perplexus.info :: Numbers : Square and Prime

Square and Prime (Posted on 2023-12-16)

Kenny has gone to a lecture by Jenny, a famous mathematician. Kenny tells Lenny that Jenny handed everyone at the lecture 2 cards, one containing a 5-digit prime, and the other containing a 5-digit square. All of the cards held different numbers.

Then she asked everyone to add their 2 numbers, and amazingly they all got the same sum. Kenny says it's lucky that Lenny didn't attend, because then the trick would have been impossible.

What was the sum they all got?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

They all got 101888 and there were 69 attendees, as that is the number of such totals that can be made that are all equal, and it's the maximum such number.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution	Charlie	2023-12-16 13:32:41
Solution	Larry	2023-12-16 10:57:32

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