Greedy algorithm for Egyptian fractions: Difference between revisions

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8/97 has maximum denominator = 1/13 + 1/181 + 1/38041 + 1/1736503177 + 1/3769304102927363485 + 1/18943537893793408504192074528154430149 + 1/538286441900380211365817285104907086347439746130226973253778132494225813153 + 1/579504587067542801713103191859918608251030291952195423583529357653899418686342360361798689053273749372615043661810228371898539583862011424993909789665
8/97 has maximum denominator = 1/13 + 1/181 + 1/38041 + 1/1736503177 + 1/3769304102927363485 + 1/18943537893793408504192074528154430149 + 1/538286441900380211365817285104907086347439746130226973253778132494225813153 + 1/579504587067542801713103191859918608251030291952195423583529357653899418686342360361798689053273749372615043661810228371898539583862011424993909789665
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Note also that <math>\tfrac{44}{53}</math> also has 8 terms.
:<math>\tfrac{1}{2} + \tfrac{1}{4} + \tfrac{1}{13} + \tfrac{1}{307} + \tfrac{1}{120871} + \tfrac{1}{20453597227} + \tfrac{1}{697249399186783218655} + \tfrac{1}{1458470173998990524806872692984177836808420}</math>