@article{Reid:1953,
	key = "Reid 1953",
	author = "C. Reid",
	title = "Perfect numbers",
	journal = SA,
	year = 1953,
	volume = 188,
	number = 3,
	month = "March",
	pages = "84-86"}

@article{Bouniakowsky:1884,
	key = "Bouniakowsky 1884",
	author = "V. Bouniakowsky",
	title = "Protokol'i fiziko-matematicheskago otddjleniya",
	journal = "Zapiski Imperatorskoj Akademii Nauk",
	volume = 48,
	year = 1884,
	pages = "112"}

@article{Bouniakowsky:1878,
	key = "Bouniakowsky 1878",
	author = "V. Bouniakowsky",
	title = "Nouveaux cas de divisibilit\'e des nombres
de la forme $2^{2^m} + 1$",
	journal = NCM,
	volume = 4,
	year = 1878,
	pages = "284-285"}

@article{Imchenetzki&Bouniakowsky:1887,
	key = "Imchenetzki and Bouniakowsky 1887",
	author = "V. G. Imchenetzki and V. Bouniakowsky",
	title = "Sur un nouveau nombre premier, annonc\'e par le p\`ere
{Pervouchine}",
	journal = BAIS,
	volume = 31,
	year = 1887,
	pages = "532-533",
	note = "Reprinted in {\it M\'elanges Math\'ematiques et Astronomiques
tir\'es du Bulletin de l'Acad\'emie Imp\'eriale des Sciences 
de St. P\'etersbourg} {\bf 6} (1883), 553--554."}

@article{Seelhoff:1886,
	key = "Seelhoff 1886",
	author = "P. Seelhoff",
	title = "Die neunte vollkommene {Zahl}",
	journal = ZMP,
	volume = 31,
	year = 1886,
	pages = "174-178"}

@article{Noll&Nickel:1980,
	key = "Noll and Nickel 1980",
	author = "C. Noll and L. Nickel",
	title = "The 25th and 26th {Mersenne} primes",
	journal = MC,
	volume = 35,
	year = 1980,
	pages = "1387-1390"}

@article{Robinson:1954,
	key = "Robinson 1954",
	author = "R. M. Robinson",
	title = "Mersenne and {Fermat} numbers",
	journal = PAMS,
	volume = 5,
	year = 1954,
	pages = "842-846"}

@article{Powers:1911,
	key = "Powers 1911",
	author = "R. E. Powers",
	title = "The tenth perfect number",
	journal = AMM,
	volume = 18,
	year = 1911,
	pages = "195-197"}

@article{Rosen:1988,
	key = "M. Rosen 1988",
	author = "M. I. Rosen",
	title = "A proof of the {Lucas-Lehmer} test",
	journal = AMM,
	year = 1988,
	volume = 95,
	pages = "855-856"}

@article{Peterson:1988,
	key = "I. Peterson 1988",
	author = "I. Peterson",
	title = "Priming for a lucky strike",
	journal = SN,
	year = 1988,
	volume = 133,
	pages = 85}

@article{Lucas:1887,
	key = "Lucas 1887",
	author = "E. Lucas",
	title = "Sur le neuvi\`eme nombre parfait",
	journal = "Mathesis",
	volume = 7,
	year = 1887,
	pages = "45-46"}

@article{Powers:1914a,
	key = "Powers 1914a",
	author = "R. E. Powers",
	title = "On {Mersenne's} numbers",
	journal = PLMS,
	volume = 13,
	year = 1914,
	pages = "xxxix"}

@article{Powers:1914b,
	key = "Powers 1914b",
	author = "R. E. Powers",
	title = "A {Mersenne} prime",
	journal = BAMS,
	volume = 20,
	year = "1913-14",
	pages = "531"}
	
@article{Lucas:1876b,
	key = "Lucas 1876b",
	author = "E. Lucas",
	title = "Sur la recherche des grands nombres premiers",
	journal = AFAS,
	volume = 5,
	year = "{\noopsort{1876b}}1876",
	pages = "61-68"}

@article{Lucas:1876c,
	key = "Lucas 1876c",
	author = "E. Lucas",
	title = "Sur la th\'eorie des nombres premiers",
	journal = ARAST,
	volume = 11,
	year = "{\noopsort{1876c}}1875-76",
	pages = "928-937"}

@article{Tuckerman:1971,
	key = "Tuckerman 1971",
	author = "B. Tuckerman",
	title = "The 24th {Mersenne} prime",
	journal = PNAS,
	year = 1971,
	volume = 68,
	pages = "2319-2320"}

@article{Fauquembergue:1912,
	key = "Fauquembergue 1912",
	author = "E. Fauquembergue",
	title = "V\'erification des nombres de {Mersenne}",
	journal = SOE,
	volume = 7,
	number = 2,
	year = "February, 1912",
	pages = "20-23"}

@incollection{Cunningham:1913,
	key = "Cunningham 1913",
	author = "A. Cunningham",
	title = "On {Mersenne's} numbers",
	booktitle = "Proc. 5th International Congress of Mathematicians",
	editor = "E. W. Hobson and A. E. H. Love",
	year = 1913,
	publisher = CUP,
	volume = "I",
	pages = "384-386"}

