| Title:
             | 
Sophie Germain little suns (English) | 
| Author:
             | 
Křížek, Michal | 
| Author:
             | 
Somer, Lawrence | 
| Language:
             | 
English | 
| Journal:
             | 
Mathematica Slovaca | 
| ISSN:
             | 
0139-9918 | 
| Volume:
             | 
54 | 
| Issue:
             | 
5 | 
| Year:
             | 
2004 | 
| Pages:
             | 
433-442 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
05C20 | 
| MSC:
             | 
11A07 | 
| MSC:
             | 
11A51 | 
| MSC:
             | 
20K01 | 
| idZBL:
             | 
Zbl 1108.11002 | 
| idMR:
             | 
MR2114614 | 
| . | 
| Date available:
             | 
2009-09-25T14:22:37Z | 
| Last updated:
             | 
2012-08-01 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/129574 | 
| . | 
| Reference:
             | 
[1] AGRAWAL M.-KAYAL N.-SAXENA N.: Primes is in P.Preprint 2002. Zbl 1071.11070 | 
| Reference:
             | 
[2] BRUN V.: Sur les nombres premiers de la forme $ap + b$.Archiv for Mathematik (Christiania) 14 (1917), 1-9. | 
| Reference:
             | 
[3] CARMICHAEL R. D.: Note on a new number theory function.Bull. Amer. Math. Sоc. 16 (1910), 232-238. MR 1558896 | 
| Reference:
             | 
[4] CHASSÉ G.: Applications d'un corps fini dans lui-même.Dissertatiоn, Univ. de Rennes I, 1984. MR 0782298 | 
| Reference:
             | 
[5] CHASSE G.: Combinatorial cycles of a polynomial map over a commutative field.Discrete Math. 61 (1986), 21-26. Zbl 0596.12020, MR 0850926 | 
| Reference:
             | 
[6] HARDY G. H.-LITTLEWOOD J. E.: Some problems of 'partitio numerorum' III: On the expression of a number as a sum of primes.Acta. Math. 44 (1923), 1-70. In: Cоllected Papers оf G. H. Hardу, Vоl. I, Clarendоn Press, Oxfоrd, 1966, pp. 561 630. MR 1555183 | 
| Reference:
             | 
[7] KŘÍŽEK M.-LUCA F.-SOMER L.: 17 Lectures on Fermat Numbers. From Number Theory to Geometry.Springer-Verlag, New York, 2001. Zbl 1010.11002, MR 1866957 | 
| Reference:
             | 
[8] KŘÍŽEK M.-SOMER L.: A necessary and sufficient condition for the primality of Fermat numbers.Math. Bohem. 126 (2001), 541-549. Zbl 0993.11002, MR 1970256 | 
| Reference:
             | 
[9] LUCHETA C.-MILLER E.-REITER C.: Digraphs from powers modulo p.Fibonacci Quart. 34 (1996), 226-239. Zbl 0855.05067, MR 1390409 | 
| Reference:
             | 
[10] ROBERT F.: Discrete Iterations.Springer Ser. Comput. Math. 6, Springer, New York, 1986. Zbl 0639.39005, MR 0846218 | 
| Reference:
             | 
[11] ROGERS T. D.: The graph of the square mapping on the prime fields.Discrete Math. 148 (1996), 317-324. Zbl 0843.05048, MR 1368298 | 
| Reference:
             | 
[12] SOMER L.-KŘÍŽEK M.: On a connection of number theory with graph theory.Czechoslovak Math. J. 54 (2004), 465-485. Zbl 1080.11004, MR 2059267 | 
| Reference:
             | 
[13] SZALAY L.: A discrete iteration in number theory.BDTF Tud. Kozl. 8. Termeszettudomanyok 3, Szombathely, (1992), 71-91. (Hungarian) Zbl 0801.11011 | 
| . |