digits	factor	from	B1/B2	sigma	date	who
1	73	1808422353177349564546512035512530001279481259854248860454348989451026887	2^1181-1	3e9	4000027779	2010-Mar-06	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
2	68	42593783346150223186979443437882164324892008462850480008134130873603	64*10^341-1	11e7	1998958586	2009-Dec-28	yoyo@home/M. Thompson
3	67	4444349792156709907895752551798631908946180608768737946280238078881	10^381+1	260e6	834412411	2006-Aug-24	B. Dodson
4	66	709601635082267320966424084955776789770864725643996885415676682297	3^466+1	11e7	1875377824	2005-Apr-06	B. Dodson
5	66	296269439535747252943894468070363938094487279043019269906635271651	5^725-1	43e6	3665767179	2008-Feb-02	P. Zimmermann
6	65	71873939195675331969545435365419421094859607922111293780725273857	93^128+1	300e6	1180766	2008-Oct-15	A. Bhargava/S. Pelissier
7	65	65257526772644948764799212887702573391887715235981530343703506731	78^129-1	300e6	489731259	2007-May-03	A. Bhargava/S. Pelissier
8	64	4344673058714954477761314793437392900672885445361103905548950933	10^311-1	85e7	1917732841	2005-Sep-05	K. Aoki & T. Shimoyama
9	63	516469933130631687266967194982169414626403685360388146231581267	3^533+1	11e7	3001167417	2005-Nov-10	A. Kruppa
10	63	153327833285998453874202767942570343649971393640068204571694369	2^1187-1	3e9	3000000588	2010-Jan-30	J. Bos/T. Kleinjung
11	62	44098070546316336069732891124299479167253575131341897248372433	6^344+1	260e6	3660690326	2010-Feb-10	B. Dodson
12	62	31069150378873790895208046895771360949463293546412105951449429	2^2034+1	11e7	1507467457	2005-Apr-10	B. Dodson
13	62	23830405750609887318420248635858165476368020607396633699141951	2^977-1	110e6	1408212726	2007-Nov-12	B. Dodson
14	62	13055369049845151421562673963068310715129211918218895785368571	HP49(100)	260e6	1765817006	2010-Feb-08	N. Daminelli
15	62	10902279470188834915776493427283420460074278957518730285170913	761^68+1	11e6	2707361024	2007-Oct-25	R. Hooft
16	61	8452446907109482406075354226200666470065611141022255344697557	77^103-1	260e6	1215528369	2007-Jan-19	CWI
17	61	7819198973448686789568732583931507321852554880331338485036069	61^141+1	300e6	2334599570	2007-Apr-14	A. Bhargava/S. Pelissier
18	61	4431999617245557152985439095075047794565394448680658709169377	c234	43e6	3108910259	2009-Oct-02	T. Izu
19	61	2664797814058212286560533454960446792210016180875809243599817	2^1087-1	26e7	260005814	2010-Feb-20	J. Bos/T. Kleinjung
20	61	2048815180215513463388335576071214168229077677858641809231081	2^905+1	43e6	2251662224	2006-Sep-02	B. Dodson
21	61	1635894030511622271596003525792810641550939727271210814503153	59^142+1	300e6	1107826	2008-Apr-27	A. Bhargava/S. Pelissier
22	61	1291942943772106529500099325194662891337468227487983754043873	2^2018+1	43e6	2004816852	2007-Apr-04	B. Dodson
23	60	710397590926649141421228656747391967181548159329365401909121	44^124+1	300e6	1161068	2008-Sep-27	A. Bhargava/S. Pelissier
24	60	254856004505238557834753259615355816338030694854500477132141	6^365+1	11e7	2050147833	2007-Feb-19	B. Dodson
25	60	237192716367319808525419681995440718925568206987372271548097	2^2098+1	43e6	3233468769	2008-Jul-24	K. Aoki
26	60	186347963875290244607785015115115186185151460498163342326993	2^1099+1	11e7	2504147897	2005-Oct-03	B. Dodson
27	60	167874456375750976116469234498573870339307973621471953775137	44^133+1	300e6	540118	2008-Mar-12	A. Bhargava/S. Pelissier
28	60	151634244917416206035101114864937647283016448179107389644473	6^292+1	260e6	3837076918	2007-Oct-08	B. Dodson
29	60	112653507736977123212855475998117625287101801671405101833429	113!-1	110e6	1169950016	2007-May-02	S. Irvine
30	59	70882030595596711382756849915770258591816871536887405554911	30^155+1	300e6	100019787	2008-Feb-24	A. Bhargava/S. Pelissier
31	59	59331464916309392309634330880139776767881598388238077554209	7^296+1	43e6	373341450	2008-Dec-09	K. Aoki
32	59	56795528470445061494809246076389726247928879594716867368441	1950691^29-1	43e6	3916435236	2009-Jul-12	yoyo@home
33	59	54440843774271907458306980158905101942481125562171792584549	44^131+1	300e6	1162099	2008-Sep-28	A. Bhargava/S. Pelissier
34	59	43976229065455869110045557754921993324851820720678681937281	687^64+1	11e6	2408138291	2010-Jan-25	T. Adachi
35	59	41120912566813018675472321435609728349473493582225344661873	2^1013-1	26e7	263400010	2010-Mar-03	J. Bos/T. Kleinjung
36	59	37597376323754357344197406664995834047249702145969970498293	6^334+1	260e6	3902421254	2009-Oct-20	B. Dodson
