Problem 52644. List modest numbers up to n

Created by ChrisR

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After determining the nude numbers, or the numbers that openly display some of their divisors as their digits, one would think that the modest numbers were those not divisible by any of their digits. Instead a modest number x is one that can be divided into two parts a and b such that when x is divided by b, the remainder is a. For example, 411 is modest because it can be divided into 4 and 11, and dividing 411 by 11 leaves a remainder of 4. 
Write a function to list the modest numbers up to n. 

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Last Solution submitted on Jun 17, 2024

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GeeTwo on 30 Dec 2022

No one has asked whether a must be at the big end and b at the small end, or could they be swapped. The answer is clearly yes, a is at the big end. If you could swap them, every multiple of 10 would be a solution (among many others). The test cases show multiples of 10 are not solutions to the first few.

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Problem 52644. List modest numbers up to n

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Problem 52644. List modest numbers up to n

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Last 200 Solutions

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Problem Recent Solvers8

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