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

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• ... (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 1 of 22 , May 7, 2009
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> --- 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"...Â [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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