Posted by **shaun** on Sunday, September 16, 2012 at 10:30am.

three consecutive primes are summed. when the sum is squared, the result is 72,361. what is the largest of the three primes?

- math -
**Reiny**, Sunday, September 16, 2012 at 11:48am
(sum of 3 consecutive primes )^2 = 72361

sum of 3 consecutive primes = 269

269/3 = 89

so the middle prime must be around 89

BUT 89 is a prime

http://primes.utm.edu/lists/small/10000.txt

the one before is 83 and the one after is 97

So the largest of these primes is 97

check:

(83+89+97)^

= 269^2

= 72361 , YEAH!

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