new sequence

[Tanya Khovanova]

Hello seqfans,

I am trying to build a new sequence: Numbers n such that (phi(n) + sigma(n))=(rad(n))^2, where rad(n) is the product of distinct prime divisors.

I got only two numbers 2 and 588. Can anyone prove that 588 is the largest or find more?

Best, Tanya


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