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Prime Numbers | 4 Aug 2009

Discussion in '$1 Daily Competition' started by shabbir, Aug 4, 2009.

  1. shabbir

    shabbir Administrator Staff Member

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    List a set of prime numbers where the sum total of the complete set is 100.
     
  2. rik625

    rik625 New Member

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    The sum of first 9 prime number is 100:

    2
    3
    5
    7
    11
    13
    17
    19
    23
     
  3. rik625

    rik625 New Member

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    Well there are other possiblities too..but im just considering the first set n obviously the easier one to figure out... :P
     
  4. SaswatPadhi

    SaswatPadhi ~ Б0ЯИ Τ0 С0δЭ ~

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  5. SaswatPadhi

    SaswatPadhi ~ Б0ЯИ Τ0 С0δЭ ~

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    The first (and smallest) set that I could think of immediately was 97+3.
    But, your answer is acceptable too.
    So, congrats :)
     
  6. rik625

    rik625 New Member

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    Thanks saswat :)
     
  7. nimesh

    nimesh New Member

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    Listings all possible sets that I could think of :)

    03 97
    11 89
    02 03 05 07 83
    02 03 05 11 79
    02 03 05 17 73
    02 03 05 19 71
    02 07 11 13 67
    02 07 13 17 61
    02 07 11 19 61
    02 03 05 07 11 13 59
    02 03 05 07 13 17 53
    02 03 05 11 13 19 47
    03 05 13 17 19 43
    02 03 05 13 17 19 41
    03 11 13 17 19 37
    02 07 11 13 17 19 31
    02 03 05 07 11 13 17 19 23
    05 07 17 19 23 29
    07 11 13 17 23 29
     
  8. shabbir

    shabbir Administrator Staff Member

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    This are the first 9 prime numbers as well which when verifying yesterdays sum hit as 100. So formed this one.
     
  9. nimesh

    nimesh New Member

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    Congrats rik
     
  10. SaswatPadhi

    SaswatPadhi ~ Б0ЯИ Τ0 С0δЭ ~

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    OK, now that I have coded my own super-fast generator, I would like to mention that this list is far from complete, the complete list has 233 different sets. The list is :

