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Re: [PrimeNumbers] list of bases in which 1st titanic and prime S-W coincide

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  • James Merickel
    The at some point is now! This is nice! Running a program now that only lists bases in which the first non-trivial analogue Smarandache-Wellin prime is
    Message 1 of 2 , Aug 11, 2011
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      The 'at some point' is now! This is nice! Running a program now that only lists bases in which the first non-trivial analogue Smarandache-Wellin prime is also the first titanic with record close to 10^999 indicated by log base 10 in addition, the output so far is

      416,
      1003.415345...
      6271,
      999.000712...

      !!!!!!!!!!!!!
      Jim

      On Thu Aug 11th, 2011 3:42 AM EDT James Merickel wrote:

      >Somebody good can write and run this in less than 5 minutes, but here are the bases in which the first left-to-right prime concatenation of the primes to a certain point exceeds 10^999 through that for which the first titanic is prime:
      >23,33,44,46,56,61,65,75,81,87,101,107,109,116,143,144,149,159,162,169,171,177,191,192,205,217,219,233,240,243,245,247,265,266,273,275,281,290,291,293,297,303,313,317,327,330,332,339,343,348,359,366,369,375,381,386,391,395,401,407,416.
      >The primes through 1459 written in base 416 is both the first such titanic number (actually 1004 digits in its decimal representation, raising a question I will post on at some point) and the first prime in the sequence 2,23,235,2357,... in that base other than 2.
      >Unless somebody gives me reason to stop ("I am going to get further along quicker than you"); I will continue running the base-23 search that becomes less and less likely to pan out (one PARI/GP window), and I will run the same question as here for gigantic as opposed to titanic. If anyone feels this should be in OEIS, btw, go ahead. My name-mention not necessary.
      >Jim
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