divisible by 61

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divisible by 61

Postby Math Tutor » Tue Nov 23, 2010 9:09 am

Find all natural numbers n so that [tex]5^n - 4^n[/tex] is divisible by 61
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Re: divisible by 61

Postby Guest » Fri Dec 31, 2010 1:29 pm

Every number devisible by 3 :)
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Re: divisible by 61

Postby Math Tutor » Sat Jan 01, 2011 4:51 am

Yes that is a correct answer.

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Re: divisible by 61

Postby perfectmath » Fri Jun 29, 2012 12:30 am

Guest wrote:Every number devisible by 3 :)

How to find the answer like that ??

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Re: divisible by 61

Postby leesajohnson » Sat Jan 09, 2016 3:11 am

5n−4n is divisible by 61

5n - 4n
5*3 - 4*3
125 - 64 = 61

So the answer is 3

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Re: divisible by 61

Postby Guest » Thu Nov 24, 2022 4:29 am

find divisible number of 6793.45 using divisiblity rules
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Re: divisible by 61

Postby AngleWyrm » Fri Dec 02, 2022 12:41 pm

61 is a prime number

[tex]5^{n} - 4^{n}[/tex] mod [tex]61 = 0[/tex]

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