37	59	24702666841918364091482253393576619555300632286283423601713	2^932+1	43e6	3356420512	2007-Jun-07	B. Dodson
38	59	21206963047213924100449174648127600105136716298220374685897	136^76+76^136	300e6	2032225695	2009-Jun-07	J. Gilchrist
39	59	20131492120828919814484857298874674155298711142397769181347	10^233-1	26e7	4114600819	2005-Feb-20	B. Dodson
40	59	14311578668849306832064176821408791945900114506618448115473	prSm(73)	43e6	2477705241	2005-Oct-05	S. Chong
41	58	5907090586313286536313560574827695694485218120865194167761	7^361+1	260e6	1408293054	2007-Dec-26	B. Dodson
42	58	5007861129737749849013925511829197666405121545507799101441	2^1195+1	300e6	3011008	2010-Feb-22	A. Bhargava/S. Pelissier
43	58	4424817286530482826420459992414631518016054430795822455701	3^538+1	110e6	2849027907	2007-Jul-30	B. Dodson
44	58	3967882017033636507059526462153963313366766975977666433309	889*2^889-1	11e6	4206473961	2009-May-14	P. Leyland
45	58	3933722077254573047641104432697964360070287393192927208173	369*9^369+1	3e6	3202184098	2009-Sep-27	P. Leyland
46	58	3213162276640339413566047915418064969550383692549981333701	8*10^141-17	3897500	2735675386	2003-Nov-01	R. Backstrom
47	58	2883341864964464139737089103639877407347144769649195826801	95^127+1	300e6	20014639	2008-Sep-27	A. Bhargava/S. Pelissier
48	58	2843789544342214765667723140574766627206951083329762210791	98^121-1	300e6	7000308	2010-Jan-15	A. Bhargava/S. Pelissier
49	58	2811679144941903286153162532326330832057636083159213547111	91^107+1	300e6	1063122	2008-Jan-09	A. Bhargava/S. Pelissier
50	58	2740024926651043167575399336838025841980007359685947244069	7^277-5^277	11e6	80675065	2009-Dec-02	J. Becker

eFT means eCompute Factoring Team. The notation [x^e] after the first limit bound B1 means that this factor was used with Suyama's extension, implemented up from version 3 of GMP-ECM, and that the smallest polynomial which finds this factor is x^e. a(n,k) denotes the n-th term from the sequence defined by a(1,k)=1 and a(n,k)=(1+sum(a(i,k),i=1..n-1))/(n-1). a(n,2) is sequence M0728 from the Encyclopedia of Integer Sequences, a(n,3) is sequence M1551, and a(n,4) is sequence M1957; A(n,k) denotes the k-th term of the aliquot sequence starting from n, i.e. A(n,0)=n and A(n,k+1)=sigma(A(n,k))-A(n,k) where sigma(m) is the sum of the divisors of m; AF(n) denotes the n-th alternating factorial n!-(n-1)!+(n-2)!-...; B(n) denotes the n-th Bell number, which is the numerator of the coefficient of x^n in the series expansion of exp(exp(x)-1) at x=0; Bern(n) denotes the numerator of the n-th Bernoulli number; C(n) denotes the n-th Cullen number n*2^n+1; C(n,k) denotes the binomial coefficient binomial(n,k); cp(n,k) denotes the n-th term from the concatenated primefactors sequence starting from n; E(n) is the n-th Euler number, i.e. the numerator of the coefficient of x^n in the series expansion of sec(x)+tan(x); HPnn(k) is the k-th of the Home Prime Sequence of nn; j(n) is the n-th coefficient of the elliptic modular function j(tau), i.e. the coefficient of x^n in series(jell(x),x) in Pari; J(n) is the n-th Jones number, i.e. binomial(2n-1,n)-1; L(n) is the n-th Lucas number; Mxxxx(n) represents the n-th term from sequence Mxxxx in Sloane and Plouffe Encyclopedia of Integer Sequences; M(a,n) denotes (a^n-1)^n+a^n-1; p(n) denotes the n-th partition number; RSm(n) denotes the n-th reverse Smarandache number; SC(n) denotes a term from the sigma-chain of n; SymSm(n) denotes the n-th symmetric Smarandache number, i.e. the concatenation of Sm(n) and RSm(n); T(n) is the n-th tangent number, i.e. the numerator of the coefficient of x^n in the series expansion of tan(x); V(p,q,n) is a^n+b^n where (a,b) are roots of x^2-p*x+q [sum(k^n, k=RootOf(x^2-p*x+q)) in Maple-notation]; W(n) denotes the n-th Woodall number n*2^n-1; W1(n) is the numerator of the n-th Wolstenholme number 1+1/2+...+1/n.
[*] factor found in step 1;
[s/r] George Woltman's mprime program was used for step 1, and gmp-ecm for step 2, with the -resume option.
[c/s] factor found with the client/server setup
(1) K64=1!+2!+3!+...+64!;
(2) P1*P2*...*P66+P67 where Pn denotes the nth prime;
(3) special numbers: c93 is a divisor of p118-1, where p118 is a divisor of 10^211-1.
(4) these numbers had been independently factored by Samuel S. Wagstaff, Jr in 1995;