Analysis of Quadratic residue and Cubic residues over ring Zpm

Below Tables are the analysis of Cubic residue, Quadratic residues over ring Zpm where p is prime and m is natural number. (Click on particular ring Zpm to access it)


Results can be used to find,

Reference:
A046530: Number of distinct cubic residues mod n.
A000224: Number of squares mod n.

Z5m
Z5
Z25
Z125
Z625
Z3125
Z15625
Z78125
Z390625
Z7m
Z7
Z49
Z343
Z2401
Z16807
Z117649
Z823543
Z5764801
Z11m
Z11
Z121
Z1331
Z14641
Z161051
Z1771561
Z13m
Z13
Z169
Z2197
Z28561
Z371293
Z4826809

Created By: Param Parekh, Paavan Parekh
Mentored By: Manish K. Gupta, Sourav Deb
Email: ecc [at] guptalab.org