Find the integer a such that 0 < a < 113 and 10270 + 1 = a³7 (mod 113).
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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![**Problem 2.31**
Find the integer \( a \) such that \( 0 \leq a < 113 \) and
\[ 102^{70} + 1 \equiv a^{37} \pmod{113}. \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe87a569b-7721-4104-9b29-fedcf0a2817b%2F0b009916-438b-4257-a63b-58827f640465%2Fp38jrhb_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 2.31**
Find the integer \( a \) such that \( 0 \leq a < 113 \) and
\[ 102^{70} + 1 \equiv a^{37} \pmod{113}. \]
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