is 2 4607311 - 1
has 1386939 decimal digits
takes 0.607 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L51192D4F8B1B244Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272207.568768.0556%430000011204171550117.318311.2959%324.887071.6640%
Target2651.583564.6154%280006000000.01132.1876%1.594865.3895%
Difference+7+205.9852+3.4402%+4272000+11203571550+117.3070+9.1082%+323.2922+6.2745%

Known prime factors (1 factor, 135.1 bits, 0.00293194% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
46073114615807058099089749716992282384167374637741135.0845009220191668296051337745902527708
22 × 3 × 41 × 46171 × 422083 × 467147 × 1255049 × 891094231		2023-02-2112550498910942314.086e+109.495417.312

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-09-12Carsten Kossendeydurandal25000375000---0.008--0.678%
2012-01-20Squeeky_SquirrelT7500_22001100002035000---0.041--1.680%
2017-12-11Ismo Laitela6600K19882036163430312---1.000--5.333%
2023-02-21Sid & AndyMagic_8_Ball43000001120417155041135.084117.31.213234.611.296%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18ANONYMOUSv4_computers21261--0.067--
2010-08-08markrut261262--0.067--
2011-12-09GrunwalderGIMPManual testing21263--0.346--
2016-02-23Mark RoseManual testing262263--0.213--
2015-01-16JayderManual testing263264--0.426--
2015-01-17monstManual testing264265--0.811--
2015-07-04snme2pm1Manual testing265266--1.622--
2018-05-01Gordon SpenceManual testing266267--3.244--
2018-09-28chuenkitManual testing267268--6.488--
2021-03-21-Anonymous-Manual testing268269--12.98--
2021-03-21-Anonymous-Manual testing269270--25.95--
2021-03-21-Anonymous-Manual testing270271--51.90--
2021-03-23-Anonymous-Manual testing271272--103.8--


ECM factoring results:
Total ECM effort:1.766 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.766


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Henning Lebius51192D4F8B1B244E0.607
2015-11-14MadPooManual testing51192D4F8B1B244E0.607


PRP results:
dateuseridcompidcofactorsres64PRP
2023-02-27LordJuliusi79700_Para
46158070580990897497169922823841673746377
2A615161DFF6F918no


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 = 2035000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 25000, B2 = 375000 (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
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 65
TF double-checked to: 67.7
ECM T-Level=1.73 ~= -11-bit
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270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-03-25T13:08:14+00:00