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A few tidbits

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  • James Merickel
    I ve submitted curios on the following little things: 1) The number of primes under 1000 digits that are a concatenation of 3 or a power of 3 and 7 or a power
    Message 1 of 1 , Mar 17, 2011
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      I've submitted curios on the following little things:
      1) The number of primes under 1000 digits that are a concatenation of 3 or a power of 3 and 7 or a power of 7 that are prime such that the alternative concatenation is also prime is 100.  
      2) The first primorial having a string of ten identical digits is 84017#, 84017 being the (2^13)-th prime.
      3) ABRACADABRA produces two emirps, as 1218131412181, 1812141318121, 1182141311821 and 1281131412811 are all prime (and, incidentally, there is only one other prime among the four numbers in bases 2 through 18; and the 9th base beyond 18 in which both 12(18)131412(18)1 and 1(18)214131(18)21 are prime is 60606).
       




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