%0 Journal Article %1 roy2018solutions %A Roy, B.M. %D 2018 %J International Journal of Current Innovations in Advanced Research %K CONGRUENCE %N 3 %P 27-29 %T Solutions of a Class of Congruence of Multiple of PrimePower Modulus of Higher Degree %U https://www.ijciaropenaccess.com/docs/volume1/issue3/IJCIAR-02.pdf %V 1 %X Abstract: In this paper, a formula to find the solutions of a congruence of prime power modulus of higher degree the type where p is an odd positive prime integer and n is any positive integer, is established. The formula is of great merit and of time-saving in calculation. The method found in the Mathematics literature is timeconsuming. It is also found that such a congruence is solvable if and each congruence has exactly p solutions and in total, there are (p-1) such congruence. Keywords: Binomial Expansion, Fermat’s Theorem, Prime-power modulus

@article{roy2018solutions, abstract = {Abstract: In this paper, a formula to find the solutions of a congruence of prime power modulus of higher degree the type where p is an odd positive prime integer and n is any positive integer, is established. The formula is of great merit and of time-saving in calculation. The method found in the Mathematics literature is timeconsuming. It is also found that such a congruence is solvable if and each congruence has exactly p solutions and in total, there are (p-1) such congruence. Keywords: Binomial Expansion, Fermat’s Theorem, Prime-power modulus}, added-at = {2018-08-22T10:23:30.000+0200}, author = {Roy, B.M.}, biburl = {https://www.bibsonomy.org/bibtex/276e0a2515304cf63ffc9a5b138ee5887/ijciar}, interhash = {80d94efde583252cc2a63b0cfa3a2fe5}, intrahash = {76e0a2515304cf63ffc9a5b138ee5887}, issn = {2636-6282}, journal = {International Journal of Current Innovations in Advanced Research }, keywords = {CONGRUENCE}, language = {English}, month = jul, number = 3, pages = {27-29}, timestamp = {2018-12-12T12:35:09.000+0100}, title = {Solutions of a Class of Congruence of Multiple of PrimePower Modulus of Higher Degree }, url = {https://www.ijciaropenaccess.com/docs/volume1/issue3/IJCIAR-02.pdf}, volume = 1, year = 2018 }