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Re: primes of the form (x+1)^p-x^p

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  • David Broadhurst
    ... Here is a simple link to Mike s interesting table: http://tinyurl.com/d3nf9w David
    Message 1 of 22 , May 7, 2009
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      --- In primenumbers@yahoogroups.com,
      "Mike Oakes" <mikeoakes2@...> wrote:

      > I have today uploaded a file containing the results of my search
      > for all primes of this form for 2<=b<=1000, 2<=p<10000, done in
      > the years 2000-2008.

      Here is a simple link to Mike's interesting table:

      http://tinyurl.com/d3nf9w

      David
    • Maximilian Hasler
      ... (Thanks, Mike !) ... Thanks, David! (Remark: These tiny urls are nice, but can be quite annoying when they point to a website that re-arranged its
      Message 2 of 22 , May 7, 2009
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        --- In primenumbers@yahoogroups.com, "David Broadhurst" wrote:
        > --- In primenumbers@yahoogroups.com, "Mike Oakes" wrote:
        > > I have today uploaded a file containing the results of my search
        > > for all primes of this form for 2<=b<=1000, 2<=p<10000, done in
        > > the years 2000-2008.

        (Thanks, Mike !)

        > Here is a simple link to Mike's interesting table:
        > http://tinyurl.com/d3nf9w

        Thanks, David!
        (Remark: These tiny urls are nice, but can be quite annoying when they point to a website that re-arranged its directory structure - with tinyurls ultra-efficient and discreet forwarding system you sometimes can't get the slightest info about where/what you had been pointed to and try to find it "by hand"... [this happened to me a few days ago - but I forgot where & what is was about...])

        OTOH:

        p=2 : A006254 Numbers n such that 2n-1 is prime.

        p=3 : A002504 numbers such that 1+3x(x-1) is (a "cuban") prime.

        p=5 : A121617 Nexus numbers of order 5 (or A022521[n-1] = n^5 - (n-1)^5) are primes.

        p=7 : A121619 Nexus numbers of order 7 (A022523[n-1] = n^7 - (n-1)^7) are primes

        p >= 11 seems not yet there, so Mike could enter his numbers into OEIS, starting there !

        Maximilian, per proxy SOSR
        (Society for On-line Sequence Recovery)
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