    --> { 3, 97 }
    --> { 11, 89 }
    --> { 17, 83 }
    --> { 29, 71 }
    --> { 41, 59 }
    --> { 47, 53 }
    --> { 2, 19, 79 }
    --> { 2, 31, 67 }
    --> { 2, 37, 61 }
    --> { 3, 5, 13, 79 }
    --> { 3, 5, 19, 73 }
    --> { 3, 5, 31, 61 }
    --> { 3, 7, 11, 79 }
    --> { 3, 7, 17, 73 }
    --> { 3, 7, 19, 71 }
    --> { 3, 7, 23, 67 }
    --> { 3, 7, 29, 61 }
    --> { 3, 7, 31, 59 }
    --> { 3, 7, 37, 53 }
    --> { 3, 7, 43, 47 }
    --> { 3, 11, 13, 73 }
    --> { 3, 11, 19, 67 }
    --> { 3, 11, 43, 43 }
    --> { 3, 13, 17, 67 }
    --> { 3, 13, 23, 61 }
    --> { 3, 13, 31, 53 }
    --> { 3, 13, 37, 47 }
    --> { 3, 13, 41, 43 }
    --> { 3, 17, 19, 61 }
    --> { 3, 17, 37, 43 }
    --> { 3, 19, 31, 47 }
    --> { 3, 19, 37, 41 }
    --> { 3, 23, 31, 43 }
    --> { 3, 23, 37, 37 }
    --> { 3, 29, 31, 37 }
    --> { 5, 7, 17, 71 }
    --> { 5, 7, 29, 59 }
    --> { 5, 7, 41, 47 }
    --> { 5, 11, 13, 71 }
    --> { 5, 11, 17, 67 }
    --> { 5, 11, 23, 61 }
    --> { 5, 11, 31, 53 }
    --> { 5, 11, 37, 47 }
    --> { 5, 11, 41, 43 }
    --> { 5, 13, 23, 59 }
    --> { 5, 13, 29, 53 }
    --> { 5, 13, 41, 41 }
    --> { 5, 17, 19, 59 }
    --> { 5, 17, 31, 47 }
    --> { 5, 17, 37, 41 }
    --> { 5, 19, 23, 53 }
    --> { 5, 19, 29, 47 }
    --> { 5, 23, 29, 43 }
    --> { 5, 23, 31, 41 }
    --> { 7, 11, 23, 59 }
    --> { 7, 11, 29, 53 }
    --> { 7, 11, 41, 41 }
    --> { 7, 13, 19, 61 }
    --> { 7, 13, 37, 43 }
    --> { 7, 17, 23, 53 }
    --> { 7, 17, 29, 47 }
    --> { 7, 19, 31, 43 }
    --> { 7, 19, 37, 37 }
    --> { 7, 23, 29, 41 }
    --> { 11, 13, 17, 59 }
    --> { 11, 13, 23, 53 }
    --> { 11, 13, 29, 47 }
    --> { 11, 17, 19, 53 }
    --> { 11, 17, 29, 43 }
    --> { 11, 17, 31, 41 }
    --> { 11, 19, 23, 47 }
    --> { 11, 19, 29, 41 }
    --> { 11, 23, 29, 37 }
    --> { 13, 17, 23, 47 }
    --> { 13, 17, 29, 41 }
    --> { 13, 19, 31, 37 }
    --> { 17, 19, 23, 41 }
    --> { 17, 23, 29, 31 }
    --> { 19, 23, 29, 29 }
    --> { 2, 3, 5, 7, 83 }
    --> { 2, 3, 5, 11, 79 }
    --> { 2, 3, 5, 17, 73 }
    --> { 2, 3, 5, 19, 71 }
    --> { 2, 3, 5, 23, 67 }
    --> { 2, 3, 5, 29, 61 }
    --> { 2, 3, 5, 31, 59 }
    --> { 2, 3, 5, 37, 53 }
    --> { 2, 3, 5, 43, 47 }
    --> { 2, 3, 7, 17, 71 }
    --> { 2, 3, 7, 29, 59 }
