find the next series 3,8,24,48,120,168,?
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If you add 1 to each number, you can see that they are square of numbers:
3+1 = 4 = 2^2.
8+1 = 9 = 3^2.
24+1 = 25 = 5^2.
48+1 = 49 = 7^2.
120+1 =121 = 11^2.
168+1 = 169 = 13^3.
All are prime squares.
The missing prime is 17.
So answer is 17^2 - 1
= 289 - 1
= 288.
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