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Discrete Mathematics Q&A Archive of August 1, 2022

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August 1 of 2022

Prove that 23^ prime prime -1 is divisible by 11 for all positive integers n.
Show that \( \mu \) is \( \sigma \)-finite if and only if all but a countable number of the \( \mu_{2} \) are zero and the remainder are \( \sigma \)-finite.
The ciphertext CIHOLINFO was encrypted by Hill cipher with a 3x3 matrix. The plaintext is SITCRYPTO. Find the encryption matrix M
Prove that 23^ prime prime -1 is divisible by 11 for all positive integers n.