    --> { 2, 3, 7, 41, 47 }
    --> { 2, 3, 11, 13, 71 }
    --> { 2, 3, 11, 17, 67 }
    --> { 2, 3, 11, 23, 61 }
    --> { 2, 3, 11, 31, 53 }
    --> { 2, 3, 11, 37, 47 }
    --> { 2, 3, 11, 41, 43 }
    --> { 2, 3, 13, 23, 59 }
    --> { 2, 3, 13, 29, 53 }
    --> { 2, 3, 13, 41, 41 }
    --> { 2, 3, 17, 19, 59 }
    --> { 2, 3, 17, 31, 47 }
    --> { 2, 3, 17, 37, 41 }
    --> { 2, 3, 19, 23, 53 }
    --> { 2, 3, 19, 29, 47 }
    --> { 2, 3, 23, 29, 43 }
    --> { 2, 3, 23, 31, 41 }
    --> { 2, 5, 7, 13, 73 }
    --> { 2, 5, 7, 19, 67 }
    --> { 2, 5, 7, 43, 43 }
    --> { 2, 5, 11, 23, 59 }
    --> { 2, 5, 11, 29, 53 }
    --> { 2, 5, 11, 41, 41 }
    --> { 2, 5, 13, 19, 61 }
    --> { 2, 5, 13, 37, 43 }
    --> { 2, 5, 17, 23, 53 }
    --> { 2, 5, 17, 29, 47 }
    --> { 2, 5, 19, 31, 43 }
    --> { 2, 5, 19, 37, 37 }
    --> { 2, 5, 23, 29, 41 }
    --> { 2, 7, 11, 13, 67 }
    --> { 2, 7, 11, 19, 61 }
    --> { 2, 7, 11, 37, 43 }
    --> { 2, 7, 13, 17, 61 }
    --> { 2, 7, 13, 19, 59 }
    --> { 2, 7, 13, 31, 47 }
    --> { 2, 7, 13, 37, 41 }
    --> { 2, 7, 17, 31, 43 }
    --> { 2, 7, 17, 37, 37 }
    --> { 2, 7, 19, 29, 43 }
    --> { 2, 7, 19, 31, 41 }
    --> { 2, 7, 23, 31, 37 }
    --> { 2, 7, 29, 31, 31 }
    --> { 2, 11, 13, 31, 43 }
    --> { 2, 11, 13, 37, 37 }
    --> { 2, 11, 17, 23, 47 }
    --> { 2, 11, 17, 29, 41 }
    --> { 2, 11, 19, 31, 37 }
    --> { 2, 13, 17, 31, 37 }
    --> { 2, 13, 19, 23, 43 }
    --> { 2, 13, 19, 29, 37 }
    --> { 2, 13, 23, 31, 31 }
    --> { 2, 17, 19, 31, 31 }
    --> { 2, 17, 23, 29, 29 }
    --> { 3, 5, 7, 11, 13, 61 }
    --> { 3, 5, 7, 11, 31, 43 }
    --> { 3, 5, 7, 11, 37, 37 }
    --> { 3, 5, 7, 13, 19, 53 }
    --> { 3, 5, 7, 13, 29, 43 }
    --> { 3, 5, 7, 13, 31, 41 }
    --> { 3, 5, 7, 17, 31, 37 }
    --> { 3, 5, 7, 19, 23, 43 }
    --> { 3, 5, 7, 19, 29, 37 }
    --> { 3, 5, 7, 23, 31, 31 }
    --> { 3, 5, 11, 13, 31, 37 }
    --> { 3, 5, 11, 17, 23, 41 }
    --> { 3, 5, 11, 19, 31, 31 }
    --> { 3, 5, 11, 23, 29, 29 }
    --> { 3, 5, 13, 17, 19, 43 }
    --> { 3, 5, 13, 17, 31, 31 }
    --> { 3, 5, 13, 19, 23, 37 }
    --> { 3, 5, 13, 19, 29, 31 }
    --> { 3, 7, 11, 13, 19, 47 }
    --> { 3, 7, 11, 13, 23, 43 }
    --> { 3, 7, 11, 13, 29, 37 }
    --> { 3, 7, 11, 17, 19, 43 }
    --> { 3, 7, 11, 17, 31, 31 }
