SOLUTION: In the primes between 100 and 200 there are instances when three consecutive primes have an average equal to the middle number. How many times does this occur?

Algebra ->  Divisibility and Prime Numbers  -> Lessons -> SOLUTION: In the primes between 100 and 200 there are instances when three consecutive primes have an average equal to the middle number. How many times does this occur?      Log On


   

Question 1097803: In the primes between 100 and 200 there are instances when three consecutive primes have an average equal to the middle number. How many times does this occur?
Found 2 solutions by MathTherapy, ikleyn:
Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
In the primes between 100 and 200 there are instances when three consecutive primes have an average equal to the middle number. How many times does this occur?
Misinterpreted!!

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
I used this table
https://www.factmonster.com/math/numbers/prime-numbers-facts-examples-table-all-1000 

                                                101	103	107	109
113	127	131	137	139	149	151	157	163	167
173	179	181	191	193	197	199

and found 2 (two) such occurrences: 

       a)  151	157	163

and

       b)  167   173    179