digits factor from B1/B2 sigma date who
183165598199251072799631805738859758610717629818982386167243844257989325146883490202877^337+17.6e938821276932013-Sep-07R. Propper
2796083324092478900951288520916966416595449236017004455695358667500798143293692091A(276,2063)7.6e937615044592017-Jul-14R. Propper
379230287218850527957657353501592644191394504497548357952951751379589766421112779711^306+1800e636481100212012-Aug-12S. Wagstaff
47718974159366624817405627752670504479132613571595050983959444958694223874973021N_1881e93663293892013-Jun-15S. Wagstaff
5765191873720703506118777751448022113902214321958414685694699686672326450173651175^175+176^176260e68969581362013-May-27R. Propper
67533684202681448681641371253266567152551848723846153394578693778504847467532911^304+11e938855930152012-Aug-02S. Wagstaff
775227432689108589532754984915075774848386671439568260420754414940780761245893EM47850e622246483662012-Sep-11R. Propper
8751314580029663621913390051081023672272206743156373737353788050319706142734393541^101-130e921438312362016-Apr-20R. Propper
974648705409474656057643246690882531199521927289654112318028816779068203428613^785+11.7e91:42450371182020-Aug-07S. Wagstaff
1074290618710244745246524600481486713498170575911214462111652368894974764215532^1429+1260e60:160495882118148127282021-Feb-10R. Propper
11742672119453197384895476777235111415220308357720681394314948487562862330947312^284+1600e623965407552014-Oct-26B. Dodson
127425707943518696221194354398472561375355836712931411426198630128562025289803A(4788,12584)260e61:16252992262021-Mar-31R. Propper
1373304590099396028614949714726870530525803186063978422761414025198252329418711^311-1850e619153314022016-Feb-07R. Propper
1473290907654262059852449953243595873686081167113074753409453237504666190316110^593+111e7162993144306962213252017-Nov-07yoyo@home/astroboylok
157318084223531773495645465120355125300012794812598542488604543489894510268872^1181-13e940000277792010-Mar-06J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
16731282647975791177843679868451592215720120840718839395753277055866543942203A(4788,10775)7.6e937963968472016-Nov-25R. Propper
177310428160429418457500429522066800897944150146683298503930319104835264564872^1163-13e930000851582010-Apr-18J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
18722018991705156933308755627143166143636102292888469923265123047051651611833^713-16e816310368902012-Jan-01S. Wagstaff
19721566673573891590777656203412521732183501114352998589185992910774970255293^560-229e826778238952013-Jan-02R. Propper
2072106002730711768093638181225145334190436829099411377323338219454617008287A(276,2121)25e96003465722017-Sep-11R. Propper
21721054117896546655189879958827705741132992511483567301726119450853736814973^554-2260e69711774322013-Jan-02R. Propper
227134121014034583126200398354894744777158420594210915713150400130023849773A(7392,1357)110e622433007152015-Jul-14Ch. Clavier
2371328238799122587357276263729913097104310203278771477064396665342264831138^316+7^316110e6??????2021-Apr-22J. Becker
247123831310369329940284424897622931177276129265258901041211081029394362653134^134+135^1352.9e921988990522013-Feb-18R. Propper
2571119883544521016981030392339241392870941054981008251170490005707587911593^757+11.7e91:344982792021-Jul-19S. Wagstaff
26709926316454628557863038469663879950361774982225520836326372945706841117569^109-17.6e927388340722016-Feb-27R. Propper
277089956245979576891870767653151943497233481122467428881987028848898312235^421+1400e629585989512014-Jan-01B. Dodson
28707525032929675728079188975968262692873428304834022809537969894340478891499^113-13e1035864283072016-Feb-21R. Propper
297055570361679448925026662858219518716008035810191930741829420215525127212^1069-1260e637256728262013-Aug-02R. Propper
30705289087042676468861217290554991265187804183644859386048140442629053859141^141+142^1427.6e912093559742013-Apr-30R. Propper
317047025748643569036683289252304832499384197489528326414833902553349994795^493-113e81:36125514012021-Jan-04S. Wagstaff
32702633079918766750130582962701074725510503525177187274307427718640470081144^144+145^145260e623511837302013-Apr-23R. Propper
337026179959211305402035118369483245582074606385247708776653272164837934593^683-17.6e911621455002017-Oct-13R. Propper
347025382071298406877993352032594928704761862488966164013465000273117959832^1237-13e930000867872010-Oct-30J. Bos/T. Kleinjung/A. Lenstra/P. Montgomery
357022815457651353870557704630205346650821298481512304929225488255353496092^1563-11e102348747832017-Aug-08R. Propper
367013797984257321030503952973261636181086560886279954467996235313469732893^607+1400e628263472882012-Jun-09B. Dodson
3769778690790153396854590214216181777523646970439474630791573244864151943149^149+150^1502.9e927096097962013-Feb-15R. Propper
386974229449232273764076583505858772551789778346862816290484782173442539111^281+7^281260e61:10663422352020-Mar-16R. Propper
39697306077492283389237096136973478884336502871329573781652896687806813298*10^195+93e94436922242016-Oct-06S. Batalov
40696838022176060945094603599451746309977168789246060131942208159539012772^2822+118e81:38384934052021-Mar-01S. Wagstaff
41695637341094896100385139395011391441838519491499210623167186680463905932^2186+1400e68194440762013-Aug-28B. Dodson
426948263203105313440389677003598124973427350630763839612326938949700692311^323+1400e641802682582013-Sep-09B. Dodson
43694749423393769674758719603217626142542908102430388804189710613422565292^1822+1400e616484708722011-Feb-20B. Dodson
44694573093760613419688589699075399274247975641276732047628287011464836012^2390+11.6e91:1951288362021-Jan-09S. Wagstaff
4569444391024295554825813920762553875384889500352609895126972409492191251L(2875)1e928071835772018-Jul-01T. Womack
46693624662300887872452037251506956081964465074167635004715575534886729733^1443+16e815740534842010-Nov-24S. Wagstaff
47693050179060632568429214948085580197338563262994125349519893032146571992^1051-12.9e98560373222013-Aug-12R. Propper
48692877477265305444921756774578909148368293755332125013317689530623196411433^101-130e915794517232016-Mar-31R. Propper
49692552909721722987531589356786418566182996052924620287429591242595788713^617+12.9e931424731802014-Apr-29R. Propper
50691940388960226377812839435292025253743309426459484105157925347948653192^1393-116e81:11152693842021-Mar-25S. Wagstaff
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; c160 is related to the Euclid-Mullin graph.
[*] 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;