is 2 4649681 - 1
has 1399694 decimal digits
takes 0.612 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0E7E7F5C59AF0C03double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272205.677368.0556 %430000011204171550117.318311.3046 %322.995571.6667 %
Target2651.569164.6154 %2800030000000.03632.1911 %1.605365.3907 %
Difference+7+204.1082+3.4402 %+4272000+11201171550+117.2820+9.1135%+321.3902+6.2760 %

Known prime factors (1 factor, 106.6 bits, 0.00229281% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
464968112366875335576222238851375307449733106.60813298627729059501327995808
25 × 13 × 181 × 409 × 1009 × 1272067 × 336442199
2023-02-2712720673364421993.038e+103.72926.5362

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-11ANONYMOUSv4_computers25000206250--0.0071.576%
2011-07-12USAFSSP4_2600550008662506--0.0202.784%
2012-02-07Squeeky_SquirrelT7500_220011000020900006--0.0423.850%
2018-07-02Ismo Laitela6600K19882036163430312--1.0009.610%
2023-02-27Sid & AndyMagic_8_Ball430000011204171550233106.608136.417.842%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-08-31David Campeauv4_computers212610.033
2010-07-21markroldgamer2612620.066
2011-12-09GrunwalderGIMPManual testing212630.343
2016-02-23Mark RoseManual testing2622630.211
2015-02-03JayderManual testing2632640.422
2015-02-04monstManual testing2642650.804
2015-07-07snme2pm1Manual testing2652661.607
2018-07-06BloodERazorManual testing2662673.214
2018-10-16chuenkitManual testing2672686.429
2021-03-21ANONYMOUSManual testing26827190.00
2021-03-24ANONYMOUSManual testing271272102.9


ECM factoring results:
Total ECM effort:1.606 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.606


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08Stephan Gruppv4_computers0E7E7F5C59AF0C030.612
1999-12-30ANONYMOUSv4_computersC27A5D37CF48D2F10.612
2001-03-25ANONYMOUSv4_computers0E7E7F5C59AF0C030.612


PRP results:
dateuseridcompidcofactorsres64
2023-03-02Naegi Makoto5950X
123668753355762222388513753074497
573FED898B519EE1


CERT results:
dateuseridcompid
2023-03-02crutanapc_x1


P-1 factor-bounds graph:
B1 = 4300000, B2 = 11204171550 (P-1 stage 2)
B1 = 1988203, B2 = 61634303 (P-1 stage 2)
B1 = 4300000 (P-1 stage 1)
B1 = 1988203 (P-1 stage 1)
B1 = 110000, B2 = 2090000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 206250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
268
267
266
265
264
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00