@book{Hardy&Wright:1985,
	key = "G. Hardy and Wright 1985",
	author = "G. H. Hardy and E. M. Wright",
	title = "An Introduction to the Theory of Numbers",
	edition = "5th",
	publisher = OUP,
	year = 1985}

@book{Riesel:1985a,
	key = "Riesel 1985a",
	author = "H. Riesel",
	title = "Prime Numbers and Computer Methods for Factorization",
	publisher = {Birkh\"{a}user},
	year = "{\noopsort{1985a}}1985",
	note = "Revised edition, 1994"}

@book{Knuth:1969,
	key = "Knuth 1969",
	author = "D. E. Knuth",
	title = "The Art of Computer Programming.  Volume 2:  Seminumerical
Algorithms",
	publisher = AW,
	year = 1969}

@book{Rosen:1984,
	key = "K. Rosen 1984",
	author = "K. H. Rosen",
	title = "Elementary Number Theory and its Applications",
	publisher = AW,
	year = 1984}

@book{Pomerance:1984a,
	key = "Pomerance 1984a",
	author = "C. Pomerance",
	title = "Lecture Notes on Primality Testing and Factoring:
	A Short Course at {Kent} {State} {University}",
	series = "MAA Notes",
	publisher = MAA,
	volume = 4,
	year = 1984}

@book{Kranakis:1986,
	key = "Kranakis 1986",
	author = "E. Kranakis",
	title = "Primality and Cryptography",
	publisher = "Wiley",
	year = 1986}

@book{Shanks:1978,
	key = "Shanks 1978",
	author = "D. Shanks",
	title = "Solved and Unsolved Problems in Number Theory",
	publisher = "Chelsea Publishing Company",
	year = 1978,
	edition = "2nd"}

@book{Shanks:1985,
	key = "Shanks 1985",
	author = "D. Shanks",
	title = "Solved and Unsolved Problems in Number Theory",
	publisher = "Chelsea Publishing Company",
	year = 1985,
	edition = "3rd"}

@book{LeVeque:1977,
	key = "LeVeque 1977",
	author = "W. J. LeVeque",
	title = "Fundamentals of Number Theory",
	publisher = AW,
	year = 1977}

@book{Guy:1994,
	key = "Guy 1994",
	author = "R. K. Guy",
	title = "Unsolved Problems in Number Theory",
	series = "Unsolved Problems in Intuitive Mathematics",
	volume = "I",
	publisher = SV,
	year = 1994,
	edition = "2nd"}

@book{Sierpinski:1964a,
	key = "{Sierpi\'nski} 1964",
	author = "W. Sierpi\'nski",
	title = "Elementary Theory of Numbers",
	publisher = "Pa\'nstwowe Wydawnictwo Naukowe",
	year = 1964}
	
@incollection{Lehmer:1969,
	key = "D. H. Lehmer 1969",
	author = "D. H. Lehmer",
	title = "Computer technology applied to the theory of numbers",
	booktitle = "Studies in Number Theory",
	editor = "W. J. LeVeque",
	publisher = "Mathematical Association of America",
	year = 1969,
	pages = "117-151"}

@incollection{Lehmer:1971,
	key = "D. H. Lehmer 1971",
	author = "D. H. Lehmer",
	title = "The economics of number theoretic computation",
	booktitle = "Computers in Number Theory",
	editor = "A. O. L. Atkin and Birch, B. J.",
	publisher = AP,
	year = 1971,
	pages = "1-9"}

@article{Wilf:1982,
	key = "Wilf 1982",
	author = "H. S. Wilf",
	title = "What is an answer?",
	journal = AMM,
	volume = 89,
	year = 1982,
	pages = "289-292"}

@article{Welsh:1983,
	key = "Welsh 1983",
	author = "D. J. A. Welsh",
	title = "Randomised algorithms",
	journal = DAM,
	volume = 5,
	year = 1983,
	pages = "133-145"}

