digits	factor	from	B1/B2	sigma	date	who
1	79	2302872188505279576573535015926441913945044975483579529517513795897664211127797	11^306+1	800e6	3648110021	2012-Aug-12	S. Wagstaff
2	77	18974159366624817405627752670504479132613571595050983959444958694223874973021	N_188	1e9	366329389	2013-Jun-15	S. Wagstaff
3	75	336842026814486816413712532665671525518487238461533945786937785048474675329	11^304+1	1e9	3885593015	2012-Aug-02	S. Wagstaff
4	75	227432689108589532754984915075774848386671439568260420754414940780761245893	EM47	850e6	2224648366	2012-Sep-11	R. Propper
5	73	1808422353177349564546512035512530001279481259854248860454348989451026887	2^1181-1	3e9	4000027779	2010-Mar-06	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
6	73	1042816042941845750042952206680089794415014668329850393031910483526456487	2^1163-1	3e9	3000085158	2010-Apr-18	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
7	72	201899170515693330875562714316614363610229288846992326512304705165161183	3^713-1	6e8	1631036890	2012-Jan-01	S. Wagstaff
8	72	156667357389159077765620341252173218350111435299858918599291077497025529	3^560-2	29e8	2677823895	2013-Jan-02	R. Propper
9	72	105411789654665518987995882770574113299251148356730172611945085373681497	3^554-2	260e6	971177432	2013-Jan-02	R. Propper
10	71	23831310369329940284424897622931177276129265258901041211081029394362653	134^134+135^135	2.9e9	2198899052	2013-Feb-18	R. Propper
11	70	5289087042676468861217290554991265187804183644859386048140442629053859	141^141+142^142	7.6e9	1209355974	2013-Apr-30	R. Propper
12	70	2633079918766750130582962701074725510503525177187274307427718640470081	144^144+145^145	260e6	2351183730	2013-Apr-23	R. Propper
13	70	2538207129840687799335203259492870476186248896616401346500027311795983	2^1237-1	3e9	3000086787	2010-Oct-30	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
14	70	1379798425732103050395297326163618108656088627995446799623531346973289	3^607+1	400e6	2826347288	2012-Jun-09	B. Dodson
15	69	778690790153396854590214216181777523646970439474630791573244864151943	149^149+150^150	2.9e9	2709609796	2013-Feb-15	R. Propper
16	69	474942339376967475871960321762614254290810243038880418971061342256529	2^1822+1	400e6	1648470872	2011-Feb-20	B. Dodson
17	69	362466230088787245203725150695608196446507416763500471557553488672973	3^1443+1	6e8	1574053484	2010-Nov-24	S. Wagstaff
18	69	109733959547779654926866874550711330198507136524383634700803540817357	F(1527)	11e7	1836517946	2012-Mar-20	B. Kelly
19	68	42593783346150223186979443437882164324892008462850480008134130873603	64*10^341-1	11e7	1998958586	2009-Dec-28	yoyo@home/M. Thompson
20	68	12947560801881275212486900476122097688373975262784709656768032387833	2^1139-1	3e9	3000043837	2010-Sep-05	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
21	68	11770588553073659242102454824858622972163387155333297977804066944331	7^763+1	9e8	4251689254	2011-Jun-12	B. Dodson
22	67	4444349792156709907895752551798631908946180608768737946280238078881	10^381+1	260e6	834412411	2006-Aug-24	B. Dodson
23	67	3333605456452402381228509474043950420937637792405993895597753730421	6^415-1	260e6	2:1499756889	2012-Mar-25	C. Bouvier
24	67	3043392259206870967482500082233986390424278957322258801584514334307	2^1151+1	1e9	1000021551	2011-May-06	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
25	67	2970502746365749876818923808989713022319848931047956587856682374457	10^236+9^236	11e7	1323877938	2013-May-03	K. Schoenberger
26	67	1476089794776829083186088935097008657059172428532830012025534581117	Euler(130)	1.1e9	4041427963	2013-Apr-09	S. Wagstaff
27	67	1169019514929612758638372677943910661356546206563666340319761077001	12^350+1	800e6	1597467752	2012-Nov-07	S. Wagstaff
28	66	709601635082267320966424084955776789770864725643996885415676682297	3^466+1	11e7	1875377824	2005-Apr-06	B. Dodson
29	66	694217535399847678048415113186577758507635822252803808473674680017	2^1073-1	3e9	3000000623	2010-May-31	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
30	66	296269439535747252943894468070363938094487279043019269906635271651	5^725-1	43e6	3665767179	2008-Feb-02	P. Zimmermann
31	66	146295687472882040148769731725366660147038145176758336740756340769	3^792+1	900e6	2227682166	2012-Feb-07	B. Dodson
32	66	100940116342161906132432717267406668937301450498273989129213784279	5^463-1	900e6	3506087022	2011-Oct-13	B. Dodson
33	65	71873939195675331969545435365419421094859607922111293780725273857	93^128+1	300e6	1180766	2008-Oct-15	A. Bhargava/S. Pelissier
34	65	65257526772644948764799212887702573391887715235981530343703506731	78^129-1	300e6	489731259	2007-May-03	A. Bhargava/S. Pelissier
35	65	57670113141808252240352311142780968492223118520622897175521034757	6^822+1	600e6	215911918	2011-Dec-19	S. Wagstaff
36	65	38497687061346649817295117852968299620995218286740952471394479857	10^328+1	900e6	887127683	2011-Oct-09	B. Dodson
37	65	35114715042965274101169625516054098538381292855048785334245014037	23773^31-1	850e6	311468964	2013-Jan-27	R. Propper
38	65	21409755852155829640600817278566515575581623831146350895229829607	739^83-1	11e7	1210819997	2012-Jan-02	R. Hooft
39	65	17730622090971535597834772526809943198275561703661414049513096671	29^167-1	1e9	1818302	2011-Jun-22	A. Bhargava/S. Pelissier
40	65	16785703768734933461785568830025208537214399823278256352088003411	A(3678,3033)	1e7	2806272118	2010-Nov-10	T. Womack
41	64	7291991227924258671416726662305361394436025014383154284146971533	11^278+1	400e6	2010943651	2012-Dec-23	B. Dodson
42	64	7213820902434963364151186560559158420921586339845038328468305677	3^634+1	400e6	1881941203	2011-Mar-27	S. Wagstaff
43	64	5985308577876124650278825351417108648386073995987866741912341909	17^173-1	300e6	1486915	2010-May-16	A. Bhargava/S. Pelissier
44	64	4650384055791287715318612314019533732871786340821784227432051601	2^1175+1	3e9	7003073	2012-Oct-28	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
45	64	4344673058714954477761314793437392900672885445361103905548950933	10^311-1	85e7	1917732841	2005-Sep-05	K. Aoki & T. Shimoyama
46	64	3099117945581157517472560817353548774282450299539903688747366609	2^964+1	1e9	1000010359	2011-Apr-04	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
47	64	2985705340255877974384457755217875800152021182151468875486121347	2^1051+1	1e9	1000026475	2011-May-12	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
48	64	1210825726041172608205606863638504578784630870741567056159350851	12^341-1	800e6	2611231287	2012-Nov-04	S. Wagstaff
49	63	844419612452198561310720080038799341972811718390811373415844777	3^723-1	450e6	3896393349	2011-Apr-24	S. Wagstaff
50	63	767749587188080891246822731496641644423848612695929371145177219	2^1049+1	1e9	1000006486	2011-Mar-10	J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery

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;