Math

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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?

  • Math -

    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

  • Math -

    So I think 41

  • Math -

    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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