1996), $MaxPrecision, Wolfram Language function, https://reference.wolfram.com/language/ref/$MaxPrecision.html (updated 2003).
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Wolfram Research (1996), $MaxPrecision, Wolfram Language function, https://reference.wolfram.com/language/ref/$MaxPrecision.html (updated 2003).

Text

Wolfram Research (1996), $MaxPrecision, Wolfram Language function, https://reference.wolfram.com/language/ref/$MaxPrecision.html (updated 2003).

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Wolfram Research (1996), $MaxPrecision, Wolfram Language function, https://reference.wolfram.com/language/ref/$MaxPrecision.html (updated 2003).

CMS

Wolfram Language. 1996. "$MaxPrecision." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2003. https://reference.wolfram.com/language/ref/$MaxPrecision.html.

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Wolfram Language. 1996. "$MaxPrecision." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2003. https://reference.wolfram.com/language/ref/$MaxPrecision.html.

APA

Wolfram Language. (1996). $MaxPrecision. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$MaxPrecision.html

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Wolfram Language. (1996). $MaxPrecision. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$MaxPrecision.html

BibTeX

@misc{reference.wolfram_2025_$maxprecision, author="Wolfram Research", title="{$MaxPrecision}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/$MaxPrecision.html}", note=[Accessed: 02-April-2025 ]}

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@misc{reference.wolfram_2025_$maxprecision, author="Wolfram Research", title="{$MaxPrecision}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/$MaxPrecision.html}", note=[Accessed: 02-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_$maxprecision, organization={Wolfram Research}, title={$MaxPrecision}, year={2003}, url={https://reference.wolfram.com/language/ref/$MaxPrecision.html}, note=[Accessed: 02-April-2025 ]}

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@online{reference.wolfram_2025_$maxprecision, organization={Wolfram Research}, title={$MaxPrecision}, year={2003}, url={https://reference.wolfram.com/language/ref/$MaxPrecision.html}, note=[Accessed: 02-April-2025 ]}