@article{Lucas:1877a,
	key = "Lucas 1877a",
	author = "E. Lucas",
	title = "Recherches sur plusieurs ouvrages de {L\'eonard} de {Pise} et 
sur diverses questions {d'arithm\'etique sup\'erieure}",
	journal = BBSSMF,
	volume = 10,
	year = 1877,
	pages = "129-193; 239-293"}

@article{Raik:1953,
	key = "Raik 1953",
	author = "A. E. Raik",
	title = "{Ural'ski\v{\i}} matematik {Ivan} {Mikheevich} {Pervushin}",
	journal = "Istoriko-Matematicheskie Issledovaniya",
	volume = 6,
	year = 1953,
	pages = "535-572"}

@article{Lucas:1878c,
	key = "Lucas 1878c",
	author = "E. Lucas",
	title = "On the interpretation of a passage in {Mersenne's} works",
	journal = "Mess. Math.",
	volume = 7,
	year = "{\noopsort{1878c}}1878",
	pages = "185-187"}

@article{Lucas:1876d,
	key = "Lucas 1876d",
	author = "E. Lucas",
	title = "Sur les rapports qui existent entre la th\'eorie des
nombres et le calcul int\'egral",
	journal = CRASP,
	volume = 82,
	year = "{\noopsort{1876d}}1876",
	pages = "1303-1305"}

@article{Curtze:1895,
	key = "Curtze 1895",
	author = "M. Curtze",
	title = "Mathematisch-historische {Miscellen}",
	journal = BM,
	volume = 9,
	year = 1895,
	pages = "33-42"}

@article{Curtze:1899,
	key = "Curtze 1899",
	author = "M. Curtze",
	title = "Eine {Studienreise}",
	journal = CFB,
	volume = 16,
	year = 1899,
	pages = "288-289"}

@book{Cataldi:1603,
	key = "Cataldi 1603",
	author = "P. A. Cataldi",
	title = "Trattato de Numeri Perfetti",
	address = "Bologna",
	year = 1603,
	pages = "12-22"}

@book{Landry:1867,
	key = "Landry 1867",
	author = "F. Landry",
	title = "Aux {Math\'ematiciens} de Toutes les Parties du Monde;
Communication sur la {D\'ecomposition} des {Nombres} en Leurs Facteurs Simples",
	publisher = "Librairie Hachette",
	address = "Paris",
	year = 1867}

@book{Landry:1869,
	key = "Landry 1869",
	author = "F. Landry",
	title = "{D\'ecomposition} des Nombres $2^n \pm 1$ en Leurs Facteurs 
Premiers de $n=1$ {\`a} $n=64$ (Moins Quatre)",
	address = "Paris",
	publisher = "Librairie Hachette",
	year = 1869}

@article{DHLehmer:1952a,
	key = "D. H. Lehmer 1952a",
	author = "D. H. Lehmer",
	title = "Recent discoveries of large primes",
	journal = MTAC,
	volume = 6,
	year = "{\noopsort{1952a}}1952",
	pages = "61"}

@article{Riesel:1958a,
	key = "Riesel 1958a",
	author = "H. Riesel",
	title = "A new {Mersenne} prime",
	journal = MTAC,
	volume = 12,
	year = "{\noopsort{1958a}}1958",
	pages = 60}

@article{Riesel:1958b,
	key = "Riesel 1958b",
	author = "H. Riesel",
	title = "{Mersenne} numbers",
	journal = MTAC,
	volume = 12,
	year = "{\noopsort{1958b}}1958",
	pages = "207-213"}

@article{DHLehmer:1952b,
	key = "D. H. Lehmer 1952b",
	author = "D. H. Lehmer",
	title = "A new {Mersenne} prime",
	journal = MTAC,
	volume = 6,
	year = "{\noopsort{1952b}}1952",
	pages = 205}

@article{DHLehmer:1953a,
	key = "D. H. Lehmer 1953a",
	author = "D. H. Lehmer",
	title = "Two new {Mersenne} primes",
	journal = MTAC,
	volume = 7,
	year = "{\noopsort{1953a}}1953",
	pages = 72}

@article{Miller&Wheeler:1951,
	key = "J. Miller and Wheeler 1951",
	author = "J. C. P. Miller and D. J. Wheeler",
	title = "Large prime numbers",
	journal = "Nature",
	volume = 168,
	year = 1951,
	pages = 838}

@article{Miller:1951,
	key = "J. Miller 1951",
	author = "J. C. P. Miller",
	title = "Large primes",
	journal = "Eureka",
	number = 14,
	year = 1951,
	pages = "10-11"}

@article{Ewing:1983,
	key = "Ewing 1983",
	author = "J. Ewing",
	title = "$2^{86243}-1$ is prime",
	journal = MI,
	volume = 5,
	number = 1,
	year = 1983,
	pages = 60}

