# Math

posted by Kris

I am a prime number between 40 and 50. If you add one to me, the sum of the prime factors of that composite number is 11. What number am I?

1. Damon

I must be one of:
41
43
47
42
44
48
so
42 = 2*3*7 and sum = 11, remarkable
44=2*2*11 nope
48=2*2*2*2*3 nope

2. Damon

So I think 41

3. Umm

41+1=42=2*3*7...2+3+7=12
43+1=44=2*2*11...2+2+11=15
47+1=48=2*2*2*2*3=2+2+2+2+3=11

47 is the answer

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