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Totient Trial (Posted on 2016-10-24) Difficulty: 3 of 5
It is observed that Φ(1)=1 and, Φ(2)=1, where Φ(x) denotes Euler's totient function.
So for x=1, it is trivially observed that each of Φ(x) and Φ(x+1) is a perfect square.

(A) What is the next positive integer value of x such that each of Φ(x) and Φ(x+1) is a perfect square?

(B) What is the value of x with 2000 ≤ x ≤ 2100 such that each of Φ(x) and Φ(x+1) is a perfect square?

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer solutionCharlie2016-10-24 19:16:26
SolutionMy wayJer2016-10-24 13:39:57
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