@inproceedings{Nelson:1980,
	key = "Nelson 1980",
	author = "H. L. Nelson",
	title = "Multi-precise arithmetic on a vector processor, or how we
found the 27th {Mersenne} prime",
	booktitle = "VLSI:  New Architectural Horizons (Proc. Twentieth IEEE
Computer Society International Conference; Spring CompCon 80)",
	year = 1980,
	pages = "265-269"}

@article{Wertheim:1902,
	key = "Wertheim 1902",
	author = "G. Wertheim",
	title = "Ein {Beitrag} zur {Beurteilung} des {Pietro Antonio Cataldi}",
	journal = BM,
	volume = 3,
	year = 1902,
	pages = "76-83"}

@article{Peterson:1985,
	key = "I. Peterson 1985",
	author = "I. Peterson",
	title = "Prime time for supercomputers",
	journal = SN,
	volume = 128,
	year = 1985,
	pages = 199}

@article{Lucas:1878d,
	key = "Lucas 1878d",
	author = "E. Lucas",
	title = "Th\'eor\`emes d'arithm\'etique",
	journal = ARAST,
	volume = 13,
	year = "{\noopsort{1878d}}1877-8",
	pages = "271-284"}

@article{Ehrman:1967,
	key = "Ehrman 1967",
	author = "J. R. Ehrman",
	title = "The number of prime divisors of certain {Mersenne} numbers",
	journal = MC,
	volume = 21,
	year = 1967,
	pages = "700-704"}

@article{Archibald:1935,
	key = "Archibald 1935",
	author = "R. C. Archibald",
	title = "Mersenne's numbers",
	journal = SM,
	volume = 3,
	year = 1935,
	pages = "112-119"}

@article{Schroeder:1983,
	key = "Schroeder 1983",
	author = "M. R. Schroeder",
	title = "Where is the next {Mersenne} prime hiding?",
	journal = MI,
	volume = 5,
	number = 3,
	year = 1983,
	pages = "31-33"}

@article{Bateman&Selfridge&Wagstaff:1989,
	key = "Bateman, Selfridge, and Wagstaff 1989",
	author = "P. T. Bateman and J. L. Selfridge and {Wagstaff, Jr.}, S. S.",
	title = "The new {Mersenne} conjecture",
	journal = AMM,
	volume = 96,
	year = 1989,
	pages = "125-128"}

@article{Heyworth:1982,
	key = "Heyworth 1982",
	author = "M. R. Heyworth",
	title = "A conjecture on {Mersenne}'s conjecture",
	journal = NZMM,
	volume = 19,
	year = 1982,
	pages = "147-151"}

@article{Lucas:1876e,
	key = "Lucas 1876e",
	author = "E. Lucas",
	title = "Nouveaux th\'eor\`emes d'arithm\'etique sup\'erieure",
	journal = CRASP,
	volume = 83,
	year = "{\noopsort{1876e}}1876",
	pages = "1286-1288"}

@article{Lucas:1877b,
	key = "Lucas 1877b",
	author = "E. Lucas",
	title = "Sur la division de la circonf\'erence en parties \'egales",
	journal = CRASP,
	volume = 85,
	year = 1877,
	pages = "136-139"}

@article{Lucas:1877c,
	key = "Lucas 1877c",
	author = "E. Lucas",
	title = "Sur l'extension du th\'eor\`eme de {Fermat} g\'en\'eralis\'e,
et du {\it {Canon} arithmeticus}",
	journal = CRASP,
	volume = 84,
	year = 1877,
	pages = "439-442"}

@article{Drake:1971,
	key = "Drake 1971",
	author = "S. Drake",
	title = "The rule behind {``Mersenne's numbers''}",
	journal = "Physis-Riv. Internaz. Storia Sci.",
	volume = 13,
	year = 1971,
	pages = "421-424"}

@article{Colquitt&Welsh:1991,
	key = "Colquitt and Welsh 1991",
	author = "W. N. Colquitt and Welsh, Jr., L.",
	title = "A new {Mersenne} prime",
	journal = MC,
	volume = 56,
	year = 1991,
	pages = "867-870"}

@article{Ewing:1992,
	key = "Ewing 1992",
	author = "J. Ewing",
	title = "The latest {Mersenne} prime",
	journal = AMM,
	volume = 99,
	year = 1992,
	pages = "360"}

@article{Picutti:1989,
	key = "Picutti 1989",
	author = "E. Picutti",
	title = "Pour {l'histoire} des sept premiers nombres parfaits",
	journal = HM,
	volume = 16,
	year = 1989,
	pages = "123-136"}

@article{Haghighi:1992,
	key = "Haghighi 1992",
	author = "M. Haghighi",
	title = "Computation of {Mersenne} primes using {Cray X-MP}",
	journal = IJCM,
	volume = 41,
	year = 1992,
	pages = "251-259"}

@article{Ewing:1994,
	key = "Ewing 1994",
	author = "J. Ewing",
	title = "$2^{858433}-1$ [sic; exponent should be $859433$] is prime",
	journal = AMM,
	volume = 101,
	year = 1994,
	pages = "338"}

