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How many ways can you make 25 with only prime numbers?

41.

The prime numbers which are less than 25 are 2, 3, 5, 7, 11, 13, 17, 19 and 23.

1. 2 + 23 Using two numbers
2. 3 + 3 + 19 Using three numbers
3. 3 + 5 + 17
4. 3 + 11 + 11
5. 5 + 7 + 13
6. 7 + 7 + 11
7. 2 + 2 + 2 + 19 Using four numbers
8. 2 + 3 + 3 + 17
9. 2 + 3 + 7 + 13
10. 2 + 5 + 5 + 13
11. 2 + 5 + 7 + 11
12. 2 + 2 + 2 + 2 + 17 Using five numbers
13. 2 + 2 + 3 + 5 + 13
14. 2 + 2 + 3 + 7 + 11
15. 2 + 2 + 5 + 5 + 11
16. 2 + 2 + 7 + 7 + 7
17. 3 + 3 + 3 + 3 + 13
18. 3 + 3 + 3 + 5 + 11
19. 3 + 3 + 5 + 7 + 7
20. 3 + 5 + 5 + 5 + 7
21. 5 + 5 + 5 + 5 + 5
22. 2 + 2 + 2 + 3 + 3 + 13 Using six numbers
23. 2 + 2 + 2 + 3 + 5 + 11
24. 2 + 2 + 2 + 5 + 7 + 7
25. 2 + 3 + 3 + 3 + 3 + 11
26. 2 + 3 + 3 + 3 + 7 + 7
27. 2 + 3 + 3 + 5 + 5 + 7
28. 2 + 3 + 5 + 5 + 5 + 5
29. 3 + 3 + 3 + 3 + 3 + 5 + 5 Using seven numbers
30. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 11 Using eight numbers
31. 2 + 2 + 2 + 3 + 3 + 3 + 3 + 7
32. 2 + 3 + 3 + 3 + 3 + 3 + 3 + 5
33. 2 + 2 + 2 + 2 + 2 + 2 + 3 + 3 + 7 Using nine numbers
34. 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 5
35. 2 + 2 + 3 + 3 + 3 + 3 + 3 + 3 + 3
36. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 7 Using ten numbers
37. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 3 + 3 + 5
38. 2 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 3
39. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 5 Using eleven numbers
40. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 3 + 3 + 3
41. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 3 Using twelve numbers
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Q: How many ways can you make 25 with only prime numbers?  