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Find 74307 mod 724 using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 74¹ mod 724 = 74² mod 724 = 744 mod 724 = 748 mod 724 = 7416 7432 7464 74128 256 742 mod 724 = mod 724 = mod 724 = mod 724 = mod 724 = Since 307 = 256 + 32 + 16 + 2 + 1, 74307 mod 724 = (742567432.74 . = - ((74256 mod 724) · (7432 mod 724) · (74 11 -74²2-74¹) mod 724 724) (742 mod 724). (74¹ mod 724)) mod 724 mod 724 .

Find 74307 mod 724 using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 74¹ mod 724 = 74² mod 724 = 744 mod 724 = 748 mod 724 = 7416 7432 7464 74128 256 742 mod 724 = mod 724 = mod 724 = mod 724 = mod 724 = Since 307 = 256 + 32 + 16 + 2 + 1, 74307 mod 724 = (742567432.74 . = - ((74256 mod 724) · (7432 mod 724) · (74 11 -74²2-74¹) mod 724 724) (742 mod 724). (74¹ mod 724)) mod 724 mod 724 .

Advanced Engineering Mathematics
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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Find 74307 First compute the following. 74¹ mod 724 = 74² mod 724 = 744 mod 724 = 748 mod 724 = 7416 mod 724 = 7432 mod 724 = 7464 mod 724 = 74128 mod 724 = 74 mod 724 using the techniques described in Example 8.4.4 and Example 8.4.5. 256 mod 724 = Since 307 256 + 32 + 16 + 2 + 1, mod 724 = (74256.7432.74- 74307 = 1.74².74¹) mod 724 (74256 mod 724) (7432 mod 724) (74 mod 724 d 724) · (74² mod 724) · (74¹ mod 724))mod 724
Transcribed Image Text:Find 74307 First compute the following. 74¹ mod 724 = 74² mod 724 = 744 mod 724 = 748 mod 724 = 7416 mod 724 = 7432 mod 724 = 7464 mod 724 = 74128 mod 724 = 74 mod 724 using the techniques described in Example 8.4.4 and Example 8.4.5. 256 mod 724 = Since 307 256 + 32 + 16 + 2 + 1, mod 724 = (74256.7432.74- 74307 = 1.74².74¹) mod 724 (74256 mod 724) (7432 mod 724) (74 mod 724 d 724) · (74² mod 724) · (74¹ mod 724))mod 724
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