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

Gandhi71

J. M. Gandhi, Formulae for the Nth prime.  In "Proc. Washington State University Conference on Number Theory," J. H. Jordan and W. A. Webb editors, Department of Mathematics, Washington State University, 1971.  Pullman, Washington, pp. 96--106, MR 48:218

Garciadiego92

A. R. Garciadiego, Bertrand Russell and the origins of the set-theoretic 'paradoxes', Birhäuser-Verlag, Basel, 1992.  pp. xxx+264 pp., ISBN 3-7643-2669-7. MR 94b:01033

Gardner68

M. Gardner, "Mathematical games," Scientific American, 218 (1968) 121--124.

Gardner85

M. Gardner, Magic numbers of Dr. Matrix, Prometheus Books, 1985.  ISBN 0879752823.

GC1969

H. Gabai and D. Coogan, "On palindromes and palindromic primes," Math. Mag., 42 (1969) 252--254.  MR0253979

GH79

E. Grosswald and P. Hagis, Jr., "Arithmetic progression consisting only of primes," Math. Comp., 33:148 (October 1979) 1343--1352.  MR 80k:10054 (Abstract available)

Gillies64

D. B. Gillies, "Three new Mersenne primes and a statistical theory," Math. Comp., 18 (1964) 93--95.  Corrigendum in Math. Comp. 31 (1977), 1051.  MR 28:2990 [The primes are 2¹¹²¹³-1, 2⁹⁹⁴¹-1 and 2⁹⁶⁸⁹-1.]

GK1999

S. Goldwasser and J. Kilian, "Primality testing using elliptic curves," J. ACM, 46:4 (1999) 450--472.  MR 2002e:11182

GK86

S. Goldwasser and J. Kilian, Almost all primes can be quickly certified.  In "STOC'86, Proceedings of the 18th Annual ACM Symposium on the Theory of Computing (Berkeley, CA, 1986)," ACM, New York, NY, May 1986.  pp. 316--329,

GKS1981

Györy, K., Kiss, P. and Schinzel, A., "On Lucas and Lehmer sequences and their applications to Diophantine equations," Colloq. Math., 45:1 (1981) 75--80 (1982).  MR 83g:10009

Gleason1988

A. M. Gleason, "Angle trisection, the heptagon, and the triskaidecagon," Amer. Math. Monthly, 95:3 (1988) 185--194.  MR935432

GLS87

R. K. Guy, C. B. Lacampagne and J. L. Selfridge, "Primes at a glance," Math. Comp., 48 (1987) 183--202.  MR 87m:11008

GM2006

A. Granville and G. Martin, "Prime number races," Amer. Math. Monthly, 113:1 (2006) 1--33.  MR2158415

GO2011

Grau, José Maria and Oller-Marcén, Antonio M., "An ~O(log ²(N)) time primality test for generalized Cullen numbers," Math. Comp., 80:276 (2011) 2315--2323.  (http://dx.doi.org/10.1090/S0025-5718-2011-02489-0) MR 2813363

Golomb76

S. W. Golomb, "Formulas for the next prime," Pacific J. Math., 63 (1976) 401--404.  MR 53:13094

Golomb81

S. W. Golomb, "The evidence for Fortune's conjecture," Math. Mag., 54 (1981) 209--210.  MR 82i:10053

Golomb92

S. W. Golomb, "Probability, information theory, and prime number theory," Discrete Math., 106/107 (1992) 219--229.  MR 93f:94010

Good55

I. J. Good, "Conjectures concerning the Mersenne numbers," Math. Tables Aids Comput., 9 (1955) 120--121.  MR 17,127g

Gordon89

D. M. Gordon, Pseudoprimes on elliptic curves.  In "Th{\'e}orie des nombres," J. M. DeKoninck and C. Levesque editors, de Gruyter, Berlin, 1989.  pp. 290--305, MR 91g:11158

Gostin95

G. B. Gostin, "New factors of Fermat numbers," Math. Comp., 64 (1995) 393--395.  MR 95c:11151

GP2001

A. Granville and C. Pomerance, "Two contradictory conjectures concerning Carmichael numbers," Math. Comp., 71 (2002) 883--908.  MR 1 885 636 (Abstract available)

GP91

D. M. Gordon and C. Pomerance, "The distribution of lucas and elliptic pseudoprimes," Math. Comp., 51:196 (1991) 825--838.  Corrigendum: 60:202 (1993) 877.  MR 92h:11081

