Are There Any Integer Solutions?
Published : 08-06-2023 - Duration : 00:07:27 - Like : 297 - Dislike : 0
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We determine if there are any integer solutions to a^m + 1 = 2^n (for a, m, n greater than 1). This problem is a special case of Catalan's conjecture. Factor theorem: https://en.wikipedia.org/wiki/Factor_theorem 00:00 Intro & constraints 00:50 Considering odd & even numbers 02:50 Factorising 04:30 More odd & even numbers 05:54 Ruling out more solutions 06:46 Conclusion
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