State Fermat's Little Theorem. In the groun (7/1017)x find 5100 5101 and 5202 (101 is a prime number)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) State Fermat’s Little Theorem.

(b) In the group \( (\mathbb{Z}/101\mathbb{Z})^\times \), find \( 2^{100} \), \( 2^{101} \), and \( 2^{202} \) (101 is a prime number).
Transcribed Image Text:(a) State Fermat’s Little Theorem. (b) In the group \( (\mathbb{Z}/101\mathbb{Z})^\times \), find \( 2^{100} \), \( 2^{101} \), and \( 2^{202} \) (101 is a prime number).
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