@techreport{Angluin:1982,
	key = "Angluin 1982",
	author = "D. Angluin",
	title = "Lecture notes on the complexity of some problems
	in number theory",
	institution = "Yale University, Department of Computer Science",
	number = 243,
	month = "August",
	year = 1982}
	
@article{Dixon:1984,
	key = "Dixon 1984",
	author = "J. D. Dixon",
	title = "Factorization and primality tests",
	journal = AMM,
	volume = 91,
	year = 1984,
	pages = "333-352"}

@techreport{Lenstra&Lenstra:1987,
	key = "A. K. Lenstra and Lenstra 1987",
	author = "A. K. Lenstra and Lenstra, Jr., H. W.",
	title = "Algorithms in number theory",
	institution = "University of Chicago, Department of Computer Science",
	number = "87-008",
	month = "May",
	year = 1987}

@incollection{Lenstra&Lenstra:1990,
	key = "A. K. Lenstra and Lenstra 1990",
	author = "A. K. Lenstra and Lenstra, Jr., H. W.",
	title = "Algorithms in number theory",
	booktitle = "Handbook of Theoretical Computer Science, Vol. A:
Algorithms and Complexity",
	editor = "Leeuwen, J. van",
	year = 1990,
	pages = "673-715",
	publisher = "Elsevier and The MIT Press"}

@inproceedings{Adleman&McCurley:1986,
	key = "Adleman and McCurley 1986",
	author = "L. M. Adleman and K. S. McCurley",
	title = "Open problems in number theoretic complexity",
	booktitle = "Discrete Algorithms and Complexity",
	organization = "Proc. of the Japan-US Joint Seminar",
	publisher = "Academic Press",
	editor = "{Johnson et al.}, D. S.",
	year = 1986,
	pages = "237-262"}

@incollection{Adleman&McCurley:1994,
	key = "Adleman and McCurley 1994",
	author = "L. M. Adleman and K. S. McCurley",
	title = "Open problems in number theoretic complexity, {II}",
	booktitle = ANTS1,
	editor = "L. M. Adleman and M.-D. Huang",
	series = LNICS,
	volume = 877,
	publisher = SV,
	year = 1994,
	pages = "291-322"}


@article{Woll:1987,
	key = "Woll 1987",
	author = "H. Woll",
	title = "Reductions among number theoretic problems",
	journal = IC,
	volume = 72,
	year = 1987,
	pages = "167-179"}

@article{Rosser&Schoenfeld:1962,
	key = "Rosser and Schoenfeld 1962",
	author = "J. B. Rosser and L. Schoenfeld",
	title = "Approximate formulas for some functions of prime numbers",
	journal = "Ill. J. Math.",
	volume = 6,
	year = 1962,
	pages = "64-94"}

@article{Rosser&Schoenfeld:1975,
	key = "Rosser and Schoenfeld 1975",
	author = "J. B. Rosser and L. Schoenfeld",
	title = "Sharper bounds for the {Chebyshev} functions
$\theta(x)$ and $\psi(x)$",
	journal = MC,
	volume = 29,
	year = 1975,
	pages = "243-269"}

@article{Schoenfeld:1976,
	key = "Schoenfeld 1976",
	author = "L. Schoenfeld",
	title = "Sharper bounds for the {Chebyshev} functions
$\theta(x)$ and $\psi(x)$. {II}",
	journal = MC,
	volume = 30,
	year = 1976,
	pages = "337-360",
	note = "Corrigenda in {\it Math. Comp.} {\bf 30} (1976), 900"}

@techreport{Spearman&Williams:1975,
	key = "Spearman and Williams 1975",
	author = "B. Spearman and K. S. Williams",
	title = "Handbook of estimates in the theory of numbers",
	type = "Carleton Mathematical Lecture Note",
	institution = "Carleton University",
	number = 14,
	year = 1975}

@book{Bach:1985,
	key = "Bach 1985",
	author = "E. Bach",
	title = "Analytic Methods in the Analysis and Design of
		 Number-theoretic Algorithms",
	publisher = MIT,
	year = 1985}

