SOLUTION: Find the biggest positive integral value that CANNOT be written as the sum of a positive composite integral value and a positive integer multiple of 42.

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Question 939727: Find the biggest positive integral value that CANNOT be written as the sum of a positive composite integral value and a positive integer multiple of 42.
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
composite integral value + multiple of 42

We are finding the smallest prime less than 42, which is 41.

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

The answer by @CubeyThePenguin is certainly  INCORRECT,  because there are other numbers
GREATER  THAN  41  and satisfying the imposed condition.


For example,  the numbers  44,  45,  47,  49  and many others.



For some analysis,  see this link

https://artofproblemsolving.com/wiki/index.php/1995_AIME_Problems/Problem_10