Phi5(2^5^m)
 = 16^5^m+8^5^m+4^5^m+2^5^m+1
Shanks(5)

0 31
1 601 * 1801
2 269089806001 * 4710883168879506001
3 1277297679372570001 * 573759820507018639639785001 * 18152902839291497575027462639977160832701118299213751 * 246053469753590746981511859818675718355368494592178751
4 2839015665925001 (#2) * 8959931591578725001 (#103) * C(719) #1141
5 C(3763) #417
6 C(18815) #255
7 [need a primality test]
8
9



(0) 2 * 5^1
31-1 = 2 * 3 * 5

(1) 2 * 5^2
601-1 = 2^3 * 3 * 5^2
1801-1 = 2^3 * 3^2 * 5^2

(2) 2 * 5^3
269089806001-1 = 2^4 * 3 * 5^3 * 41 * 107 * 10223
4710883168879506001-1 = 2^4 * 3^2 * 5^3 * 41^2 * 184711 * 842887

(3) 2 * 5^4
1277297679372570001-1 = 2^4 * 3^2 * 5^4 * 14192196437473
573759820507018639639785001-1 = 2^3 * 3 * 5^4 * 6143 * 9283 * 19379891 * 34611361
18152902839291497575027462639977160832701118299213751-1 = 2 * 5^4 * 569 * 1319 * 9049 * 24077 * 6198377 * 22580392210333 * 634551066796877
246053469753590746981511859818675718355368494592178751-1 = 2 * 5^4 * 7 * 11 * 23201 * 3229181 * 16064768673841 * 2124003297492931256519479

(4) 2 * 5^5
2839015665925001-1 = 2^3 * 5^5 * 17 * 61 * 181 * 605021
8959931591578725001-1 = 2^3 * 3 * 5^5 * 473633 * 252232751