The number 70,843,029,071,054,204,781,573,025,995,798,769,907,739,696,815,288,329,699,328 is the twenty-third power of a positive integer.

Find the positive integer using just a simple calculator with pen and paper.

When I first tried to solve this problem, I believed that only numbers ending in 12 can have a 23rd power ending in 28. I took n^23 for different n ending in 12, and none of them worked. Therefore, I believed that this number was not a 23rd power. However, then I realized that numbers ending in 62 also have a 23rd power ending in 28. I had missed the answer of 362.

Posted by Math Man on 2023-07-19 13:44:20