is 2 3062317 - 1
has 921850 decimal digits
takes 0.261 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L15A09B34BD8A296Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26938.985868.1159 %30000001000000001.02247.4090 %40.008270.4782 %
Target2641.162365.6250 %1400011000000.00901.4661 %1.171366.1290 %
Difference+5+37.8235+2.4909 %+2986000+98900000+1.0134+5.9429%+38.8369+4.3493 %

Known prime factors (1 factor, 80.2 bits, 0.00262016% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
306231714252225881861319754681132580.237232703307362714568
23 × 3 × 37 × 3619613 × 72398147
2021-05-1836196137239814779,9610.90920.9092

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.572%
2010-09-25markrtiny11000024475006--0.0294.199%
2016-03-26Squeeky_SquirrelP4_2600205000574000012--0.0635.436%
2017-11-27mikrMSI300000010000000012--1.02210.975%
2022-01-23JossManual testing1000000119912100--1.13910.428%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-09David Campeauv4_computers212600.025
2009-02-12Sturle Sundescarpia.ifi2602610.050
2011-10-09Sid & AndyBuzz2612620.100
2013-01-07dbaughManual testing2622630.321
2015-02-07VictordeHollanderManual testing2632640.641
2015-02-07VictordeHollanderManual testing2642651.220
2015-06-06ThaManual testing2652662.440
2017-05-09Gordon SpenceManual testing2662674.880
2018-08-01ramgeisManual testing2672689.76
2022-01-19JossManual testing267268
2021-04-06TJAOIManual testing26826919.52


ECM factoring results:
Total ECM effort:7.506 GHz-days
Estimated T-Level:21.136
DigitsB1CompleteFacMiss
20110002.4628.530%
25500000.22779.681%
302500000.01498.578%


ECM Summary

B1B2factorcurvesGHz-days
50000475000070.985
50000480000070.801
500005000000505.720


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21ANONYMOUSv4_computers15A09B34BD8A296F0.261
1999-09-30ANONYMOUSv4_computers15A09B34BD8A296F0.261


PRP results:
dateuseridcompidcofactorsres64
2021-05-18ATHec2-PRPCFDC
1425222588186131975468113
BC0CB15E600D4DBF


CERT results:
dateuseridcompid
2021-05-18curtischum110--40l


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 205000, B2 = 5740000 (P-1 stage 2)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 110000 (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
TF factor-bounds graph:
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268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.14 ~= 54-bit
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Last modified: 2024-03-03T02:29:32+00:00