Answered: 1. (a) question: Use Fermat’s Little…

1. (a) question: Use Fermat’s Little Theorem to calculate: (i) 23106 (mod 107) (ii) 431 (mod 7) (iii) 316 + 532 + 864 +13128 (mod 17) (iv) the remainder of 21000 divided by 13

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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Question

1. (a) question:

Use Fermat’s Little Theorem to calculate:
(i) 23¹⁰⁶ (mod 107)
(ii) 4³¹ (mod 7)
(iii) 3¹⁶ + 5³² + 8⁶⁴ +13¹²⁸ (mod 17)
(iv) the remainder of 2¹⁰⁰⁰ divided by 13

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