Primes classification

[Artur]

Dear Seqfans,
Sequence is good but wrong is:
"Wolstenholme in 1862 proof that nominators always are square for each
prime >=5"
should be
Wolstenholme in 1862 prooved that nominators always are divisable by  
square of prime >=5
for Sum_{k=1..p-1} 1/k}

and are divisable by prime >=5
for Sum_{k=1..p-1} 1/k^2} <in Max case 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2  
nominator is 205 and is divisable by 5>

Source: Ribenboim Little Book of Big Primes 2.2.3

I'm apologize for confusion
ARTUR



Dnia 04-01-2007 o 02:01:55 Max A. <maxale at gmail.com> napisał(a):

> On 1/3/07, Artur <grafix at csl.pl> wrote:
>
>> Wolstenholme in 1862 proof that nominators always are square for each
>> prime >=5
>> that mean for A127042={5, 7, 17, 19, 29, 31, 37, 41, 97, 127, 131, 211,
>> 223, 227, 229,...}
>> Sum_{k=1..p-1} 1/k^2} have form a^2/b^2
>
> Something's wrong here.
> E.g.: for p=5 we have
> 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 = 205/144
> but 205 is not a square.
>
> Max