[seqfan] Re: Sum of the cubes of the digits plus the prime equal the prime squared

[Neil Sloane]

Sum of the cubes of the digits plus the prime is a squared prime which is
the same for three primes???  This strikes me as very contrived.  It does
not seem appropriate for the OEIS.  It might be a good example of what not
to submit.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Sat, Mar 30, 2019 at 10:05 PM Charles Greathouse <
charles.greathouse at case.edu> wrote:

> Sequence fans, Will  Gosnell asked me to forward this message to the list.
> He's trying to add a sequence based on a short list of triples. I believe
> he wants computational assistance with his problem and also I think he's
> not sure what is the best way to format them as a sequence.
>
> ---
>
> Dear  Sequence fan list,  I have 5 sequences on Oeis at present . Charles
> Greathouse  suggested I email you  with the information for this new
> sequence submission I have and that you could be of some assistance in
> having the sequence added to OEIS under my name Gosnell.  This sequence is
> a subsequence of the  sequence that starts  with the prime 17  on my page
> .  I told   Charles that I only  have  4 examples at present  which appear
> in the first 10 thousand terms  in the sequence that starts with 17 on my
> OEIS page.
>
> These  prime triples  have the property that the sum of the cubes of their
> digits  plus the prime all equal the same prime number squared .  The first
> example is ,  242377994591  and 242377994843   and  242377995323.  So when
> you add the  cubes of the digits of these primes and then add the prime
> itself to that quantity  you get  the prime  492319^2  .    The second
> example is    2014665131807   and  2014665132503   and 2014665132521  .
> The root of these  3  is  1419389^2.   The  next example  is  3928629229589
>  and  3928230693  and  3928629230783 . The root of these  is  1982077^2  .
> The next  example is  5027133481449  and 5027133482069   and  5027133482159
>  . the root of these  is 2242127^2.
>
> Professor  Robert Israel at UBC  is aware of this  sequence   and  confirms
>   my  belief that there are many more if not an infinite number of these
> prime triples  in existence . Can you help get this  sequence of prime
>  triples  added to the OEIS?
>
> ---
>
> I've been very busy lately (apologies for my absence, I have been caring
> for my 6-month old daughter and my wife, and also changing jobs) but I
> figure someone can probably find a good way to compute these.
>
> Charles Greathouse
> Path Robotics
>
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>