Super numbers

Number Theory Level 2

A positive integer n n is a super number, if there doesn't exist five positive integers ( a , b , c , d , e a, b, c, d, e ), such that n = a 3 + b 5 + c 7 + d 9 + e 11 n=a^3+b^5+c^7+d^9+e^{11}

How many super numbers are there?

5 1 4 2 3 More than 5, but not infinite Infinite

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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