Name  Status  Notes  
Collatz Conjecture  Unsolved  (3x + 1) 2^68 295,147,905,179,352,825,856 quintillion 

Po/lya Conjecture  Solved as False  1919 proven false by C. Brian Haselgrove in 1958 conjecture failed at 1.845 x 10^361 

Catalan's Conjecture  only consecutive power Preda 3^2  2^3 = 1 