GPY2006

D. A. Goldston, J. Pintz and C. Y. Yıldırım, "Primes in tuples. III. On the difference p_n+ν-p_n," Funct. Approx. Comment. Math., 35 (2006) 79--89.  MR 2271608

GPY2009

D. A. Goldston, J. Pintz and C. Y. Yıldırım, "Primes in tuples. I," Ann. of Math. (2), 170:2 (2009) 819--862.  (http://dx.doi.org/10.4007/annals.2009.170.819) MR 2552109

GPY2010

D. A. Goldston, J. Pintz and C. Y. Yıldırım, "Primes in tuples. II," Acta Math., 204:1 (2010) 1--47.  (http://dx.doi.org/10.1007/s11511-010-0044-9) MR 2600432

Grantham2000

J. Grantham, "Frobenius pseudoprimes," Math. Comp., 70 (2001) 873--891.  MR 2001g:11191 (Abstract available)

Grantham97

J. Grantham, "Frobenius pseudoprimes," Ph.D. thesis, University of Georgia, (1997)

Grantham98

J. Grantham, "A probable prime test with high confidence," J. Number Theory, 72 (1998) 32--47.  MR 2000e:11160

Granville1995

A. Granville, "Harald Cram\'er and the distribution of prime numbers," Scand. Actuar. J.,:1 (1995) 12--28.  Harald Cram\'er Symposium (Stockholm, 1993).  MR1349149

Granville1995b

A. Granville, Unexpected irregularities in the distribution of prime numbers.  In "Proceedings of the International Congress of Mathematicians, Vol.\ 1, 2 (Z\"urich, 1994)," Birkhäuser Boston, 1995.  Basel, pp. 388--399, MR1403939

Granville87

A. Granville, "Diophantine equations with varying exponents," Ph.D. thesis, Queen's University in Kingston, (1987)

GRL89

A. Granville, H. J. J. te Riele and J. van de Lune,"Checking the Goldbach conjecture on a vector computer" in Number theory and its applications.  R. A. Mollin editor, Kluwer, Dordrect, 1989.  pp. 423--433,

Grosswald82

E. Grosswald, "Arithmetic progressions that consist only of primes," J. Number Theory, 14 (1982) 9--31.  MR 83k:10081

GT2004a

Green, Ben and Tao, Terence, "The primes contain arbitrarily long arithmetic progressions," Ann. of Math. (2), 167:2 (2008) 481--547.  (http://dx.doi.org/10.4007/annals.2008.167.481) MR 2415379

GT2004b

B. Green and T. Tao, "A bound for progressions of length k in the primes," (2004) Available from http://people.maths.ox.ac.uk/greenbj/papers/back-of-an-envelope.pdf.

GT2006a

Green, Benjamin and Tao, Terence, "Linear equations in primes," Ann. of Math. (2), 171:3 (2010) 1753--1850.  (http://dx.doi.org/10.4007/annals.2010.171.1753) MR 2680398

Gut1950

M. Gut, "Eulersche zahlen und grosser Fermat'sche satz," Comment. Math. Helv., 24 (1950) 73--99.  MR 12,243d

Guy2004

R. K. Guy, Unsolved problems in number theory, Third edition, Problem Books in Mathematics Springer-Verlag, 2004.  New York, pp. xviii+437, ISBN 0-387-20860-7. MR 2076335

Guy88

R. K. Guy, "The strong law of small numbers," Amer. Math. Monthly, 95:8 (1988) 697--712.  MR 90c:11002

Guy94

R. K. Guy, Unsolved problems in number theory, Springer-Verlag, New York, NY, 1994.  ISBN 0-387-94289-0. MR 96e:11002 [An excellent resource! Guy briefly describes many open questions, then provides numerous references. See his newer editions of this text.]

Gyory1982

Györy, K., "On some arithmetical properties of Lucas and Lehmer numbers," Acta Arith., 40:4 (1981/82) 369--373.  MR667047

Gyory2003

Györy, K., "On some arithmetical properties of Lucas and Lehmer numbers. II," Acta Acad. Paedagog. Agriensis Sect. Mat. (N.S.), 30 (2003) 67--73.  Dedicated to the memory of Professor Dr. P\'eter Kiss.  MR2054716