Find 75307 mod 735 using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 751 mod 735 = 752 mod 735 754 mod 735 = 758 mod 735 = 7516 mod 735 = 7532 mod 735 = 7564 mod 735 = 75128 mod 735 = 75256 mod 735 = Since 307 = 256 + 32 + 16 + 2 + 1, 75307 mod 735 = 75256. 7532. 75 752 . 75')mod 735 *((75256 (75256, mod 735) · (7532 mod 735) · (75– mod 735) · (752 mod 735) · (751 mod 735) )mod 735

Find 75307 mod 735 using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 751 mod 735 = 752 mod 735 754 mod 735 = 758 mod 735 = 7516 mod 735 = 7532 mod 735 = 7564 mod 735 = 75128 mod 735 = 75256 mod 735 = Since 307 = 256 + 32 + 16 + 2 + 1, 75307 mod 735 = 75256. 7532. 75 752 . 75')mod 735 *((75256 (75256, mod 735) · (7532 mod 735) · (75– mod 735) · (752 mod 735) · (751 mod 735) )mod 735

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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12. [1.67/8.37 Points] DETAILS Find 55 307 MY NOTES EPPDISCMATH5 8.4.018. (mod 721) using techniques described in Example 8.4.4 and Example 8.4.5. First compute values of 55k mod 721 for k = 1, 2, 4, 8, 256. For instance, 5532 mod 721 = 614 By Corollary 8.4.4 , if k and m are positive integers, then (55k · 55m) mod 721 = (55k mod 721) · 307 25632+ 16 + 2 + 1 Given that 307 = 256 + 32 + 16 + 2 + 1, 55 Complete the calculations to conclude that 55 mod 721 = 55 mod 721. 307 mod 721 = Need Help? Read It Submit Answer PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER × and 55256 mod 721 = 460 mod 721
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