You need a bigger calculator

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- Nov 24th 2013, 05:45 AM #1

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## mod 7

find the smallest positive integer b which satisfies 3^56=b(mod7)

I am very new to modular arithmetic and I stubbled upon this question.

Wouldn't 'b' have a specific solution.

Asking for the smallest positive integer b confuses me.

when I put 3^56 into my calculator or into Excel i get a rounded answer. This also surprised me a little.

The calculator doesn't have enough digits, so there is no enigma there.

But why does Excel round? I think the last digit has to be 1, and excel just gives about 15 places and then a stack of zeros.

Can you set excel to give more acuracy? I guess that this is a second question.

This is it for me. would someone like to add input please.

- Nov 24th 2013, 08:20 AM #2

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- Nov 24th 2013, 09:42 AM #3

- Nov 24th 2013, 03:28 PM #4

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## Re: mod 7

Thanks Idea

I responded to you in the wee hours but I must not have pressed 'reply'

I was thinking of writing Santa a note, but now Dan has shown me I don't have to.

(Unless I am visiting the regional Australia where there is no internet coverage.)

Melody

- Nov 24th 2013, 03:29 PM #5

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