Find 96307 7 (mod 739) using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 96' (mod 739) - 96? (mod 739) = 96* (mod 739) = 96° (mod 739) = 9616 (mod 739) ▪ 9632 (mod 739) = 9664 (mod 739) - 96128 (mod 739) - 96256 (mod 739) = Since 307 - 256 + 32 + 16 + 2 + 1, 96307 (mod 739) = (96256 . 9632 . 96 - 96² . 96')(mod 739) 96256 (mod 739) - 9632 (mod 739) - 96' (mod 739) - 962 (mod 739) - 96' (mod 739)
Find 96307 7 (mod 739) using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 96' (mod 739) - 96? (mod 739) = 96* (mod 739) = 96° (mod 739) = 9616 (mod 739) ▪ 9632 (mod 739) = 9664 (mod 739) - 96128 (mod 739) - 96256 (mod 739) = Since 307 - 256 + 32 + 16 + 2 + 1, 96307 (mod 739) = (96256 . 9632 . 96 - 96² . 96')(mod 739) 96256 (mod 739) - 9632 (mod 739) - 96' (mod 739) - 962 (mod 739) - 96' (mod 739)
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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Transcribed Image Text:Find 96307 (mod 739) using the techniques described in Example 8.4.4 and Example 8.4.5.
First compute the following.
96' (mod 739) =
962 (mod 739) =
964 (mod 739) =
968 (mod 739) =
9616 (mod 739) =
9632 (mod 739) =
9664 (mod 739) =
96128 (mod 739) =
96256 (mod 739) =
Since 307 = 256 + 32 + 16 + 2 + 1,
96307
(mod 739) = (96256. 9632. 96
-962. 96')(mod 739)
96256 (mod 739) - 9632 (mod 739) - 96
(mod 739) - 962 (mod 739) - 96' (mod 739)
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