STUDENT PROJECTS IN BONN
 
  In general a Praktikum usually involves getting acquainted with a computer algebra package like Maple and doing some computations with it related to problems in elementary number theory. [If there is interest in a specific field outside number theory and a suitable mathematical guest can be found who is willing to supervise this, this is also possible.] For doing a Praktikum no financial compensation is provided. However, if somebody lives so far away from Bonn that this makes finding a place to stay in Bonn necessary, we usual cover the rent. Due to lack of office place usually the Praktikant has to work on some computer that is in the `free space'. This rarely proves to be a problem. Furthermore, the MPIM does not have a cantine (though a kitchen and microwave is available to warm up some food). However, in the immediate surroundings there are plenty of places where one can get food of all kinds of prices and qualities. For administrative purposes the student is required to bring at some point a formal document involving a picture (passport for example), so that our administration can make a copy. The Praktikant gets also an own computer account. As to working times, we are quite flexible.
 
 

Christine Jost (Dresden) did a Praktikum at MPI during the month March 2005.
She worked on some problems from elementary number theory and wrote a popular account Die liebe Verwandschaft on twin prime numbers. A modified and translated version (joint with Jan van de Craats) of this appeared in the Dutch highschool journal `Pythagoras'.

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Janina Muettel (Bonn) did a six week Praktikum at MPI during February-March 2005.
She worked on some problems from elementary number theory and wrote a popular account Die Riemannsche Vermutung on the Riemann Hypothesis in collaboration with me. A modified and translated version (joint with Jan van de Craats) of this appeared in the Dutch highschool journal `Pythagoras'.
 
 

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Alexander Blessing (Bonn) did a two week Praktikum at MPI in June 2006.
He considered congruence properties of the sequence v(n) with v(n) the number of lines in hypersurfaces of degree 2n-3 in the n-dimensional projective space.

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Pascal Cremer, (16 years), Miriam Haegele (16 years), and Linnea Passing (also 16 years old), did a two week Praktikum at MPI in January 2007.
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Andreas Decker, Alexander Bridi , Patrizia Dressler , Thorge Jensen and Silke Glas did a one-month Praktikum at MPI in August-September 2007. In October 2008 they all start studying at some german universities. Here a picture of the group:
 

  With from left to right: Thorge, Andreas, Patrizia, Pieter, Silke and Alexander.
  They worked on various problems and Andreas, with some help of the others, managed to solve one of those. I slightly improved and shortened his work. The results are published in a note with the title Counting RSA-integers, which will appear in Resultate der Mathematik.
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  In January 2008, 16 year old school boys Lars Holzem, Patrick Robinson , Christoph Lampe and Armend Xhaferi , did a 2 week Praktikum (Patrick 3 weeks). They learned to work with Maple and answered letters of amateurs.
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  In March 2008 Patrick Embgenbroich, did a 1 week Praktikum. Also in the spring of 2008 Jonas Reuters, a first year physics student in Bonn, did a Praktikum.
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  In June 2008 Nadina Baghina, Christian Budde, Benjamin Juettner and Dennis Scully did a Praktikum. Normally they are studying in Bremen, Kleve, Bonn and Bergheim, respectively. They helped me computing tables relevant for constructing counter-examples to the Sister Beiter conjecture.
 

  With from left to right: Dennis, Pieter and Nadina.
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  August/September 2008 Richard Cartwright and Andreas Decker did a Praktikum. They studied the coefficients of divisors of x^n-1. ___________________________________________________________________________________
  In January 2008 Klara-Maria Boegle, Jonas Kaszian, Annette Streicher, Inken Piekenbrock and Nils Solscheid did a Praktikum. Here a picture of the group:
 

  With from left to right: Annette, Klara-Maria, Inken (lower row), Pieter, Jonas and Nils (upper row). ___________________________________________________________________________________
  During their Easter holidays Elena Meyer, Eva Neumann and Nicole Schmidt (from left to right) did a Praktikum.
 

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  August-September: Muriel Lang, Necla Kayaalp, Raluca Havarneanu and Valentin Buciumas (from left to right) did a Praktikum. They looked at a variant of the Erdos-Moser Diophantine equation.