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23 + 2

19 + 3 + 3

17 + 5 + 3

17 and 4 twos

17, 2 threes and 2 twos

13 + 7 + 5

13 and 6 twos

13 and 4 threes

11 and 2 sevens

11 and 7 twos

and a bunch more up to

10 twos and 5

11 twos and 3

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Q: How many different ways are there to add prime numbers to make a total of 25?
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