    --> { 3, 7, 11, 19, 23, 37 }
    --> { 3, 7, 11, 19, 29, 31 }
    --> { 3, 7, 13, 17, 19, 41 }
    --> { 3, 7, 13, 17, 23, 37 }
    --> { 3, 7, 13, 17, 29, 31 }
    --> { 3, 7, 13, 19, 29, 29 }
    --> { 3, 7, 17, 19, 23, 31 }
    --> { 3, 11, 13, 17, 19, 37 }
    --> { 3, 11, 13, 19, 23, 31 }
    --> { 5, 7, 11, 13, 17, 47 }
    --> { 5, 7, 11, 13, 23, 41 }
    --> { 5, 7, 11, 17, 19, 41 }
    --> { 5, 7, 11, 17, 23, 37 }
    --> { 5, 7, 11, 17, 29, 31 }
    --> { 5, 7, 11, 19, 29, 29 }
    --> { 5, 7, 13, 17, 29, 29 }
    --> { 5, 7, 17, 19, 23, 29 }
    --> { 5, 11, 13, 17, 23, 31 }
    --> { 5, 11, 13, 19, 23, 29 }
    --> { 5, 13, 17, 19, 23, 23 }
    --> { 7, 11, 13, 17, 23, 29 }
    --> { 7, 11, 17, 19, 23, 23 }
    --> { 2, 3, 5, 7, 11, 13, 59 }
    --> { 2, 3, 5, 7, 11, 19, 53 }
    --> { 2, 3, 5, 7, 11, 29, 43 }
    --> { 2, 3, 5, 7, 11, 31, 41 }
    --> { 2, 3, 5, 7, 13, 17, 53 }
    --> { 2, 3, 5, 7, 13, 23, 47 }
    --> { 2, 3, 5, 7, 13, 29, 41 }
    --> { 2, 3, 5, 7, 17, 19, 47 }
    --> { 2, 3, 5, 7, 17, 23, 43 }
    --> { 2, 3, 5, 7, 17, 29, 37 }
    --> { 2, 3, 5, 7, 19, 23, 41 }
    --> { 2, 3, 5, 7, 23, 29, 31 }
    --> { 2, 3, 5, 11, 13, 19, 47 }
    --> { 2, 3, 5, 11, 13, 23, 43 }
    --> { 2, 3, 5, 11, 13, 29, 37 }
    --> { 2, 3, 5, 11, 17, 19, 43 }
    --> { 2, 3, 5, 11, 17, 31, 31 }
    --> { 2, 3, 5, 11, 19, 23, 37 }
    --> { 2, 3, 5, 11, 19, 29, 31 }
    --> { 2, 3, 5, 13, 17, 19, 41 }
    --> { 2, 3, 5, 13, 17, 23, 37 }
    --> { 2, 3, 5, 13, 17, 29, 31 }
    --> { 2, 3, 5, 13, 19, 29, 29 }
    --> { 2, 3, 5, 17, 19, 23, 31 }
    --> { 2, 3, 7, 11, 13, 17, 47 }
    --> { 2, 3, 7, 11, 13, 23, 41 }
    --> { 2, 3, 7, 11, 17, 19, 41 }
    --> { 2, 3, 7, 11, 17, 23, 37 }
    --> { 2, 3, 7, 11, 17, 29, 31 }
    --> { 2, 3, 7, 11, 19, 29, 29 }
    --> { 2, 3, 7, 13, 17, 29, 29 }
    --> { 2, 3, 7, 17, 19, 23, 29 }
    --> { 2, 3, 11, 13, 17, 23, 31 }
    --> { 2, 3, 11, 13, 19, 23, 29 }
    --> { 2, 3, 13, 17, 19, 23, 23 }
    --> { 2, 5, 7, 11, 13, 19, 43 }
    --> { 2, 5, 7, 11, 13, 31, 31 }
    --> { 2, 5, 7, 11, 17, 29, 29 }
    --> { 2, 5, 7, 13, 17, 19, 37 }
    --> { 2, 5, 7, 13, 19, 23, 31 }
    --> { 2, 5, 11, 13, 17, 23, 29 }
    --> { 2, 5, 11, 17, 19, 23, 23 }
    --> { 2, 7, 11, 13, 17, 19, 31 }
    --> { 2, 3, 5, 7, 11, 13, 17, 19, 23 }

