[seqfan] Re: Primes by concatenation

Jack Brennen jfb at brennen.net
Tue Aug 20 20:57:44 CEST 2013


Wouldn't the sequence S go like this?

S=1,3,2,9,5,21,4,7,6,13,10,19,16,27,8,11,15,23,12,17,20,29,
     14,33,26,47,...

which deviates from the sequence below after the 29 term.

After all, 1429 is prime.

On 8/20/2013 11:42 AM, Neil Sloane wrote:
> Nice! I added A228323, A228234. They need more terms.
> Neil
>
>
> On Wed, Aug 14, 2013 at 1:01 PM, Eric Angelini <Eric.Angelini at kntv.be>wrote:
>
>>
>>
>> Hello SeqFans,
>> if I'm not wrong, S is not in the OEIS:
>> -- S starts with a(1)=1 then S is extended with the smallest integer a(n)
>> not yet present in S such that the
>> concatenation < a(n-1); a(n) > or < a(n); a(n-1) >
>> is prime.
>>
>> S=1,3,2,9,5,21,4,7,6,13,10,19,16,27,8,11,15,23,12,17,20,29,32,59,14,...
>>
>> Primes produced by said concatenation  are:
>> 13,23,29,59,521,421,47,67,613,1013,1019,1619,1627,827,811,1511,...
>>
>> I guess S is a permutation of N (1,2,3,4,5,... oo)
>> Best,
>> É.
>>
>>
>>
>>
>>
>>
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>>
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>>
>
>
>




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