Corrected On sequence nXn where x equal 09,18,27,36,45,54,63,72,81,90

Ed Pegg Jr edp at wolfram.com
Mon Feb 23 18:40:59 CET 2004


These are ten numbers in arithmetic progression.

At least one of these numbers will be divisible by 7.

--Ed Pegg Jr

Meeussen Wouter (bkarnd) wrote:

>not within the lowest 10^5 trials:
>test = ToString@{n09n, n18n, n27n, n36n, n45n, n54n, n63n, n72n, n81n, n90n};
> 
>	Select[Range[100000], 
>  		And @@ PrimeQ[ToExpression[StringReplace[test,
>			 "n" -> ToString[#]]]] &]
> returns the empty list
>	{}
>
>W.
>
>(Please, send plaint text)
>
>
>
>-----Original Message-----
>From: Karima MOUSSAOUI [mailto:bouyao at wanadoo.fr]
>Sent: maandag 23 februari 2004 18:16
>To: seqfan at ext.jussieu.fr
>Subject: Corrected On sequence nXn where x equal 09,18,27,36,45,54,63,72,81,90
>
>
>Dear Seqfna,
>Can anyone find n such that n09n, n18n,n27n,n36n,n45n,n54n,n63n,n72n,n81n,n90n, are all primes
>where n09n designe concatenation of (n 09 n) (example 1091 is prime, 310931 is prime)
>Thanks
>M.Bouayoun
>
>
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