@book{Zimmer:1972,
	key = "Zimmer 1972",
	author = "H. G. Zimmer",
	title = "Computational Problems, Methods, and Results in
	Algebraic Number Theory",
	series = LNIM,
	volume = 262,
	publisher = SV,
	year = 1972}

@book{Ribenboim:1988b,
	key = "Ribenboim 1988b",
	author = "P. Ribenboim",
	title = "The Book of Prime Number Records",
	publisher = SV,
	year = "{\noopsort{1988b}}1988"}

@book{Hodges:1983,
	key = "Hodges 1983",
	author = "A. Hodges",
	title = "Alan {Turing}:  the {Enigma}",
	publisher = SSCHU,
	year = 1983}

@book{Bell:1951,
	key = "Bell 1951",
	author = "E. T. Bell",
	title = "Mathematics:  Queen and Servant of Science",
	publisher = "G. Bell \& Sons",
	year = 1951}

@article{Williams:1982a,
	key = "H. Williams 1982a",
	author = "H. C. Williams",
	title = "The influence of computers in the development of number
theory",
	journal = CMA,
	year = "{\noopsort{1982a}}1982",
	volume = 8,
	pages = "75-93"}

@incollection{Albert:1941,
	key = "Albert 1941",
	author = "A. A. Albert",
	title = "Some mathematical aspects of cryptography",
	booktitle = "A. Adrian Albert:  Collected Mathematical Papers",
	year = "{\noopsort{1941}}1993",
	editor = "R. E. Block and N. Jacobson and J. M. Osborn and D. J. Saltman and D. Zelinsky",
	publisher = AMS,
	pages = "903-920",
	note = "Invited address to the Manhattan, Kansas meeting of the
American Mathematical Society, November 22, 1941"}

@article{Lucas:1876a,
	key = "Lucas 1876a",
	author = "E. Lucas",
	title = "Note sur l'application des s\'eries r\'ecurrents \`a
la recherche de la loi de distribution des nombres premiers",
	journal = CRASP,
	volume = 89,
	year = "{\noopsort{1876a}}1876",
	pages = "165-167"}

@article{Ferrier:1952,
	key = "Ferrier 1952",
	author = "A. Ferrier",
	title = "The determination of a large prime",
	journal = MTAC,
	volume = 6,
	year = 1952,
	pages = "256"}

@article{Pocklington:1910,
	key = "Pocklington 1910",
	author = "H. C. Pocklington",
	title = "The determination of the exponent to which a number
belongs, the practical solution of certain congruences, and the law
of quadratic reciprocity",
	journal = PCPS,
	volume = 16,
	year = 1910,
	pages = "1-5"}

@article{Edmonds:1965,
	key = "Edmonds 1965",
	author = "J. Edmonds",
	title = "Paths, trees, and flowers",
	journal = "Canadian J. Math.",
	volume = 17,
	year = 1965,
	pages = "449-467"}

@incollection{Cobham:1964,
	key = "Cobham 1964",
	author = "A. Cobham",
	title = "The intrinsic computational difficulty of functions",
	booktitle = "Logic, Methodology, and Philosophy of Science",
	editor = "Y. Bar-Hillel",
	publisher = "North-Holland",
	year = 1964,
	pages = "24-30"}

@incollection{Lehmer:1974,
	key = "D. H. Lehmer 1974",
	author = "D. H. Lehmer",
	title = "The influence of computing on research in number theory",
	booktitle = "The Influence of Computing on Mathematical Research
and Education",
	series = PSAM,
	volume = 20,
	year = 1974,
	publisher = AMS,
	editor = "J. P. LaSalle",
	pages = "3-12"}

@incollection{ELehmer:1956,
	key = "E. Lehmer 1956",
	author = "E. Lehmer",
	title = "Number theory on the {SWAC}",
	series = PSAM,
	booktitle = "Numerical Analysis",
	volume = 6,
	year = 1956,
	pages = "103-108"}

@incollection{Taussky:1956,
	key = "Taussky 1956",
	author = "O. Taussky",
	title = "Some computational problems in algebraic number theory",
	series = PSAM,
	booktitle = "Numerical Analysis",
	volume = 6,
	year = 1956,
	pages = "187-193"}

