maths Maths Puzzle

Does there exist a (base 10) 67-digit multiple of 267, written exclusively with the digits 6 and 7?

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maths Other Question

Find all integer solutions of y2 = x3 − 432. The sum of three numbers is 6, the sum of their squares is 8, and the sum of their cubes is 5. What is the sum of their fourth powers?