I have attempted to solve this equation $5^{250} \bmod 26$, and the result I get is 1. However, a calculator says that the answer should be 25. I have done out the question in Paint to demonstrate my logic. Where did I go wrong?
2026-03-25 12:55:13.1774443313
What is $5^{250} \bmod{26}$, step by step?
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$$5^{10} \equiv (5^2)^{5} \equiv (-1)^{5}\equiv -1 \equiv 25 \pmod{26}$$