@book{DNLehmer:1909,
	key = "D. N. Lehmer 1909",
	author = "D. N. Lehmer",
	title = "Factor Table for the First Ten Millions",
	publisher = "Carnegie Institute of Washington",
	series = "Publication No. 105",
	year = 1909,
	address = "Washington, D. C.",
	note = "Reprinted by Hafner, New York, 1956"}

@book{DNLehmer:1914,
	key = "D. N. Lehmer 1914",
	author = "D. N. Lehmer",
	title = "List of Prime Numbers from 1 to 10,006,721",
	publisher = "Carnegie Institute of Washington",
	series = "Publication No. 165",
	year = 1914,
	address = "Washington, D. C.",
	note = "Reprinted by Hafner, New York, 1956.
Errata can be found in {\it Bull. Amer. Math. Soc.} {\bf 38} (1932) 902;
{\it Math. Tables Aids Comput.} {\bf 11} (1957) 272-273;
{\it Math. Comp.} {\bf 20} (1966) 642;
and {\it Math. Comp.} {\bf 29} (1975) 341"}

@incollection{Lehmer:1968,
	key = "D. H. Lehmer 1968",
	author = "D. H. Lehmer",
	booktitle = "Computers in Mathematical Research",
	title = "Machines and pure mathematics",
	editor = "R. F. Churchhouse and J.-C. Herz",
	publisher = NH,
	year = 1968,
	pages = "1-7"}

@article{Lehmer:1973,
	key = "D. H. Lehmer 1973",
	author = "D. H. Lehmer",
	title = "The economics of quadratic form calculations",
	journal = JNT,
	volume = 5,
	year = 1973,
	pages = "544-545"}

@article{Lehmer:1934,
	key = "D. H. Lehmer 1934",
	author = "D. H. Lehmer",
	title = "A machine for combining sets of linear congruences",
	journal = MA,
	volume = 109,
	year = "1934",
	pages = "661-667"}

@article{Odlyzko&teRiele:1985,
	key = "Odlyzko and te Riele 1985",
	author = "A. M. Odlyzko and te Riele, H. J. J.",
	title = "Disproof of the {Mertens} conjecture",
	journal = JFRAM,
	volume = 357,
	year = 1985,
	pages = "138-160"}

@article{Lander&Parkin:1967a,
	key = "Lander and Parkin 1967a",
	author = "L. J. Lander and T. R. Parkin",
	title = "A counterexample to {Euler's} sum of powers conjecture",
	journal = MC,
	volume = 21,
	year = "{\noopsort{1967a}}1967",
	pages = "101-103"}

@book{Bressoud:1989,
	key = "Bressoud 1989",
	author = "D. M. Bressoud",
	title = "Factorization and Primality Testing",
	publisher = SV,
	year = 1989}

@book{Koblitz:1987a,
	key = "Koblitz 1987a",
	author = "N. Koblitz",
	title = "A Course in Number Theory and Cryptography",
	publisher = SV,
	year = "{\noopsort{1987a}}1987"}

@article{Lehmer:1964,
	key = "D. H. Lehmer 1964",
	author = "D. H. Lehmer",
	title = "On a problem of {St\"ormer}",
	journal = IJM,
	volume = 8,
	year = 1964,
	pages = "57-79"}

@book{CohnH:1980,
	key = "H. Cohn 1980",
	author = "H. Cohn",
	title = "Advanced Number Theory",
	publisher = "Dover",
	year = 1980}

@book{Weil:1984,
	key = "Weil 1984",
	author = "A. Weil",
	title = "Number Theory:  an Approach Through History; from
Hammurapi to Legendre",
	publisher = BB,
	year = 1984}

@book{Dickson:1919,
	key = "Dickson 1919",
	author = "L. E. Dickson",
	title = "History of the Theory of Numbers",
	volume = "I:  Divisibility and Primality",
	year = 1919,
	publisher = "Carnegie Institute of Washington, Publication No. 256",
	note = "Reprinted by Chelsea, New York, 1971"}

