is 2 3093973 - 1
has 931379 decimal digits
takes 0.263 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L44573FA793628FA9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.264867.6471 %30000001000000001.02248.0463 %20.287370.2503 %
Target2641.150465.6250 %1400012000000.00971.5065 %1.160166.1429 %
Difference+4+18.1144+2.0221 %+2986000+98800000+1.0127+6.5398%+19.1272+4.1074 %

Known prime factors (1 factor, 70.3 bits, 0.00227145% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
309397314316486603848975964232270.278231360884594807
11 × 1283 × 16393458839
2020-10-23128316393458839128.20110.23205.87

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-14ANONYMOUSv4_computers2048204800--0.0020.573%
2009-07-03Carsten Kossendeymother15000180000--0.0031.413%
2011-08-16USAFSSP4_260010000021250006--0.0264.020%
2016-04-17JossManual testing20000061704276--0.0655.502%
2018-05-12mikrMSI300000010000000012--1.02210.985%
2022-02-20JossManual testing1000000128282700--1.20810.530%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-01-22ANONYMOUSv4_computers212590.012
1998-05-16ANONYMOUSv4_computers212600.025
2009-02-13Sturle Sundegicy.ifi2602610.050
2011-12-03Sid & AndyBuzz2612620.099
2013-01-07dbaughManual testing2622630.317
2015-02-07VictordeHollanderManual testing2632651.842
2015-06-11ThaManual testing2652662.415
2017-05-18Gordon SpenceManual testing2662674.831
2018-08-19ramgeisManual testing2672689.66


ECM factoring results:
Total ECM effort:2.227 GHz-days
Estimated T-Level:3.846
DigitsB1CompleteFacMiss
20110000.76946.337%
25500000.07193.130%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.644
50000500000050.584


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-24ANONYMOUSv4_computers44573FA793628FA90.263
1999-10-29ANONYMOUSv4_computers44573FA793628FA90.263
2000-01-19ANONYMOUSv4_computers44573FA793628FA90.263


PRP results:
dateuseridcompidcofactorsres64
2020-10-23mrhp
1431648660384897596423
97ABECB584224D91


CERT results:
dateuseridcompid
2020-10-23Ben Deloi-0a0aac9e405b8b82d


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 200000, B2 = 6170427 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
263
262
261
260
259
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=3.85 ~= -4-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00