Grand? Really?

Number Theory Level 3

A grand number (in this question) is a triangular number that is the product of 3 consecutive positive integers. What is grander about them is that they are a finite number of grand numbers, namely n n where m m is the greatest (as in value) number and is in the set of grand numbers. The sum of the numbers in the set of grand numbers is q q .

Find the digit sum of the digit sum of q − m − n q - m - n .


The answer is 3.

Mohammad Farhat by Mohammad Farhat , 16, Singapore

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1 solution

Mohammad Farhat
Oct 22, 2018

Note: This is not a complete solution

The numbers are 6 , 120 , 210 , 990 , 185136 , 258474216 6, 120, 210, 990, 185136, 258474216

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@Calvin Lin , when I see the status of this question (correct, wrong, saw solution, unfinished), I saw that my status is that I saw the solution! Which is ridiculous because I posted this question!

Mohammad Farhat - 2 years, 7 months ago

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When you first post a problem, you didn't "attempt it normally" and so we say "you viewed the solution".
When you refresh the problem, we had the time to "artificially create a correct attempt for the problem". Can you refresh the page and let me know if you are still "saw solution"?

Edit: And now that I have changed the answer to "3", your artificially created attempt is now incorrect. If you had not submitted a solution, you will not be able to.

Calvin Lin Staff - 2 years, 7 months ago

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