@book{Hindenburg:1776,
	key = "Hindenburg 1776",
	author = "C. F. Hindenburg",
	title = "Beschreibung einer ganz neuen Art nach einem bekannten
{Gesetze} fortgehende {Zahlen} durch {Abz\"ahlen} oder {Abmessen} bequem u.
sicher zu finden.  {Nebst Anwendung der Methode} auf verschiedene {Zahlen},
besonders auf eine darnach zu fertigende {Factorentafel} ...,",
	address = "Leipzig",
	year = 1776}

@book{Goldstine:1972,
	key = "Goldstine 1972",
	author = "H. H. Goldstine",
	title = "The Computer from {Pascal} to von {Neumann}",
	publisher = PUP,
	year = 1972}

@book{Fermat:1894,
	key = "Fermat 1894",
	author = "P. Fermat",
	title = "Oeuvres",
	publisher = "Gauthier-Villars",
	address = "Paris",
	year = 1894}

@book{Euler:1849,
	key = "Euler 1849",
	author = "L. Euler",
	title = "Commentationes Arithmeticae Collectae",
	volume = 1,
	year = 1849}

@book{Mersenne:1644,
	key = "Mersenne 1644",
	author = "M. Mersenne",
	title = "Cogitata Physico Mathematica",
	address = "Paris",
	year = 1644}

@book{Jevons:1874,
	key = "Jevons 1874",
	author = "W. S. Jevons",
	title = "Principles of Science",
	publisher = "Macmillan \& Co.",
	address = "London",
	year = 1874}

@book{Smith:1859,
	key = "H. J. S. Smith 1859",
	author = "H. J. S. Smith",
	title = "Report on the Theory of Numbers, Part I",
	publisher = "British Association",
	year = "1859",
	note = "Reprinted by Chelsea, New York, 1965"}

@book{Smith:1860,
	key = "H. J. S. Smith 1860",
	author = "H. J. S. Smith",
	title = "Report on the Theory of Numbers, Part II",
	publisher = "British Association",
	year = "1860",
	note = "Reprinted by Chelsea, New York, 1965"}

@article{Elkies:1988,
	key = "Elkies 1988",
	author = "N. D. Elkies",
	title = "On ${A^4 + B^4 + C^4 = D^4}$",
	journal = MC,
	volume = 51,
	year = 1988,
	pages = "825-835"}

@book{Randell:1982,
	key = "Randell 1982",
	editor = "B. Randell",
	title = "The Origins of Digital Computers",
	publisher = SV,
	year = 1982,
	note = "3rd edition"}

@book{Gardner:1982,
	key = "Gardner 1982",
	author = "M. Gardner",
	title = "Logic Machines and Diagrams",
	publisher = UCP,
	year = 1982}

@article{Debnath:1982,
	key = "Debnath 1982",
	author = "L. Debnath",
	title = "Some recent results of number theory discovered with
electronic computers",
	journal = "Int. J. Math. Educ. Sci. Technol.",
	year = 1982,
	volume = 13,
	pages = "603-617"}

@incollection{Lehmer:1963,
	key = "D. H. Lehmer 1963",
	author = "D. H. Lehmer",
	title = "Automation and pure mathematics",
	booktitle = "Applications of Digital Computers",
	editor = "W. F. Freiberger and W. Prager",
	publisher = "Ginn and Company",
	address = "Boston",
	year = 1963,
	pages = "219-231"}

@article{Harkin:1957,
	key = "Harkin 1957",
	author = "D. Harkin",
	title = "On the mathematical work of {Fran\c cois-\'Edouard-Anatole
Lucas}",
	journal = EM,
	volume = 3,
	year = 1957,
	pages = "276-288"}

@article{Gerth:1987,
	key = "Gerth 1987",
	author = "{Gerth, III}, F.",
	title = "Extension of conjectures of {Cohen} and {Lenstra}",
	journal = EXM,
	volume = 5,
	year = 1987,
	pages = "181-184"}

