is 2 12782851 - 1
has 3848022 decimal digits
takes 5.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPD999012AF306E9F6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.324564.1791%40000042845985014.05019.9944%16.374667.7592%3.5801%
PrimeNet2640.278462.5000%5500017000000.08574.2639%0.364164.0989%1.5989%
GPU722684.662964.7059%9000024000000.12783.1610%4.790765.8215%1.1156%
Difference-1-2.3384-0.5268%+310000+426059850+13.9223+6.8334%+11.5839+1.9376%+1.9376%

Known prime factors (6 factors, 366.6 bits, 0.00286827% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12782851920365273929.77836
22 × 32
-995.639e-125.331e-61.085e-5
127828512557592828091237.89610004
22 × 41 × 61
2008-09-0841611.669e-92.493e-54.942e-5
12782851162165295938242722572063.814634308011328
26 × 3 × 131 × 271 × 93059
2017-05-17271930590.17830.00320.0056
127828513273645900227415957592168.14912804834775229
7 × 101 × 36677 × 493811
2022-05-09366774938117.97200.03650.0442
127828517276990373439192584272092479.26828463878572312204
22 × 33 × 72 × 181 × 1693 × 17552489
2022-05-0916931755248915,8470.56741.0579
127828512587711528624138153469388072787.74210121809010463073353
3 × 17 × 67 × 89 × 2731 × 3301 × 3691951
2022-05-09330136919513,456,6160.12100.2225

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
127828512353919621447894918572167.674
12782851149251306867326554498401311612993.592
127828513012950002668136449891876772073097.927
12782851414752797856741994802667572991331101.710
127828518372653276127870753125403600703132106.045
1278285166974892316687344317231576191305733109.045
1278285118611578389188049781254610317155008136117.164
1278285123816398274874022260075692481884931136117.519
127828516618312446774906486570642679193006886338125.638
12782851381724072026934160937121721944385251124940131.488
12782851530871756207393918009779169255105255806340131.964
127828517705899318217772148608977688196291623446341135.823
127828511180075297448510090081564899726549883264071344143.082
1278285117129450425125959685261989707056985613273711345146.941
1278285123822289702003585436961617596119664120460663145147.417
12782851419637005842135817620206457171961803948677739946151.556
127828516091264941875284778062060383220923202600379459947155.415
127828518471251236651629402387374104224108268690371951347155.891
12782851488595928829807547967610021781188155403900134619949161.741
1278285118830751883035470991825849165809600971539558679966
3
51167.009
1278285113577537963115736233312966897715354298682577102389
67
52169.860
1278285110861003232967541925011740712040437086584551131159
649
53172.859
1278285121925208165069618557668003469374278408896083079792
5263
54177.195
1278285130181521173604828824486102306645039835958154764544
02817
55180.978
1278285138621932744279992668709952627143543363679726607208
64927
55181.334
1278285160927717290526633417038601964440799167909889771525
706479
56185.313
1278285177966454570724645008230824191873518598947715334297
672049
56185.669
1278285110732605965430079978731482863281172536145568300068
70433791
58189.452
1278285121666011407808750705358520732931367482078161999479
378752017
59193.787
1278285117331170097625205328075378435947175664192071154786
7033302999
60196.787
1278285112496294434090878508969080473255755135398713615184
41758192991
61199.637
1278285148161395963593783147769030840748744683274271485605
516442893367
62204.905
1278285127778023974500088675166420634161291802717502326445
81520720174041
64210.755
1278285138631486594519634713017026054284073893699512994020
71489531536167
64211.231
1278285156075755157362365278643655748540892418511558538970
164470062703767
65215.091
1278285198779178193744841220370354191585980369897183362328
7898671682139943
66219.230
1278285113737429637588161181193263670094552008444557105887
93801433675450841
67219.705
1278285119940644504169015174726237497240538122906190175989
064282970525505641
68223.565
1278285130536944518520685636327359178519607920133625112891
38249906356627849391
70230.824
1278285144326076344094090287899243410691137924829023409725
436711269542628844191
71234.683
1278285161645213700098762638579831947213762951673986053039
553206940532463429217
71235.159
1278285135555078705960903906506191838099274488726925256708
92263228208926450328591
73241.009
1278285198803613052598395640698951202497618410033475471033
1434691532041459964853103
75249.127
1278285112643453178717119027096940583487554295064773106124
64197797212497706675044593
76249.483
1278285135134751517486488922110834150854178028979304370415
4369767061589287963895892369
78257.601
1278285128105143278374144391825608647707254679266746073505
93307309806142225964150598743
79260.601
1278285156736113936234737802818727362391516528374713980703
940867103848655469393820381241
80264.937
1278285178101070292350743759780331802431183199972521103183
7164827699182548943958227419319
81268.720
1278285115766335644544800744911502293111137958334273598907
664762716906543959238560656430553
83273.055
1278285190935414300541085763213900134300398849800285591036
2226810353558126547870596547492119
84278.905
1278285132336805172178616650610013609508628744832139378227
4967764804586032830766657123773301737
87287.379
1278285171881512881211582092223271499375157989555722977629
9423898191356108535641975679377616909087
90298.497
1278285199967143228527305078104033646796827415651881696702
4480591974631916533548499731251656332769
90298.973
1278285114510787809701106498321078168839358506362986346115
345381130425913046531098750682765117385969
92302.833
1278285192006287068553634526163505249735347639940328570749
2518077715933712934912578613893857312411119530937
99328.751
1278285125567524856592724336049431374994761399963674203959
93217589491716200943815136790828528675623424850681
21
102336.869
1278285123531461994572248583361878648941818949447429198810
64065812900945312520177276034023242690728481857892
19607762033
111366.647
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-09T07:17:54nordisweet16_30.8b14400000400000-
skipped known factor: 920365273
skipped known factor: 255759282809
skipped known factor: 16216529593824272257
--0.237--2.428%
2022-05-09T20:42:31nordisweet16_30.8b1440000042845985071235.15914.0510.4428.109.994%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T08:39:00Will EdgingtonManual testing??37.896122.36863e-1010.904.94676e-10
2017-05-17T15:07:03TJAOIManual testing263264*63.814200.05310.630.109


ECM factoring results:
No ECM results for M12782851


Lucas-Lehmer results:
No L-L results for M12782851


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-10T23:11:36LordJuliussurface7
920365273
255759282809
16216529593824272257
D999012AF306E9F6no


P-1 factor-bounds graph:
B1 = 400000, B2 = 428459850 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
264
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-10T23:11:36+00:00