Needed: gaps between large primes

[Meeussen Wouter (bkarnd)]

bigger than 10^20  
Mathmatica 4.1.1 NumberTheory`NumberTheoryFunctions`NextPrime

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-----Original Message-----
From: N. J. A. Sloane [mailto:njas at research.att.com]
Sent: maandag 3 november 2003 13:40
To: seqfan at ext.jussieu.fr
Cc: njas at research.att.com
Subject: Needed: gaps between large primes



Dear SeqFans,  I got the following message from someone
in Poland - a teacher who needs help. He (I think from
the word endings the author is a man) would like
a list of gaps between successive primes for primes
with 20 digits or more.

Can someone help him?  Let M = 10^20.  Can someone produce
the sequence 

prime(k+1)-prime(k) , k=M..M+100    (say),

and send it to him?  If you can help please post a message here to
avoid duplication of effort - and please send me a copy.

Thanks

Neil Sloane

Here is the message:
Note the  NP  means  prime number, and  ecart  means  difference.



 From matuszyk at ltk.com.pl  Mon Nov  3 07:16:14 2003
Delivered-To: njas at research.att.com
Reply-To: <matuszyk at ltk.com.pl>
From: "Marian Matuszyk" <matuszyk at ltk.com.pl>
To: <njas at research.att.com>
Subject: des differences entre sequencielles nombres premiers
Date: Mon, 3 Nov 2003 13:14:23 +0100


Bonjour Monsieur Professeur,
        Je suis polonais, ingenieur electronicien, instituteur du traitement
numerique a'lyce'e technique, amateur des nombres premiers (NP). Moi avec
mes eleves les plus habiles travaillons entres autres aux nombres premiers.
Dernierement p.ex. nous avons besoin urgent consernant DES ECARTS
(INTERVALLES) ENTRE DES  SUCCESSIFS NP, SURTOUT GRANDS NP. Grands NP, c'est
a' dire, nombres ayants plus que 20 chiffres, jusque'aux 500 chiffres, et
meme plus(!). Ceux ecarts nous mettrons a' profit un programme de diagnostic
de primalite' des nombres; un programme economisant un memoire matricielle.
Nous avons cherche' ce probleme a' l'internet, mais sans succe's. Pour cette
raison je vous M. Professeur prie cordialement causer, que je recevrais ceux
ecarts.

        Veillez agreer, Monieur Professeur, l'expression de mes sentiments
respectueux

                                                       Marian Matuszyk
                                                      (Pologne, Lublin)


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