Phi6(2^6^m)
 
 = Phi3(-2^6^m) = 4^6^m-2^6^m+1
 = Phi(6^(m+1))(2)
Shanks(6)

 
0 3
1 37 * 109
2 33975937 * 138991501037953
3 10369 * 259201 * 1824045366145909775041 * 524833094849624730914401 * P(76) 4310500811590110373680321883148441662769860394543817514762656603162260887009



(0) 6^1
3 exception

(1) 6^2
37-1 = 2^2 * 3^2
109-1 = 2^2 * 3^3

(2) 6^3
33975937-1 = 2^7 * 3^4 * 29 * 113
138991501037953-1 = 2^7 * 3^3 * 79 * 509081623

(3) 6^4
10369-1 = 2^7 * 3^4
259201-1 = 2^7 * 3^4 * 5^2
1824045366145909775041-1 = 2^6 * 3^6 * 5 * 19 * 23 * 17892733436939
524833094849624730914401-1 = 2^5 * 3^4 * 5^2 * 1061 * 7633625028357023
P(76)-1 = 2^5 * 3^4 * 101 * 117016168497363413 * 213610945241526331 * 658721721545608220012367588148904933