On superpseudoprimes
Mathematica slovaca, Tome 54 (2004) no. 5, pp. 443-451
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11A51
@article{MASLO_2004_54_5_a1,
     author = {Somer, Lawrence},
     title = {On superpseudoprimes},
     journal = {Mathematica slovaca},
     pages = {443--451},
     year = {2004},
     volume = {54},
     number = {5},
     mrnumber = {2114615},
     zbl = {1108.11012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2004_54_5_a1/}
}
TY  - JOUR
AU  - Somer, Lawrence
TI  - On superpseudoprimes
JO  - Mathematica slovaca
PY  - 2004
SP  - 443
EP  - 451
VL  - 54
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_2004_54_5_a1/
LA  - en
ID  - MASLO_2004_54_5_a1
ER  - 
%0 Journal Article
%A Somer, Lawrence
%T On superpseudoprimes
%J Mathematica slovaca
%D 2004
%P 443-451
%V 54
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_2004_54_5_a1/
%G en
%F MASLO_2004_54_5_a1
Somer, Lawrence. On superpseudoprimes. Mathematica slovaca, Tome 54 (2004) no. 5, pp. 443-451. http://geodesic.mathdoc.fr/item/MASLO_2004_54_5_a1/

[1] BANG A. S. : Taltheoretiske undersogelser. Tidsskrift Math. 5 (1886), 70 80, 130-137.

[2] BIRKHOFF G. D.-VANDIVER H. S.: On the integral divisors of $a^n - b^n$. Ann. of Math. (2) 5 (1904), 173-180. | MR

[3] FEHER J.-KISS P.: Note on super pseudoprime numbers. Ann. Univ. Sci. Budapest. Eotvos Sect. Math. 26 (1983), 157-159. | MR | Zbl

[4] JANUSZ G.: Algebraic Number Fields. Academic Press, New York, 1973. | MR | Zbl

[5] JOO I.-PHONG B. M.: On super Lehmer pseudoprimes. Studia Sci. Math. Hungar. 25 (1990), 121-124. | MR | Zbl

[6] KŘÍŽEK M.-LUCA F.-SOMER L.: 17 Lectures on Fermat Numbers: From Number Theory to Geometry. CMS Books Math./Ouvrages Math. SMC 9, Springer-Verlag, New York, 2001. | MR | Zbl

[7] MAKOWSKI A.: On a problem of Rotkiewicz on pseudoprime numbers. Elem. Math. 29 (1974), 13. | MR

[8] MARCUS D.: Number Fields. Springer-Verlag, Berlin-New York, 1977. | MR | Zbl

[9] PHONG B. M.: On super pseudoprimes which are products of three primes. Ann. Univ. Sci. Budapest. Eótvós Sect. Math. 30 (1987), 125-129. | MR | Zbl

[10] PHONG B. M.: On super Lucas and super Lehmer pseudoprimes. Studia Sci. Math. Hungar. 23 (1988), 435-442. | MR | Zbl

[11] POMERANCE C.-SELFRIDGE J. L.-WAGSTAFF S. S.: The pseudoprimes to $25\times 10^9$. Math. Comp. 35 (1980), 1003-1026. | MR

[12] ROTKIEWICZ A.: On the prime factors of the numbers $2^{p-1} - 1$. Glasgow Math. J. 9 (1968), 83-86.

[13] SCHINZEL A.: On primitive prime factors of $a^n - b^n$. Math. Proc. Cambridge Philos. Soc. 58 (1962), 555-562. | MR

[14] SZYMICZEK K.: /: On prime numbers p, q, and r such that pq, pr, and qr are pseudoprimes. Colloq. Math. 13 (1965), 259-263. | MR | Zbl

[15] SZYMICZEK K.: On pseudoprimes which are products of distinct primes. Amer. Math. Monthly 74 (1967), 35-37. | MR | Zbl

[16] ZSIGMONDY K.: Zur Theorie der Potenzreste. Monatsh. Math. 3 (1892), 265-284. | MR