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Find n if ϕ(n) = (2^6) * (17) and τ(n) = 12.?

Marisa @Marisa

May 2021 1 109 Report

Find n if ϕ(n) = (2^6) * (17) and τ(n) = 12.?

Science & Mathematics / Mathematics

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Universalist

Verified answer

There are 9 different answers for the first condition:

http://www.wolframalpha.com/input/?i=Solve+%CF%95%...

The second condition gives you n = 84:

http://www.wolframalpha.com/input/?i=Solve+%CF%84%...

They don't seem to be reconcilable (agreeable) outcomes, so please double-check your problem statement.

If however with tau you meant the number of divisors, then the list of 9 boils down to only 2740 and 2890, which you can verify have 12 divisors each.

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Answers & Comments

Verified answer

use fermatx27s theorem to prove that any prime p gt 5 divides infinitely many numbers of the form 99 9

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