Take all real numbers for which is a positive integer.

Find those of them for which is a prime number.

Note that

Any other solutions?

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Take all real numbers for which is a positive integer.

Find those of them for which is a prime number.

Note that

Any other solutions?

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X +1/x #n. Prime.

#1st solution 1+1 #2.

Tan 45 deg #1.

Other solution eg surds or continued fraction.

x sq – nx +1#0.

X= ( n +- sqrt (nsq -4))/2 …?

Nsq # 4, 9, 25,49, 121, 169, 289, 361..

query every prime n has a solution for

Tan cub +cot cub #n.

i haven’t tried these problems. Don newt

I posted some solutions