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Use Fermat’s Theorem to show thata1104≡1 (mod 1105)for any a that is relatively prime to1105. That...

Use Fermat’s Theorem to show thata1104≡1 (mod 1105)for any a that is relatively prime to1105. That is,1105is a Carmichael number. You may use the factorizations

1105 = 5·13·17

1104 = 24·3·2

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