    If anyone wants the source, I can share it here :D
     
  11. mayjune

    mayjune New Member

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  12. nimesh

    nimesh New Member

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    That's nice.
    Thanks.
     
  13. Seema786

    Seema786 New Member

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    yeah, dat's nice. very good.
     
  14. shabbir

    shabbir Administrator Staff Member

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    You can put the code as an article as well with a bit of explanation.
     
  15. SaswatPadhi

    SaswatPadhi ~ Б0ЯИ Τ0 С0δЭ ~

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    Thanx everyone !! :happy: :happy: :happy: :happy:

    But, my code had a little bug which gave a few (15%) invalid outputs like :
    The bug is fixed now. :) (2day morning)
    And, I will soon post this as an article as shabbir said.

    And BTW, the correct list is here : (198 different unique sets, not 233)

    Code:
    (~) Found 6 ways of expressing 100 as a sum of 2 primes.
    -->  { 3, 97 }
    -->  { 11, 89 }
    -->  { 17, 83 }
    -->  { 29, 71 }
    -->  { 41, 59 }
    -->  { 47, 53 }
    (~) Found 3 ways of expressing 100 as a sum of 3 primes.
    -->  { 2, 19, 79 }
    -->  { 2, 31, 67 }
    -->  { 2, 37, 61 }
    (~) Found 64 ways of expressing 100 as a sum of 4 primes.
    -->  { 3, 5, 13, 79 }
    -->  { 3, 5, 19, 73 }
    -->  { 3, 5, 31, 61 }
    -->  { 3, 7, 11, 79 }
    -->  { 3, 7, 17, 73 }
    -->  { 3, 7, 19, 71 }
    -->  { 3, 7, 23, 67 }
    -->  { 3, 7, 29, 61 }
    -->  { 3, 7, 31, 59 }
    -->  { 3, 7, 37, 53 }
    -->  { 3, 7, 43, 47 }
    -->  { 3, 11, 13, 73 }
    -->  { 3, 11, 19, 67 }
    -->  { 3, 13, 17, 67 }
    -->  { 3, 13, 23, 61 }
    -->  { 3, 13, 31, 53 }
    -->  { 3, 13, 37, 47 }
    -->  { 3, 13, 41, 43 }
    -->  { 3, 17, 19, 61 }
    -->  { 3, 17, 37, 43 }
    -->  { 3, 19, 31, 47 }
    -->  { 3, 19, 37, 41 }
    -->  { 3, 23, 31, 43 }
    -->  { 3, 29, 31, 37 }
    -->  { 5, 7, 17, 71 }
    -->  { 5, 7, 29, 59 }
    -->  { 5, 7, 41, 47 }
    -->  { 5, 11, 13, 71 }
    -->  { 5, 11, 17, 67 }
    -->  { 5, 11, 23, 61 }
    -->  { 5, 11, 31, 53 }
    -->  { 5, 11, 37, 47 }
    -->  { 5, 11, 41, 43 }
    -->  { 5, 13, 23, 59 }
    -->  { 5, 13, 29, 53 }
    -->  { 5, 17, 19, 59 }
    -->  { 5, 17, 31, 47 }
    -->  { 5, 17, 37, 41 }
    -->  { 5, 19, 23, 53 }
    -->  { 5, 19, 29, 47 }
    -->  { 5, 23, 29, 43 }
    -->  { 5, 23, 31, 41 }
    -->  { 7, 11, 23, 59 }
    -->  { 7, 11, 29, 53 }
    -->  { 7, 13, 19, 61 }
    -->  { 7, 13, 37, 43 }
    -->  { 7, 17, 23, 53 }
    -->  { 7, 17, 29, 47 }
    -->  { 7, 19, 31, 43 }
