- #1

kaliprasad

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Find all pairs of integers n and k such that $n!+8 = 2^k$

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- #1

kaliprasad

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Find all pairs of integers n and k such that $n!+8 = 2^k$

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- #2

I like Serena

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Find integers n and k such that $n!+8 = 2^k$

From inspection I can find $n=4,\,k=5$.

As a bonus I can see that $n=5,\,k=7$ works as well.

I kind of suspect that you intended to find all such integers, did you? Ah well, that was not the question.

- #3

Opalg

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I really don't like that ISPOILER effect! :sick:From inspection I can find $n=4,\,k=5$.

As a bonus I can see that $n=5,\,k=7$ works as well.

I kind of suspect that you intended to find all such integers, did you? Ah well, that was not the question.

- #4

I like Serena

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It's new in Xenforo. I felt I just had to try it out. 😢I really don't like that ISPOILER effect! :sick:

- #5

kaliprasad

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From inspection I can find $n=4,\,k=5$.

As a bonus I can see that $n=5,\,k=7$ works as well.

I kind of suspect that you intended to find all such integers, did you? Ah well, that was not the question.

I have edited the question to make it more clear

your solution is correct. please mention the steps

- #6

Opalg

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- #7

Arlynnnn

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Where's the solutions?

- #8

Opalg

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If you click on the blurred sections in the above comments, they will become clear and reveal the solutions.Where's the solutions?

- #9

Arlynnnn

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your solution is correct. please mention the steps

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