Equal sums of four seventh powers
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- by Randy L. Ekl PDF
- Math. Comp. 65 (1996), 1755-1756 Request permission
Abstract:
In this paper, the method used to find the smallest, nontrivial, positive integer solution of $a_1^7+a_2^7+a_3^7+a_4^7=b_1^7+b_2^7+b_3^7+b_4^7$ is discussed. The solution is \begin{equation*} 149^7+123^7+14^7+10^7= 146^7+129^7+90^7+15^7.\end{equation*} Factors enabling this discovery are advances in computing power, available workstation memory, and the appropriate choice of optimized algorithms.References
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Additional Information
- Randy L. Ekl
- Affiliation: 930 Lancaster Lane, Lake Zurich, Illinois 60047
- Email: randye@comm.mot.com
- Received by editor(s): May 10, 1995
- Received by editor(s) in revised form: July 5, 1995, and September 7, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Math. Comp. 65 (1996), 1755-1756
- MSC (1991): Primary 11D41, 11Y50; Secondary 11P05
- DOI: https://doi.org/10.1090/S0025-5718-96-00768-5
- MathSciNet review: 1361807