how to calculate remainder of $7^ {154}$ when it is divided by $341$. Could you please state which method or theorem to use.
2026-04-03 09:24:52.1775208292
Calculate $7^{154} \pmod{341}$
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Notice, that $7^3 = 343$ and $341*3=1023$, so $2^{10} \equiv 1 \pmod{341}$, then
$$7^{154} \equiv 7 * 2^{51} \equiv 7 * 1 * 2 = 14 \pmod{341}$$