# [seqfan] Re: A104851

Charles Greathouse charles.greathouse at case.edu
Mon Feb 6 15:55:29 CET 2012

```In that case you get 2, 71, 8281828459045235360287471, 352...3059 (90
digits), 9218...939 (456 digits), 239...6753 (608 digits), 985...8631
(1421 digits), 382...0327 (1469 digits), ...

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Mon, Feb 6, 2012 at 9:11 AM, Harvey P. Dale <hpd1 at nyu.edu> wrote:
>        Neil may need to clarify the rules for the sequence.  As I understood them, (1) each successive prime must be longer in digit length than its predecessor and (2) each successive prime must begin with the digit immediately following the final digit of its predecessor.  (The second condition means that leading zeroes vanish.)  If those are correct, then 5, 3, and 11 after the 649-digit number Charles found are not proper terms; rather, the next prime after that 649-digit prime would have to begin with 5311802...
>        Can you clarify this Neil?
>        Best,
>        Harvey
>
>
> -----Original Message-----
> From: seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Charles Greathouse
> Sent: Monday, February 06, 2012 8:45 AM
> To: Sequence Fanatics Discussion list
> Subject: [seqfan] Re: A104851
>
> The 649-digit number 18281...0429 seems to be the next term.  Then 5, then 3, then 11, then 80232878250981945581530175671, then 7, then 3, then 61, then 3, then 3, then 2, then 6981125099618188159304169035159888851934580727386673.  The following term has 1872 digits: 8589...14771.
>
> I certified the 649-digit number prime with Primo.  The 1872-digit number is a bit large for that.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
> On Sun, Feb 5, 2012 at 6:28 PM, Ignacio Larrosa Cañestro <ilarrosa at mundo-r.com> wrote:
>> N. J. A. Sloane wrote:
>>>
>>> (If we just require "greater", then we get 2, 7,
>>> 182818284590452353602... and I don't even know the third term)
>>>
>>
>> There isn´t other term within the first 172 decinal digits of e. Checked with Alpertron:
>>
>> http://www.alpertron.com.ar/ECMC.HTM
>>
>> Saludos,
>>
>> Ignacio Larrosa Cañestro
>> A Coruña (España)
>> ilarrosa at mundo-r.com
>> http://www.xente.mundo-r.com/ilarrosa/GeoGebra/
>>
>>
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>>
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```