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PowerModList—Wolfram Documentation

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PowerModList[a,s/r,m]

gives a list of all modulo m for which mod m.

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PowerModList

PowerModList[a,s/r,m]

gives a list of all modulo m for which mod m.

Details

  • Integer mathematical function.
  • PowerModList[a,-1,m] gives the modular inverse {x} for which mod m, or {} if no such x exists.

Examples

Basic Examples  (1)

Find modular square roots of 3 modulo 11:

Wolfram Language code: PowerModList[3, 1 / 2, 11]
Wolfram Research (2007), PowerModList, Wolfram Language function, https://reference.wolfram.com/language/ref/PowerModList.html.

Text

Wolfram Research (2007), PowerModList, Wolfram Language function, https://reference.wolfram.com/language/ref/PowerModList.html.

CMS

Wolfram Language. 2007. "PowerModList." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PowerModList.html.

APA

Wolfram Language. (2007). PowerModList. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PowerModList.html

BibTeX

@misc{reference.wolfram_2026_powermodlist, author="Wolfram Research", title="{PowerModList}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/PowerModList.html}", note=[Accessed: 14-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_powermodlist, organization={Wolfram Research}, title={PowerModList}, year={2007}, url={https://reference.wolfram.com/language/ref/PowerModList.html}, note=[Accessed: 14-November-2026]}