%S A116151 1,5,23,173,2273,2273,197468,1728998,1728998

[Marc LeBrun]

skipped in the description even though
   x = 1 (mod 2)
   3 = 1 (mod 2)
   3 = 3 (mod 5)
   x = 1 (mod 2)
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Message-ID: <d3dac270704161145h6d37c9der1f75d561a81cec03 at mail.gmail.com>
Date: Mon, 16 Apr 2007 11:45:46 -0700
From: "Max Alekseyev" <maxale at gmail.com>
To: "zak seidov" <zakseidov at yahoo.com>
Subject: Re: %S A116151 1,5,23,173,2273,2273,197468,1728998,1728998
Cc: cbjartli at gmail.com, seqfan at ext.jussieu.fr
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PARI/GP code for first 30 terms:

{ a(n) = lift(chinese(vector(n,i,Mod(if(i==1,1,prime(i-1)),prime(i))))) }

? vector(30,n,a(n))
%1 = [ 1, 5, 23, 173, 2273, 2273, 452723, 6578843, 113275433,
3682761353, 10152454583, 5024164707833, 249908523156563,
5726413266646343, 345878207890067123, 15103232990013860963,
1905274424667036455303, 111502614383457156882293,
932521283899305953765183, 8790842834979573009644273,
10051725785115560870423121293, 498807892976103850677879002933,
55198768937767543284962316423143, 5396489082723284570397442676278943,
1051221132521927518479021097136044583,
224691313635237214719529929388316383373,
5580525693880676515420986217639985733983,
1180836878611216856978040546513560647148273,
219322806874186167087743854850419650760678223,
11408722679588383614218790329733132037760567423 ]

Max

On 4/16/07, zak seidov <zakseidov at yahoo.com> wrote:
> More terms:
>
> %S A116151
> 1,5,23,173,2273,2273,197468,1728998,1728998,447914738,10152454583,1313795640428,97783391392958,
> 5726413266646343,38433316595821418
>
>
> --- zak seidov <zakseidov at yahoo.com> wrote:
>
> > Dear Christian, Seqfans,
> >
> > My version is:
> >
> > %S A116151
> > 1,5,23,173,2273,2273,197468,1728998,1728998
> >
> > ?,
> > Zak
> >
> > %%%%%%%%%%%%%%
> > %I A116151
> > %S A116151 1,5,23,173,2273,2273,452723,6578843
> > %N A116151 a(n) = smallest positive integer x
> > satisfying the system of congruences x = 1 (mod 2),
> > x
> > = 3 (mod 5), x = 5 (mod 7), ..., x = p[n-1] (mod
> > p[n]), where p[n] is the nth prime number and p[0]
> > taken to be 1.
> > %K A116151 nonn,new
> > %O A116151 1,2
> > %A A116151 Christian Bjartli
> > (cbjartli(AT)gmail.com),
> > Apr 14 2007
> >
> >
> > __________________________________________________
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