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There are 6 pairs of prime numbers that add to reach 100:

3+97

11+89

17+83

29+71

41+59

47+53

Here are some groups of more than 2 prime numbers forming 100: (incomplete list)

3+7+11+79

2+3+5+11+79

3+5+13+79

2+19+79

3+5+19+73

3+7+17+73

2+5+7+13+73

71+19+7+3

71+19+5+3+2

71+17+7+3+2

71+13+11+3+2

67+13+7+3

67+13+5+3+2

67+11+7+3+2

67+11+7+5

61+37+2

61+31+5+3

61+29+5+3+2

61+29+7+3

61+23+13+3

61+23+11+5

61+19+17+3

61+19+11+7+2

61+17+13+7+2

61+13+11+7+5+3

59+31+7+3

59+31+5+3+2

59+29+7+3+2

59+23+13+5

59+23+11+7

59+23+11+5+2

59+19+13+7+2

59+17+13+11

59+13+11+2+3+5+7

53+37+7+3

53+37+5+3+2

53+31+13+3

53+31+11+5

53+31+11+3+2

53+29+11+5+2

53+23+13+11

53+19+17

53+19+2+3+5+7

53+17+13+7+5+3+2

And so on. So you see, there are many. Please, keep in mind, the list of sums of more than 2 primes is a very incomplete list. I would finish it, but that would take many hours.

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Q: How many prime numbers can add to 100?
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