Asked by shaun

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

Answers

Answered by Reiny
(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!
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions