10
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This is related to the question asked before: Buttons on an old non-scientific calculator are less sensitive

We have chosen 5 different integer values ($a,b,c,d,e$), and written them in an ascending order next to each other and taken their sum and multiplication. Strangely, we got the same result as $41040$ after the multiplication and summation.

Then we noticed that it was actually our mistake while calculating their sum, our old calculator did not get the input "+" twice in a row while putting values to the calculator at some point but there was no mistake at multiplication.

What are our numbers?

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  • $\begingroup$ Thanks for fine tuning the question. I am loving this place(stackexchange). People are so intelligent and admirable. $\endgroup$ – Nikhil Bhavar May 9 '17 at 17:29
9
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The numbers are

3, 4, 10, 18, 19

Prime factorization got us to

$2^4 \cdot 3^3 \cdot 5 \cdot 19$, addition rules implied that the numbers that were combined started with 4,10 and tweaking results got me the rest of the way.

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