The sum of digits of Mersenne primes












2












$begingroup$


I have problem to calculate the sum of digits of the mersenne primes $M_{57885161}$ , $M_{74207281}$ , and $M_{77232917}$. I'm not a 'computer guy', but I know that the sum of digits of $M_{82589933}$ is $111879913$. Could you help me ? Thanks.










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  • $begingroup$
    I want to test the selfness of these mersenne primes, and therefore we need the sum of digits of these primes
    $endgroup$
    – Barry P
    Apr 11 at 5:15










  • $begingroup$
    $M_{82589933}$ is a self number.
    $endgroup$
    – Barry P
    Apr 11 at 5:16










  • $begingroup$
    Related: (59223)
    $endgroup$
    – Mr.Wizard
    Apr 11 at 8:04
















2












$begingroup$


I have problem to calculate the sum of digits of the mersenne primes $M_{57885161}$ , $M_{74207281}$ , and $M_{77232917}$. I'm not a 'computer guy', but I know that the sum of digits of $M_{82589933}$ is $111879913$. Could you help me ? Thanks.










share|improve this question









New contributor




Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    I want to test the selfness of these mersenne primes, and therefore we need the sum of digits of these primes
    $endgroup$
    – Barry P
    Apr 11 at 5:15










  • $begingroup$
    $M_{82589933}$ is a self number.
    $endgroup$
    – Barry P
    Apr 11 at 5:16










  • $begingroup$
    Related: (59223)
    $endgroup$
    – Mr.Wizard
    Apr 11 at 8:04














2












2








2


1



$begingroup$


I have problem to calculate the sum of digits of the mersenne primes $M_{57885161}$ , $M_{74207281}$ , and $M_{77232917}$. I'm not a 'computer guy', but I know that the sum of digits of $M_{82589933}$ is $111879913$. Could you help me ? Thanks.










share|improve this question









New contributor




Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I have problem to calculate the sum of digits of the mersenne primes $M_{57885161}$ , $M_{74207281}$ , and $M_{77232917}$. I'm not a 'computer guy', but I know that the sum of digits of $M_{82589933}$ is $111879913$. Could you help me ? Thanks.







summation prime-numbers






share|improve this question









New contributor




Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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share|improve this question




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edited Apr 11 at 8:50









user64494

3,60411122




3,60411122






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asked Apr 11 at 5:07









Barry PBarry P

132




132




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Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Barry P is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • $begingroup$
    I want to test the selfness of these mersenne primes, and therefore we need the sum of digits of these primes
    $endgroup$
    – Barry P
    Apr 11 at 5:15










  • $begingroup$
    $M_{82589933}$ is a self number.
    $endgroup$
    – Barry P
    Apr 11 at 5:16










  • $begingroup$
    Related: (59223)
    $endgroup$
    – Mr.Wizard
    Apr 11 at 8:04


















  • $begingroup$
    I want to test the selfness of these mersenne primes, and therefore we need the sum of digits of these primes
    $endgroup$
    – Barry P
    Apr 11 at 5:15










  • $begingroup$
    $M_{82589933}$ is a self number.
    $endgroup$
    – Barry P
    Apr 11 at 5:16










  • $begingroup$
    Related: (59223)
    $endgroup$
    – Mr.Wizard
    Apr 11 at 8:04
















$begingroup$
I want to test the selfness of these mersenne primes, and therefore we need the sum of digits of these primes
$endgroup$
– Barry P
Apr 11 at 5:15




$begingroup$
I want to test the selfness of these mersenne primes, and therefore we need the sum of digits of these primes
$endgroup$
– Barry P
Apr 11 at 5:15












$begingroup$
$M_{82589933}$ is a self number.
$endgroup$
– Barry P
Apr 11 at 5:16




$begingroup$
$M_{82589933}$ is a self number.
$endgroup$
– Barry P
Apr 11 at 5:16












$begingroup$
Related: (59223)
$endgroup$
– Mr.Wizard
Apr 11 at 8:04




$begingroup$
Related: (59223)
$endgroup$
– Mr.Wizard
Apr 11 at 8:04










1 Answer
1






active

oldest

votes


















5












$begingroup$

try this



Total@IntegerDigits[2^57885161 - 1]     



78434761




Total@IntegerDigits[2^74207281 - 1]     



100537543




Total@IntegerDigits[2^77232917 - 1]     



104621260




or use this function



M[x_]:=Total@IntegerDigits[2^x-1]
M[82589933]



111879913







share|improve this answer











$endgroup$














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    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    5












    $begingroup$

    try this



    Total@IntegerDigits[2^57885161 - 1]     



    78434761




    Total@IntegerDigits[2^74207281 - 1]     



    100537543




    Total@IntegerDigits[2^77232917 - 1]     



    104621260




    or use this function



    M[x_]:=Total@IntegerDigits[2^x-1]
    M[82589933]



    111879913







    share|improve this answer











    $endgroup$


















      5












      $begingroup$

      try this



      Total@IntegerDigits[2^57885161 - 1]     



      78434761




      Total@IntegerDigits[2^74207281 - 1]     



      100537543




      Total@IntegerDigits[2^77232917 - 1]     



      104621260




      or use this function



      M[x_]:=Total@IntegerDigits[2^x-1]
      M[82589933]



      111879913







      share|improve this answer











      $endgroup$
















        5












        5








        5





        $begingroup$

        try this



        Total@IntegerDigits[2^57885161 - 1]     



        78434761




        Total@IntegerDigits[2^74207281 - 1]     



        100537543




        Total@IntegerDigits[2^77232917 - 1]     



        104621260




        or use this function



        M[x_]:=Total@IntegerDigits[2^x-1]
        M[82589933]



        111879913







        share|improve this answer











        $endgroup$



        try this



        Total@IntegerDigits[2^57885161 - 1]     



        78434761




        Total@IntegerDigits[2^74207281 - 1]     



        100537543




        Total@IntegerDigits[2^77232917 - 1]     



        104621260




        or use this function



        M[x_]:=Total@IntegerDigits[2^x-1]
        M[82589933]



        111879913








        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Apr 11 at 6:03

























        answered Apr 11 at 5:43









        J42161217J42161217

        4,513324




        4,513324






















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