@article{Cohen&Martinet:1987,
	key = "H. Cohen and Martinet 1987",
	author = "H. Cohen and J. Martinet",
	title = "Class groups of number fields:  numerical heuristics",
	journal = MC,
	volume = 48,
	year = 1987,
	pages = "123-137"}

@article{Washington:1986,
	key = "Washington 1986",
	author = "L. C. Washington",
	title = "Some remarks on {Cohen-Lenstra} heuristics",
	journal = MC,
	volume = 47,
	year = 1986,
	pages = "741-747"}

@incollection{Cohen&Lenstra:1984b,
	key = "H. Cohen and H. W. Lenstra 1984b",
	author = "H. Cohen and Lenstra, Jr., H. W.",
	title = "Heuristics on class groups of number fields",
	booktitle = "Number Theory, Noordwijkerhout 1983",
	editor = "H. Jager",
	publisher = SV,
	year = 1984,
	series = LNIM,
	volume = 1068,
	pages = "33-62"}

@incollection{Cohen&Lenstra:1984a,
	key = "H. Cohen and H. W. Lenstra 1984a",
	author = "H. Cohen and Lenstra, Jr., H. W.",
	title = "Heuristics on class groups",
	booktitle = "Number Theory (New York, 1982)",
	editor = "D. V. Chudnovsky",
	publisher = SV,
	year = 1984,
	series = LNIM,
	volume = 1052,
	pages = "26-36"}

@article{Birch&Swinnerton-Dyer:1963,
	key = "Birch and Swinnerton-Dyer 1963",
	author = "B. J. Birch and H. P. F. Swinnerton-Dyer",
	title = "Notes on elliptic curves {I}",
	journal = JFRAM,
	volume = 212,
	year = 1963, 
	pages = "7-25"}

@article{Birch&Swinnerton-Dyer:1965,
	key = "Birch and Swinnerton-Dyer 1965",
	author = "B. J. Birch and H. P. F. Swinnerton-Dyer",
	title = "Notes on elliptic curves {II}",
	journal = JFRAM,
	volume = 218,
	year = 1965, 
	pages = "79-108"}

@book{Dooge&Robbins&Karpinski:1926,
	key = "{D'ooge}, Robbins, and Karpinski 1926",
	author = "M. L. {D'ooge} and F. E. Robbins and L. C. Karpinksi",
	title = "Nicomachus of Gerasa",
	publisher = "Macmillan",
	address = "London",
	year = 1926}

@book{Feller:1968,
	key = "Feller 1968",
	author = "W. Feller",
	title = "An Introduction to Probability Theory and its Applications",
	publisher = "Wiley",
	volume = 1,
	address = NY,
	edition = "3rd",
	year = 1968}

@book{Feller:1971,
	key = "Feller 1971",
	author = "W. Feller",
	title = "An Introduction to Probability Theory and its Applications",
	volume = 2,
	publisher = "Wiley",
	address = NY,
	edition = "2nd",
	year = 1971}

@book{Gauss:1801,
	key = "Gauss 1801",
	author = "C. F. Gauss",
	title = "Disquisitiones Arithmeticae",
	year = 1801,
	address = "Leipzig",
	publisher = "G. Fleischer",
	note = "English translation by A. A. Clarke, Springer-Verlag, 1986"}

@book{Herstein:1975,
	key = "Herstein 1975",
	author = "I. N. Herstein",
	title = "Topics in Algebra",
	publisher = "Wiley",
	address = NY,
	edition = "2nd",
	year = "1975"}

@article{Lilley:1942,
	key = "Lilley 1942",
	author = "S. Lilley",
	title = "Mathematical Machines",
	journal = "Nature",
	volume = 149,
	year = 1942,
	pages = "462-465"}

@article{Boys:1901,
	key = "Boys 1901",
	author = "C. V. Boys",
	title = "The comptometer",
	journal = "Nature",
	volume = 64,
	year = 1901,
	pages = "265-268"}

