For each of the following congruences, find all integers N, with N&gt;1, that make the congruence true. 23≡22(mod N).

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FizeauV

2020-11-07

For each of the following congruences, find all integers N, with N>1, that make the congruence true.

23 \equiv 22 (m o d N)

funblogC

Skilled2020-11-08Added 91 answers

Concept used:

x \equiv y (m o d n)

if and only if x and y differ by a multiple of n.
The given congruence is,

23 \equiv 22 (m o d N)

.
The difference of the given congruence integers is calculated as,

x - y = 23 - 22 = 1

There are zero factors of 1 for N > 1 , so there are no integers for the given congruence.

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