    -->  { 7, 23, 29, 41 }
    -->  { 11, 13, 17, 59 }
    -->  { 11, 13, 23, 53 }
    -->  { 11, 13, 29, 47 }
    -->  { 11, 17, 19, 53 }
    -->  { 11, 17, 29, 43 }
    -->  { 11, 17, 31, 41 }
    -->  { 11, 19, 23, 47 }
    -->  { 11, 19, 29, 41 }
    -->  { 11, 23, 29, 37 }
    -->  { 13, 17, 23, 47 }
    -->  { 13, 17, 29, 41 }
    -->  { 13, 19, 31, 37 }
    -->  { 17, 19, 23, 41 }
    -->  { 17, 23, 29, 31 }
    (~) Found 55 ways of expressing 100 as a sum of 5 primes.
    -->  { 2, 3, 5, 7, 83 }
    -->  { 2, 3, 5, 11, 79 }
    -->  { 2, 3, 5, 17, 73 }
    -->  { 2, 3, 5, 19, 71 }
    -->  { 2, 3, 5, 23, 67 }
    -->  { 2, 3, 5, 29, 61 }
    -->  { 2, 3, 5, 31, 59 }
    -->  { 2, 3, 5, 37, 53 }
    -->  { 2, 3, 5, 43, 47 }
    -->  { 2, 3, 7, 17, 71 }
    -->  { 2, 3, 7, 29, 59 }
    -->  { 2, 3, 7, 41, 47 }
    -->  { 2, 3, 11, 13, 71 }
    -->  { 2, 3, 11, 17, 67 }
    -->  { 2, 3, 11, 23, 61 }
    -->  { 2, 3, 11, 31, 53 }
    -->  { 2, 3, 11, 37, 47 }
    -->  { 2, 3, 11, 41, 43 }
    -->  { 2, 3, 13, 23, 59 }
    -->  { 2, 3, 13, 29, 53 }
    -->  { 2, 3, 17, 19, 59 }
    -->  { 2, 3, 17, 31, 47 }
    -->  { 2, 3, 17, 37, 41 }
    -->  { 2, 3, 19, 23, 53 }
    -->  { 2, 3, 19, 29, 47 }
    -->  { 2, 3, 23, 29, 43 }
    -->  { 2, 3, 23, 31, 41 }
    -->  { 2, 5, 7, 13, 73 }
    -->  { 2, 5, 7, 19, 67 }
    -->  { 2, 5, 11, 23, 59 }
    -->  { 2, 5, 11, 29, 53 }
    -->  { 2, 5, 13, 19, 61 }
    -->  { 2, 5, 13, 37, 43 }
    -->  { 2, 5, 17, 23, 53 }
    -->  { 2, 5, 17, 29, 47 }
    -->  { 2, 5, 19, 31, 43 }
    -->  { 2, 5, 23, 29, 41 }
    -->  { 2, 7, 11, 13, 67 }
    -->  { 2, 7, 11, 19, 61 }
    -->  { 2, 7, 11, 37, 43 }
    -->  { 2, 7, 13, 17, 61 }
    -->  { 2, 7, 13, 19, 59 }
    -->  { 2, 7, 13, 31, 47 }
    -->  { 2, 7, 13, 37, 41 }
    -->  { 2, 7, 17, 31, 43 }
    -->  { 2, 7, 19, 29, 43 }
    -->  { 2, 7, 19, 31, 41 }
    -->  { 2, 7, 23, 31, 37 }
    -->  { 2, 11, 13, 31, 43 }
    -->  { 2, 11, 17, 23, 47 }
    -->  { 2, 11, 17, 29, 41 }
    -->  { 2, 11, 19, 31, 37 }
    -->  { 2, 13, 17, 31, 37 }
    -->  { 2, 13, 19, 23, 43 }
    -->  { 2, 13, 19, 29, 37 }
    (~) Found 34 ways of expressing 100 as a sum of 6 primes.
    -->  { 3, 5, 7, 11, 13, 61 }
    -->  { 3, 5, 7, 11, 31, 43 }
    -->  { 3, 5, 7, 13, 19, 53 }
    -->  { 3, 5, 7, 13, 29, 43 }
    -->  { 3, 5, 7, 13, 31, 41 }
    -->  { 3, 5, 7, 17, 31, 37 }
    -->  { 3, 5, 7, 19, 23, 43 }
    -->  { 3, 5, 7, 19, 29, 37 }
    -->  { 3, 5, 11, 13, 31, 37 }
    -->  { 3, 5, 11, 17, 23, 41 }
    -->  { 3, 5, 13, 17, 19, 43 }
    -->  { 3, 5, 13, 19, 23, 37 }
    -->  { 3, 5, 13, 19, 29, 31 }
    -->  { 3, 7, 11, 13, 19, 47 }
    -->  { 3, 7, 11, 13, 23, 43 }
    -->  { 3, 7, 11, 13, 29, 37 }
    -->  { 3, 7, 11, 17, 19, 43 }
