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7. Calculate each of the following. [from #22, 4.5] b) 971321 (mod 765) a) 2557341 (mod 5681)

7. Calculate each of the following. [from #22, 4.5] b) 971321 (mod 765) a) 2557341 (mod 5681)

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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#7. Thanks. 

**Problem 7: Modular Exponentiation Calculations** Calculate each of the following: a) \( 2557^{341} \pmod{5681} \) b) \( 971^{321} \pmod{765} \) These problems require you to compute the remainder of the exponentiations when divided by the given modulus. These are examples of modular exponentiation, which is common in fields such as cryptography. To solve these problems efficiently, techniques like repeated squaring or using a modular arithmetic calculator are often employed.
Transcribed Image Text:**Problem 7: Modular Exponentiation Calculations** Calculate each of the following: a) \( 2557^{341} \pmod{5681} \) b) \( 971^{321} \pmod{765} \) These problems require you to compute the remainder of the exponentiations when divided by the given modulus. These are examples of modular exponentiation, which is common in fields such as cryptography. To solve these problems efficiently, techniques like repeated squaring or using a modular arithmetic calculator are often employed.
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