Bernoulli numbers and arithmetic progressions
cino hilliard
hillcino368 at hotmail.com
Tue Feb 10 00:52:41 CET 2004
>From: "cino hilliard" <hillcino368 at hotmail.com>
From my last post on this subject.
>1349 90350 2211
>1407 94236 2211
>1448 96983 2211
>472 = first fail from 2211
>29 = number correct
This should be
1349 90350 2211
1407 94236 2211
1448 96983 2211
335 = first fail from 2211
33 = number correct
Sorry.
>bern4(n,p) =
> {
> c=0;
> c2=0;
> c3=0;
> a=vector(n);
> a2=vector(n);
> ak=vector(n);
> for(k=1,n,
> if(numerator(bernfrac(k+k))%p==0,
> c++;
> a[c]=p*k-(p-1)/2;
> ak[c]=k;
> )
> );
> for(x=1,c,
> if(x%3,c2++;a2[c2]=a[x])
> );
> d=a2[2]-a2[1];
> forstep(x=1,c,2,
> d2 =a2[x+1]-a2[x];
> if(a2[x+1]>0 && d==d2,c3++;print(ak[x]" "a[x]" "d2),
> f=a2[x+1]- a2[x];
> break)
> );
> print( f" = first fai from "d);
> print(c3" = number correct")
> }
>
Cino
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