Published October 30, 2025
| Version CC-BY-NC-ND 4.0
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An Innovative Approach to Find Remainder
- 1. Department of Engineering Science, Academy of Technology, Adisaptagram, Hooghly, India.
Description
Abstract: Let r be the remainder when x! is divided by p, (x, p) ∈ N, x < p. Then the value of r is given by the minimum value of k for which (−1) (m-1) (m-1)! k + 1 = 0(mod p), where m = p − x, k ∈ N.
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Identifiers
- DOI
- 10.54105/ijam.B1205.05021025
- EISSN
- 2582-8932
Dates
- Accepted
-
2025-10-15Manuscript received on 03 July 2025 | First Revised Manuscript received on 27 June 2025 | Second Revised Manuscript received on 17 September 2025 | Manuscript Accepted on 15 October 2025 | Manuscript published on 30 October 2025.
References
- P.N. Seetharaman. (2024). In Search of an Elementary Proof for Fermat's Last Theorem. Indian Journal of Advanced Mathematics, 4(1), 35–39. DOI: https://doi.org/10.54105/ijam.a1190.04010424
- Bashir, S. (2023). Pedagogy of Mathematics. International Journal of Basic Sciences and Applied Computing, 10(2), 1–8. DOI: https://doi.org/10.35940/ijbsac.b1159.1010223