A190781 Lucas Aurifeuillian primitive part B of Lucas(10*n - 5).
11, 31, 151, 911, 541, 3641, 272611, 18451, 12760031, 7947701, 767131, 4106261531, 28144128251, 34379101, 120196353941, 823837075741, 51164521, 4215154433351, 2918000731816531, 73998076231, 12462174208709101, 939587136717207031, 3467131047901
Offset: 1
Keywords
Links
- Arkadiusz Wesolowski, Table of n, a(n) for n = 1..250
- John Brillhart, Peter L. Montgomery and Robert D. Silverman, Tables of Fibonacci and Lucas factorizations, Math. Comp. 50 (1988), pp. 251-260, S1.
- C. K. Caldwell, "Top Twenty" page, Lucas Aurifeuillian primitive part
Programs
-
Mathematica
lst = {1}; n = 23; Do[f = LucasL[k]; Do[f = f/GCD[f, lst[[d]]], {d, Most@Divisors[k]}]; AppendTo[lst, f], {k, 2, 10*n - 5}]; Table[GCD[lst[[5*k]], 5*Fibonacci[k]*(Fibonacci[k] + 1) + 1], {k, 1, 2*n - 1, 2}]