Shanks(7-)
Phi14(2^7^m) = 64^7^m-32^7^m+16^7^m-8^7^m+4^7^m-2^7^m+1

factors: k*(2*7^(m+1))+1  see 7-Proths

0 43
1 4363953127297
2 2513690593 * 2883580030222424891 * 4391115859495019452210297067047180796674861654177048737558611
3 13181491 (#1) * 452614853377 (#2) * 4363212891182861017 (#33) * C(583) #162
4 99721141171 (#2) * C(4326) #25
5
6
7
8
9

(0) 2*7^1
43-1 = 2 * 3 * 7

(1) 2*7^2
4363953127297-1 = 2^7 * 3 * 7^2 * 127 * 337 * 5419

(2) 2*7^3
2513690593-1 = 2^5 * 3 * 7^3 * 97 * 787
2883580030222424891-1 = 2 * 5 * 7^3 * 17 * 49452581550719
4391115859495019452210297067047180796674861654177048737558611-1 = 2 * 5 * 7^3 * 17 * 37 * 59 * 106742263087907 * 45233402450490071 * 7144674638019232140481

(3) 2*7^4
13181491-1 = 2 * 3^2 * 5 * 7^4 * 61 
452614853377-1 = 2^8 * 3^4 * 7^4 * 9091
4363212891182861017-1 = 2^3 * 3^2 * 7^4 * 439 * 222247 * 258691

(4) 2*7^5
99721141171-1 = 2 * 3 * 5 * 7^5 * 23 * 8599