just some unformatted notes of the harder ones.
862591559561497151050143615844796922676745216137584527768676481602284639 solution 3 [2, 1; 241, 1; 13633, 1; 5550215053208003929302852601201, 1; 23651403663025001450257295998140623, 1]
15450938044564692288746582873614059390629490453344209663962540632677447295745316740045672843724365195742523 solution 4 [2, 1; 41, 1; 24639539179251210855889, 1; 227011624723863689126629, 1; 4549697311286994681589117379, 1; 7404194459971394608150930435979, 1]
? m[5] %5 = 587135645693458306972370149197334256843920637227079966811081824609485917244124494882365172478748165648998663
[2, 1; 17, 1; 239, 1; 359, 1; 9137, 1; 52195183, 1; 3544939683290142715349, 1; 119048596986995103937710155160761091324964506194606913025949983644817, 1]
? m[6] %5 = 815061317237192195822186322581994619328922585201839922566836546496458006742605076478278502538607299555033837 [2, 2; 3, 2; 22640592145477560995060731182833183870247849588939997849078792958234944631739029902174402848294647209862051, 1] [2, 1; 5, 2; 289729071978852212063521, 1; 1562880244694956534724744409145689309637193746299406076190301328929803286807967321, 1] [2, 3; 5, 1; 7, 2; 11, 1; 19, 1; 109, 1; 35002321230253561971279870916994230549204397557833418203638668836315513707, 1] [2, 1; 54934487254227589231, 1; 6079857359179201369147, 1; 52399649852849583985441933671329, 1]
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