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$MinNumber
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$MinNumber

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gives the minimum positive arbitrary‐precision number that can be represented on a particular computer system.

Details

Examples

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

The nonzero number of minimum magnitude representable on this computer system:

In[1]:=1
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https://wolfram.com/xid/0b0m6agh01e-b0nelw
Out[1]=1

Smaller numbers yield underflows:

In[1]:=1
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https://wolfram.com/xid/0b0m6agh01e-crk860
Out[1]=1

Properties & Relations  (3)Properties of the function, and connections to other functions

$MinNumber has the smallest possible exponent:

In[1]:=1
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https://wolfram.com/xid/0b0m6agh01e-cj2b1o
Out[1]=1

$MinNumber×$MaxNumber is approximately 1:

In[1]:=1
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https://wolfram.com/xid/0b0m6agh01e-db09da
Out[1]=1

$MinNumber is not a machine number:

In[1]:=1
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https://wolfram.com/xid/0b0m6agh01e-bssm13
Out[1]=1

It does have precision equivalent to that of machine numbers:

In[2]:=2
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https://wolfram.com/xid/0b0m6agh01e-exlge5
Out[2]=2
Wolfram Research (1996), $MinNumber, Wolfram Language function, https://reference.wolfram.com/language/ref/$MinNumber.html.
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Wolfram Research (1996), $MinNumber, Wolfram Language function, https://reference.wolfram.com/language/ref/$MinNumber.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_$minnumber, author="Wolfram Research", title="{$MinNumber}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/$MinNumber.html}", note=[Accessed: 08-June-2025 ]}

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@misc{reference.wolfram_2025_$minnumber, author="Wolfram Research", title="{$MinNumber}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/$MinNumber.html}", note=[Accessed: 08-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_$minnumber, organization={Wolfram Research}, title={$MinNumber}, year={1996}, url={https://reference.wolfram.com/language/ref/$MinNumber.html}, note=[Accessed: 08-June-2025 ]}

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@online{reference.wolfram_2025_$minnumber, organization={Wolfram Research}, title={$MinNumber}, year={1996}, url={https://reference.wolfram.com/language/ref/$MinNumber.html}, note=[Accessed: 08-June-2025 ]}