| Name | Status | Notes | |
| Collatz Conjecture | Unsolved | (3x + 1) 2^68 295,147,905,179,352,825,856 quintillion |
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| Po/lya Conjecture | Solved as False | 1919 proven false by C. Brian Haselgrove in 1958 conjecture failed at 1.845 x 10^361 |
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| Catalan's Conjecture | only consecutive power Preda 3^2 - 2^3 = 1 |
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