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All items with keys beginning with the letter(s): k

Kahan93

S. Kahan, "2--4--6--8 ldots prime gaps that appreciate," J. Recreational Math., 25 (1993) 44-46.

Kanigel1992

R. Kanigel, The man who knew infinity, Pocket Books, 1992.  New York, NY, ISBN 0671750615. MR 92e:01063

Karst1961

E. Karst, "New factors of Mersenne numbers," Math. Comp., 15 (1961) 51.  MR0116481

Karst1962

E. Karst, "Search limits on divisors of Mersenne Numbers," Nordisk Tidskr. Informations-Behandling, 2 (1962) 224--227.  MR0166144

Karst73

E. Karst, Prime factors of Cullen numbers n· 2ⁿ± 1.  In "Number Theory Tables," A. Brousseau editor, Fibonacci Assoc., San Jose, CA, 1973.  pp. 153--163,

Keller83

W. Keller, "Factors of Fermat numbers and large primes of the form k· 2ⁿ +1," Math. Comp., 41 (1983) 661-673.  MR 85b:11117

Keller88

W. Keller, "The least prime of the form k· 2ⁿ + 1 for certain values of k," Abstracts Amer. Math. Soc., 9 (1988) 417--418.

Keller91

W. Keller, "Woher kommen die größten derzeit bekannten Primzahlen?," Mitt. Math. Ges. Hamburg, 12:2 (1991) 211-229.  MR 92j:11006

Keller92

W. Keller, "Factors of Fermat numbers and large primes of the form k· 2ⁿ + 1 ii," Hamburg, (September 1992) Manuscript.

Keller95

W. Keller, "New Cullen primes," Math. Comp., 64 (1995) 1733-1741.  Supplement S39-S46.  MR 95m:11015

Keller98

W. Keller, "Prime solutions p of a^p-1≡ (mod p²) for prime bases a," Abstracts Amer. Math. Soc., 19 (1998) 394.

KLS2001

M. Krízek, F. Luca and L. Somer, 17 lectures on Fermat numbers: from number theory to geometry, CMS Books in Mathematics Vol, 9, Springer-Verlag, New York, NY, 2001.  pp. xvii + 257, ISBN 0-387-95332-9. MR 2002i:11001

Knuth75

D. E. Knuth, The art of computer programming. Volume 1: fundamental algorithms, Addison-Wesley, 1975.  Reading, Mass., pp. xxii+634, 2nd edition, 2nd printing.  MR 51:14624

Knuth81

D. E. Knuth, Seminumerical algorithms, 2nd edition, The Art of Computer Programming Vol, 2, Addison-Wesley, Reading MA, 1981.  MR 83i:68003 [This book is an excellent reference for anyone interested in the basic aspects of programming the algorithms mentioned in these pages. New edition: [Knuth97]]

Knuth97

D. E. Knuth, Seminumerical algorithms, 3rd edition, The Art of Computer Programming Vol, 2, Addison-Wesley, 1997.  Reading MA, [This book is an excellent reference for anyone interested in the basic aspects of programming the algorithms mentioned in these pages.]

Koblitz87

N. Koblitz, A course in number theory and cryptology, Springer-Verlag, 1987.  New York, NY,

Kolata94

G. Kolata, "The assault on 114,381,625,757,888,867,669,235,779,976,146,612,010,218, 296,721,242,362,562,561,842,935,706,935,245,733,897,830,597,123,563,958,705,058, 989,075,147,599,290,026,879,543,541," New York Times, March 22 1994, p.~B5.

Kolata94a

G. Kolata, "100 quadrillion calculations and, Eureka! problem solved," New York Times, April 27 1994, p.~A11.

Kolberg1959

O. Kolberg, "Note on the parity of the partition function," Math. Scand., 7 (1959) 377--378.  MR0117213

Konyagin1999

S. V. Konyagin, "Estimates of the least prime factor of a binomial coefficient," Mathematika, 46:1 (1999) 41--55.  MR1750402

KP89

S. H. Kim and C. Pomerance, "The probability that a random probable prime is composite," Math. Comp., 53 (1989) 721-741.  MR 90e:11190

KP96

S. Konyagin and C. Pomerance, On primes recognizable in deterministic polynomial time.  In "The Mathematics of Paul Erd{\"o}s," Algorithms Combin. Vol, 13, Springer-Verlag, 1996.  Berlin, pp. 176--198, MR 98a:11184

KR98

W. Keller and J. Richstein, "Prime solutions p of a^p-1≡ 1 (mod p²) for prime bases a, II," Abstracts Amer. Math. Soc., (1998) submitted.

KR98a

R. Kumanduri and C. Romero, Number theory with computer applications, Prentice Hall, Upper Saddle River, New Jersey, 1998.

Kra2005

B. Kra, "The Green-Tao theorem on arithmetic progressions in the primes: an ergodic point of view," Bull. Amer. Math. Soc., 43:1 (2006) 3--23 (electronic).  (http://dx.doi.org/10.1090/S0273-0979-05-01086-4) MR 2188173 (Abstract available)

Kraitchik1924

M. Kraitchik, Recherches sur la th'eorie des nombres, W. W. Norton \& Co., Vol, 1, Gauthier-Vilars, 1924.

Kraitchik52

M. Kraitchik, Introduction à la théorie des nombres, Gauthier-Villars, 1952.  Paris, pp. 2, 8.

Kravitz1961

S. Kravitz, "Divisors of Mersenne numbers 10,000<p<15,000," Math. Comp., 15 (1961) 292--293.  MR0123508

Krizek2008

M. Křížek and L. Somer, "Euclidean primes have the minimum number of primitive roots," JP J. Algebra Number Theory Appl., 12:1 (2008) 121--127.  MR2494078

KS2002

N. Kayal and N. Saxena, "Towards adeterministic polynomial-time test," (2002) Available from http://www.cse.iitk.ac.in/research/btp2002/primality.html.