Math

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?

asked by Kris
  1. I must be one of:
    41
    43
    47
    so add 1
    42
    44
    48
    so
    42 = 2*3*7 and sum = 11, remarkable
    44=2*2*11 nope
    48=2*2*2*2*3 nope

    posted by Damon
  2. So I think 41

    posted by Damon
  3. 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

    posted by Umm

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