Phi30(2^30^m)
Phi30(x) = x^8+x^7-x^5-x^4-x^3+x+1
Shanks(30)

Phi30(2^30^m) = 256^30^m+128^30^m-32^30^m-16^30^m-8^30^m+2^30^m+1

0 331
1 695701 * 307116398490301 * 413150254353901 * 6269989892198401 * 3192261504216112476901
2 2140830001 * 5522688001 * 10896550812001 * 1566364275534049506001 * C(2115)
3


(0) 30^1
331-1 = 2 * 3 * 5 * 11

(1) 30^2
695701-1 = 2^2 * 3^2 * 5^2 * 773
307116398490301-1 = 2^2 * 3^2 * 5^2 * 7 * 1063 * 1721 * 26647
413150254353901-1 = 2^2 * 3^2 * 5^2 * 7 * 47 * 719 * 1940621
6269989892198401-1 = 2^12 * 3^3 * 5^2 * 17 * 133399499
3192261504216112476901-1 = 2^2 * 3^2 * 5^2 * 37 * 43 * 97 * 179 * 171929 * 746813

(2) 30^3
2140830001-1 = 2^4 * 3^5 * 5^4 * 881
5522688001-1 = 2^11 * 3^3 * 5^3 * 17 * 47
10896550812001-1 = 2^5 * 3^3 * 5^3 * 7^2 * 41 * 50221
1566364275534049506001-1 = 2^4 * 3^3 * 5^3 * 13397599 * 2165070461