@book{Lehmer:1941,
	key = "D. H. Lehmer 1941",
	author = "D. H. Lehmer",
	title = "Guide to Tables in the Theory of Numbers",
	publisher = "National Research Council, National Academy of Sciences",
	address = "Washington, D. C.",
	year = "1941"}

@book{Aho&Hopcroft&Ullman:1974,
	key = "Aho, Hopcroft, and Ullman 1974",
	author = "A. Aho and J. Hopcroft and J. Ullman",
	title = "The Design and Analysis of Computer Algorithms",
	publisher = "Addison-Wesley",
	address = "Reading, Massachusetts",
	year = "1974"}

@incollection{Swinnerton-Dyer:1967,
	key = "Swinnerton-Dyer 1967",
	author = "P. Swinnerton-Dyer",
	title = "The use of computers in number theory",
	editor = "J. T. Schwartz",
	booktitle = "Mathematical Aspects of Computer Science, 1966",
	series = PSAM,
	volume = 19,
	year = 1967,
	publisher = AMS,
	pages = "111-116"}

@article{Godel:1931,
	key = "{G\"odel} 1931",
	author = "K. {G\"odel}",
	title = "{{\"Uber} formal unentscheidbare {S\"atze} der
{Principia} {Mathematica} und verwandter {Systeme I}}",
	journal = MMP,
	volume = 38,
	year = 1931,
	pages = "173-198",
	note = "English translation in M. Davis [1965], pp. 4--38"}

@article{Church:1932,
	key = "Church 1932",
	author = "A. Church",
	title = "A set of postulates for the foundation of logic",
	journal = AM,
	volume = 33,
	year = 1932,
	pages = "346-366"}

@article{Church:1933,
	key = "Church 1933",
	author = "A. Church",
	title = "A set of postulates for the foundation of logic
(second paper)",
	journal = AM,
	volume = 34,
	year = 1933,
	pages = "839-864"}

@incollection{Churchhouse:1988a,
	key = "Churchhouse 1988a",
	author = "R. F. Churchhouse",
	title = "Computers in number theory",
	booktitle = "Proceedings, 1987 CERN School of Computing",
	publisher = "CERN",
	address = "Geneva, Switzerland",
	editor = "C. Verkerk",
	year = 1988,
	pages = "357-377"}
	
@book{Hardy:1940a,
	key = "G. Hardy 1940a",
	author = "G. H. Hardy",
	title = "A {Mathematician's} Apology",
	publisher = CUP,
	year = "{\noopsort{1940a}}1940"}

@incollection{Cohen:1979,
	key = "H. Cohen 1979",
	author = "H. Cohen",
	title = "{Arithm\'etique} et informatique",
	booktitle = "{Journ\'ees} {Arithm\'etiques} de Luminy",
	series = ASTER,
	volume = 61,
	year = 1979,
	publisher = SMF,
	pages = "57-61"}

@incollection{Churchhouse:1988b,
	key = "Churchhouse 1988b",
	author = "R. F. Churchhouse",
	title = "Some recent discoveries in number theory and analysis
made by the use of a computer",
	booktitle = "Computers in Mathematical Research",
	editor = "N. M. Stephens and M. P. Thorne",
	publisher = "Clarendon Press",
	address = "Oxford",
	year = 1988,
	pages = "1-14"}

@book{Legendre:1798,
	key = "Legendre 1798",
	author = "A.-M. Legendre",
	title = "Essai sur la Th\'eorie des Nombres",
	address = "Paris",
	publisher = "Duprat",
	year = 1798}

@book{Cunningham&Woodall:1925,
	key = "Cunningham and Woodall 1925",
	author = "A. J. C. Cunningham and H. J. Woodall",
	title = "Factorisation of $y^n \mp 1, y = 2,3,5,6,7,10,11,12$ up
to High Powers $(n)$",
	publisher = "Hodgson",
	address = "London",
	year = 1925}