    -->  { 3, 7, 11, 19, 23, 37 }
    -->  { 3, 7, 11, 19, 29, 31 }
    -->  { 3, 7, 13, 17, 19, 41 }
    -->  { 3, 7, 13, 17, 23, 37 }
    -->  { 3, 7, 13, 17, 29, 31 }
    -->  { 3, 7, 17, 19, 23, 31 }
    -->  { 3, 11, 13, 17, 19, 37 }
    -->  { 3, 11, 13, 19, 23, 31 }
    -->  { 5, 7, 11, 13, 17, 47 }
    -->  { 5, 7, 11, 13, 23, 41 }
    -->  { 5, 7, 11, 17, 19, 41 }
    -->  { 5, 7, 11, 17, 23, 37 }
    -->  { 5, 7, 11, 17, 29, 31 }
    -->  { 5, 7, 17, 19, 23, 29 }
    -->  { 5, 11, 13, 17, 23, 31 }
    -->  { 5, 11, 13, 19, 23, 29 }
    -->  { 7, 11, 13, 17, 23, 29 }
    (~) Found 35 ways of expressing 100 as a sum of 7 primes.
    -->  { 2, 3, 5, 7, 11, 13, 59 }
    -->  { 2, 3, 5, 7, 11, 19, 53 }
    -->  { 2, 3, 5, 7, 11, 29, 43 }
    -->  { 2, 3, 5, 7, 11, 31, 41 }
    -->  { 2, 3, 5, 7, 13, 17, 53 }
    -->  { 2, 3, 5, 7, 13, 23, 47 }
    -->  { 2, 3, 5, 7, 13, 29, 41 }
    -->  { 2, 3, 5, 7, 17, 19, 47 }
    -->  { 2, 3, 5, 7, 17, 23, 43 }
    -->  { 2, 3, 5, 7, 17, 29, 37 }
    -->  { 2, 3, 5, 7, 19, 23, 41 }
    -->  { 2, 3, 5, 7, 23, 29, 31 }
    -->  { 2, 3, 5, 11, 13, 19, 47 }
    -->  { 2, 3, 5, 11, 13, 23, 43 }
    -->  { 2, 3, 5, 11, 13, 29, 37 }
    -->  { 2, 3, 5, 11, 17, 19, 43 }
    -->  { 2, 3, 5, 11, 19, 23, 37 }
    -->  { 2, 3, 5, 11, 19, 29, 31 }
    -->  { 2, 3, 5, 13, 17, 19, 41 }
    -->  { 2, 3, 5, 13, 17, 23, 37 }
    -->  { 2, 3, 5, 13, 17, 29, 31 }
    -->  { 2, 3, 5, 17, 19, 23, 31 }
    -->  { 2, 3, 7, 11, 13, 17, 47 }
    -->  { 2, 3, 7, 11, 13, 23, 41 }
    -->  { 2, 3, 7, 11, 17, 19, 41 }
    -->  { 2, 3, 7, 11, 17, 23, 37 }
    -->  { 2, 3, 7, 11, 17, 29, 31 }
    -->  { 2, 3, 7, 17, 19, 23, 29 }
    -->  { 2, 3, 11, 13, 17, 23, 31 }
    -->  { 2, 3, 11, 13, 19, 23, 29 }
    -->  { 2, 5, 7, 11, 13, 19, 43 }
    -->  { 2, 5, 7, 13, 17, 19, 37 }
    -->  { 2, 5, 7, 13, 19, 23, 31 }
    -->  { 2, 5, 11, 13, 17, 23, 29 }
    -->  { 2, 7, 11, 13, 17, 19, 31 }
    (~) Found 1 ways of expressing 100 as a sum of 9 primes.
    -->  { 2, 3, 5, 7, 11, 13, 17, 19, 23 }
    @shabbir:

    Can we have a separate section for submitting source-codes instead of posting them in the articles section ?
    Of course there is no problem with posting them as article, 'coz some explanation is included with the source code; but I think the tutorial articles and source codes get mixed this way.
     
  16. Seema786

    Seema786 New Member

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    great saswat, i have seen your work, it's really good and awesome, also the question you asked is great if we can have source-code section.
     
  17. SaswatPadhi

    SaswatPadhi ~ Б0ЯИ Τ0 С0δЭ ~

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