self Maths Puzzle

What is the smallest interval between two successive Primitive Abundant Numbers less than 10,000?

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self Other Question

2,5,12,31,81,__,__ Find all 5-digit integers such that the sum of the cube of the integer formed from its first 2 digits and the square of the integer formed from its last 3 digits generates a new integer which is an exact multiple of the original integer.