@book{Lehmer:1981,
	key = "D. H. Lehmer 1981",
	author = "D. H. Lehmer",
	title = "Selected Papers of {D. H. Lehmer}",
	publisher = "Charles Babbage Research Centre",
	address = "St. Pierre, Manitoba",
	year = 1981,
	note = "3 volumes"}

@book{Robinson:1940,
	key = "Robinson 1940",
	author = "R. M. Robinson",
	title = "Stencils for Solving $x^2 \equiv a$ {\rm (mod} $m${\rm )}",
	publisher = "University of California Press",
	year = 1940,
	address = "Berkeley"}

@book{Lambert:1785,
	key = "Lambert 1785",
	author = "J. H. Lambert",
	title = "Joh. {Heinrich} {Lamberts} ehemaligen {K\"onigl.} {Preuss.}
{Oberbaurathes} und ordentl. {Mitgliedes} der {K\"onigl.} {Academie} der
{Wissenschaften} zu {Berlin} \&c. deutscher gelehrter {Briefwechsel},
herausgegeben von {Joh.} {Bernoulli}, {Volume 5}",
	publisher = "Bey dem Herausgeber",
	address = "Berlin",
	year = 1785}

@article{Tanaka:1980,
	key = "Tanaka 1980",
	author = "M. Tanaka",
	title = "A numerical investigation on cumulative sum of the {Liouville}
function",
	journal = TJM,
	volume = 3,
	year = 1980,
	pages = "187-189"}

@article{Turing:1945,
	key = "Turing 1945",
	author = "A. M. Turing",
	title = "A method for the calculation of the zeta-function",
	journal = PLMS,
	volume = 48,
	year = 1945,
	pages = "180-197"}

@article{Turing:1953,
	key = "Turing 1953",
	author = "A. M. Turing",
	title = "Some calculations of the {Riemann} zeta-function",
	journal = PLMS,
	volume = 3,
	year = 1953,
	pages = "99-117"}

@techreport{Brent&Cohen&teRiele:1989,
	key = "Brent, Cohen, and te Riele 1989",
	author = "R. P. Brent and G. L. Cohen
and Riele, H. J. J. te",
	title = "Improved techniques for lower bounds for odd
perfect numbers",
	number = "CMA-R50-89",
	institution = "Centre for Mathematical Analysis,
Australian National University, Canberra",
	month = "October",
	year = 1989}

@article{Fung&Williams:1990,
	key = "Fung and Williams 1990",
	author = "G. W. Fung and H. C. Williams",
	title = "Quadratic polynomials which have a high density of prime values",
	journal = MC,
	volume = 55,
	year = 1990,
	pages = "345-353"}

@article{Lebon:1912,
	key = "Lebon 1912",
	author = "E. Lebon",
	title = "Table des facteurs premiers des nombres compris entre
1 et 100\ 000\ 000 ({d\'ebut} d'une)",
	journal = AFAS,
	volume = 41,
	year = 1912,
	pages = "44-53"}

@article{Lebon:1908,
	key = "Lebon 1908",
	author = "E. Lebon",
	title = "Disposition et {\'etendue} d'une table {d'\'el\'ements}
donnant les facteurs premiers des nombres jusqu'\`a cent millions",
	journal = AFAS,
	volume = 37,
	year = 1908,
	pages = "33-36"}

@article{Lebon:1914,
	key = "Lebon 1914",
	author = "E. Lebon",
	title = "Calculs relatifs {\`a} la construction d'une nouvelle
table de diviseurs des nombres",
	journal = AFAS,
	volume = 43,
	year = 1914,
	pages = "29-35"}

@article{Tarry:1907,
	key = "Tarry 1907",
	author = "G. Tarry",
	title = "{Th\'eorie} des tables {\`a} triple {entr\'ee} pour
la recherche des facteurs premiers des nombres",
	journal = AFAS,
	volume = 36,
	year = 1907,
	pages = "32-42"}

@book{Matiyasevich:1993,
	key = "Matiyasevich 1993",
	author = "Yu. V. Matiyasevich",
	title = "Hilbert's Tenth Problem",
	publisher = "MIT Press",
	year = 1993}