Manfred Toplic


Klagenfurt, Austria
Eastern Longitude: 14 19' 03"
Northern Latitude: 46 36' 50"
440 meters ASL

Astronomy and Mathematics

I am a amateur number theorist and amateur astronomer and member of the Astronomical Society of Carinthia

 

And here is a page of one of my other hobbies: Oldtimer cars


My discovery of

NINE AND TEN CONSECUTIVE PRIMES IN ARITHMETIC PROGRESSION

(The amazing story of the discovery of nine and finally ten CP in AP)


With Yves Gallot 's program Proth.exe (named after Francois Proth ) I am searching for
Proth Primes (Primes of the form: k * 2n + 1) ,
Woodall Primes (Primes of the form: n * 2n - 1 )
and for
Generalized Fermat Primes (Primes of the form: bN + 1 , with b even and N=2n).

The largest I found so far is

5*2^1320487 + 1 (397507 digits)

At the time of the discovery (March 15, 2002) this was the largest known Proth-Prime and the 7th largest known prime.

Other large Proth Primes I found:

5*2^1282755 + 1 (386148 digits)

5*2^819739 + 1 (246766 digits)

 

On September 25, 2000 I found the world's largest known Woodall Prime:

667071*2^667071 - 1 (200815 digits)

References:

Chris Caldwell's The top twenty - WOODALL Primes , Another Prime page by Chris K. Caldwell

Yves Gallot's page The Chronology of Prime Number Records


On 1999 April, 23

10 Palindromic Primes in Arithmetic Progression

have been found.

(Here I was a member of the search team.)

References:

Patrick DeGeest's page Palindromic Primes , 1999 May


On 1999 September, 28

8 Primes in *quadratic* Progression

have been found.

(A sequence of seven Pythagorean triangles, where
(i) the lengths of the hypotenuse and one leg of each triangle are primes,
and
(ii) the hypotenuse is the shorter leg of the next triangle in the chain.)

(Here I was also a member of the search team.)


With Tony Forbes program MFAC.EXE I was searching for a factor of MM61, the

Double-Mersenne Number 2^(2^61 - 1) - 1.


Some years ago I participated in Paul Zimmermann' s ECMNET

I tried to factorize some of the so-called Cunningham composites with ECM (Elliptic curve method).


I also participated in GIMPS (Great Internet Mersenne Prime Search)


There are lots of unused (idle) cpu cycles to spare,
and I'm investing them in science !


Math Pages
Astronomy Pages

Last updated on 2005 August 04, by Manfred Toplic