is 2 31873 - 1
has 9595 decimal digits
takes 0.000 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267932.259877.6119%300000000091262649875397039,715.968232.0095%40,648.228084.7782%7.1663%
PrimeNet2400.000062.5000%500100000.00004.1673%0.000064.0627%1.5627%
GPU722440.000165.9091%500100000.00001.7901%0.000166.5194%0.6103%
Difference+23+932.2598+11.7028%+2999999500+912626498743970+39,715.9682+30.2193%+40,648.2279+18.2589%+6.5560%

Known prime factors (5 factors, 345.8 bits, 1.08496829% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3187336289322891031.75756928
25 × 3 × 593
-325931.187e-84.997e-85.202e-8
31873809892930011136.2371270500
22 × 3 × 53 × 7 × 112
2008-08-261211212.872e-79.664e-81.967e-7
3187389093492912986631652.984139763268147
3 × 79 × 589718431
2008-08-29795897184310.03090.02570.0479
31873131721112258395897307667858000931100.05520663431785272157830713748
22 × 59 × 127 × 34313 × 20092225174034393
2018-06-0434313200922251740343934.188e+12874,3301,633,005
318733648040994081100659010160524378289223338124.778572277632177877931009029668430692
22 × 11 × 593 × 1378033 × 503698561 × 31598689672427
2022-11-10503698561315986896724276.003e+121,375.42,568.2

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
318732939046604346106092892167.994
31873323314253171729849032296072684.741
318737215619002012391175065576632789.221
31873261849927815247223132941227250108060737120.978
31873478006997417486583084924057186933001060140131.812
3187310667999755112838149307019195624952221700942136.292
318731173549398148411119025808733421407097836022796747153.040
3187313238493755016564066141150305989545413014101133748156.535
31873295452260949293568029148081344917069268964416123349161.015
3187338713448770373071198451244933346196651412682510360
1
51168.049
3187332501671445244924220267050195787850880093188674598
4479
54177.763
3187342587313036772859238793795370511376611509251542847
126463
56184.796
3187395044936057788875001387509192051040652342723334451
7558967
57189.277
3187310721762496169452207609935655549680986973945952618
755752337
59192.772
3187311794636495411860101628524665827830385268723971021
94216935942431
64209.520
3187326322873917011762958832495907726366709639629757514
285429929331479
65214.000
3187334491163736605041843752005190831832355933813220258
57230862807785463
67221.033
3187348052401730458682306949381765023908089612820014477
097160913515170097
68224.834
3187395523927096719892994121422142008576729265939981048
830775432797992327225431
74245.757
3187317437891220366098700408162057568307092336426805888
1385338229283937256330562033
78256.591
3187338917300431498776474818980982433278260397468447983
62683769169924931844286591097
79261.071
3187342811563130246070877423770023494450734232847792226
0168990306712562391364532473680311
84277.818
3187314122824813657954261346419551722906526727812322474
650037462636963312875855930601643231033
89292.828
3187315536026378591187912246568017436930088177733899763
13559107520557231103949806663127523251461879
94309.575
3187334672782301863077595206868664748327244123436908032
288526507724672572601715352710274028383803311
95314.055
3187312582517924469866714215867733208752079493792569721
26952884081144722206670615802373370836400863199130
08879
105345.812
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:41kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 3628932289
skipped known factor: 80989293001
skipped known factor: 8909349291298663
--0.369--12.377%
2022-09-28T16:21:37nordisweet16_ccx330000000003000000000-
skipped known factor: 3628932289
skipped known factor: 80989293001
skipped known factor: 8909349291298663
--2.396--11.679%
2022-11-10T12:29:37nordisweet16_30.8b14300000000091262649875397038124.77839,7163.51134e-579,43232.009%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??36.23711-3.99473e-5-
2008-08-29T02:24:00ANONYMOUSManual testing??52.984160.0123.59262e-50.025


ECM factoring results:
Total ECM effort:47.597 GHz-days
Estimated T-Level:35.626
DigitsB1CompleteFacMiss
2011000322.4760.000%
255000062.0160.000%
302500009.4780.008%
3510000001.18930.454%
4030000000.12588.225%
45110000000.01198.872%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.163
250000250000005841.678
10000001000000001,22514.08
10000001000000001962.253
3000000114863248506529.42


Lucas-Lehmer results:
No L-L results for M31873


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:42:14Oliver KrusePRP
3628932289
80989293001
8909349291298663
5E375967CC8248__no
2017-09-21T20:27:25Oliver KruseManual testing
3628932289
80989293001
8909349291298663
5E375967CC8248__no
2017-10-12T22:20:54kkmrkkblmbrbkManual testing
3628932289
80989293001
8909349291298663
5E375967CC8248__no
2018-06-07T21:36:16Oliver KruseGTX-6
3628932289
80989293001
8909349291298663
1317211122583958973076678580009
8D4269969926EF__no
2018-06-08T23:43:28arnaudstm-11-010
3628932289
80989293001
8909349291298663
1317211122583958973076678580009
8D4269969926EF__no
2022-11-10T14:37:54nordisweet16_30.9b3
3628932289
80989293001
8909349291298663
1317211122583958973076678580009
36480409940811006590101605243782892233
8D4269969926EF44no


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 912626498753970 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-10T14:37:54+00:00