for

the solutions n = 1, 3, 15, 104, 164, 194, 255, 495, 584, 975, 2204, 2625, 2834, 3255, 3705, 5186, 5187

It follows that the least number which satisfies the equation

is 5186

It is not known whether there exist infinitely many integers for which

For there are 391 solutions

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For , there are 7998 solutions

For , the solutions are : 4, 7, 8, 10, 26, 32, 70, 74

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The equation has two solutions, n = 3 and n = 5

for

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