Largest known probable prime Fibonacci Cofactors (proper divisor of a Fibonacci number with a prime index)
|
Cofactor |
Digits |
When |
|---|---|---|
|
U(348307)/(1393229 . 14759160817) |
72776 |
07/2007 |
|
U(228223)/(1369337 . 89717648662417) |
47676 |
05/2007 |
|
U(208519)/(417037 . 337800781) |
43564 |
05/2007 |
|
U(179689)/359377 |
37547 |
11/2005 |
|
U(138449)/722703781 |
28925 |
09/2005 |
|
U(117167)/17658707237 |
24476 |
08/2005 |
|
U(71983)/(5614673 . 363946049) |
15028 |
06/2005 |
|
U(69239)/1384781 |
14464 |
08/2004 |
|
U(66947)/(130011073 . 1211874593 . 77572426157 . 1021533561481) |
13951 |
06/2005 |
|
U(42043)/1681721 |
8780 |
08/2004 |
|
U(37987)/(16117960073 . 94533840409 . 1202815961509) |
7906 |
05/2005 |
|
U(37217)/4466041 |
7771 |
08/2004 |
All 12 probable prime cofactors have passed a Miller-Rabin primality test in 10 randomly chosen bases (ispseudoprime test in PARI/GP). The 9 largest probable prime cofactors on this page are listed on Henri Lifchitz's Top 10000 PRPs page. Click here to view. All probable prime cofactors on this page were found by me except U(117167)/17658707237 was found by Jens Kruse Andersen.
Blair Kelly's Fibonacci and Lucas Factorizations
20 largest known prime Fibonacci cofactors (The Prime Pages)
Biography of Fibonacci (Leonardo of Pisa)
Main page
Last updated on July 12, 2007
Donovan Johnson