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Step Numbers

A ‘step number’ is a number consisting of at least 3 strictly increasing numbers with a fixed 'step size'. For example, 357 is a step number with 3 steps and step size 2, and 591317 is a step number with 4 steps and step size 4 (5|9|13|17).

Challenger

Determine the five smallest step numbers that are divisible by 5. What's the largest among them?

Mastermind

Determine the five smallest step numbers that are divisible by 11. What's the largest among them?