Sophie Germain little suns

Michal Křížek; Lawrence Somer

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 5, page 433-442
  • ISSN: 0232-0525

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Křížek, Michal, and Somer, Lawrence. "Sophie Germain little suns." Mathematica Slovaca 54.5 (2004): 433-442. <http://eudml.org/doc/31859>.

@article{Křížek2004,
author = {Křížek, Michal, Somer, Lawrence},
journal = {Mathematica Slovaca},
keywords = {Sophie Germain prime; Fermat prime; Mersenne prime, Chinese remainder theorem; primality; digraph},
language = {eng},
number = {5},
pages = {433-442},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Sophie Germain little suns},
url = {http://eudml.org/doc/31859},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Křížek, Michal
AU - Somer, Lawrence
TI - Sophie Germain little suns
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 5
SP - 433
EP - 442
LA - eng
KW - Sophie Germain prime; Fermat prime; Mersenne prime, Chinese remainder theorem; primality; digraph
UR - http://eudml.org/doc/31859
ER -

References

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  2. BRUN V., Sur les nombres premiers de la forme a p + b , Archiv for Mathematik (Christiania) 14 (1917), 1-9. (1917) 
  3. CARMICHAEL R. D., Note on a new number theory function, Bull. Amer. Math. Sоc. 16 (1910), 232-238. (1910) MR1558896
  4. CHASSÉ G., Applications d'un corps fini dans lui-même, Dissertatiоn, Univ. de Rennes I, 1984. (1984) MR0782298
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  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. (1923) MR1555183
  7. KŘÍŽEK M.-LUCA F.-SOMER L., 17 Lectures on Fermat Numbers. From Number Theory to Geometry, Springer-Verlag, New York, 2001. Zbl1010.11002MR1866957
  8. KŘÍŽEK M.-SOMER L., A necessary and sufficient condition for the primality of Fermat numbers, Math. Bohem. 126 (2001), 541-549. Zbl0993.11002MR1970256
  9. LUCHETA C.-MILLER E.-REITER C., Digraphs from powers modulo p, Fibonacci Quart. 34 (1996), 226-239. (1996) Zbl0855.05067MR1390409
  10. ROBERT F., Discrete Iterations, Springer Ser. Comput. Math. 6, Springer, New York, 1986. (1986) Zbl0639.39005MR0846218
  11. ROGERS T. D., The graph of the square mapping on the prime fields, Discrete Math. 148 (1996), 317-324. (1996) Zbl0843.05048MR1368298
  12. SOMER L.-KŘÍŽEK M., On a connection of number theory with graph theory, Czechoslovak Math. J. 54 (2004), 465-485. Zbl1080.11004MR2059267
  13. SZALAY L., A discrete iteration in number theory, BDTF Tud. Kozl. 8. Termeszettudomanyok 3, Szombathely, (1992), 71-91. (Hungarian) (1992) Zbl0801.11011

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