is 2 4658603 - 1
has 1402380 decimal digits
takes 0.613 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4D3B1FB4A4FFDE28double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272205.283468.0556%430000011204171550117.318311.3064%322.601671.6673%
Target2651.566164.6154%280006000000.01132.1918%1.577465.3910%
Difference+7+203.7173+3.4402%+4272000+11203571550+117.3070+9.1146%+321.0243+6.2764%

Known prime factors (1 factor, 140.2 bits, 0.00300917% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4658603158460528150647451386808057767503875063472143140.185170073011319753423276042257483095120
24 × 5 × 29 × 67 × 211 × 1487 × 23899 × 527081 × 579533 × 477687557		2023-02-285795334776875573.322e+105.07349.2802

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-30Carsten Kossendeydurandal25000375000---0.008--0.680%
2012-02-14Squeeky_SquirrelT7500_22001100002090000---0.042--1.694%
2018-01-23Ismo Laitela6600K19882036163430312---1.000--5.339%
2023-02-28Sid & AndyMagic_8_Ball43000001120417155043140.185117.31.227234.611.306%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-30ANONYMOUSv4_computers21261--0.066--
2010-07-18markroldgamer261262--0.066--
2011-12-09GrunwalderGIMPManual testing21263--0.343--
2016-02-23Mark RoseManual testing262263--0.211--
2015-02-06JayderManual testing263264--0.421--
2015-02-07monstManual testing264265--0.802--
2015-07-08snme2pm1Manual testing265266--1.604--
2018-06-09BloodERazorManual testing266267--3.208--
2018-10-18chuenkitManual testing267268--6.416--
2021-03-16-Anonymous-Manual testing268269--12.83--
2021-03-16-Anonymous-Manual testing269270--25.67--
2021-03-16-Anonymous-Manual testing270271--51.33--
2021-03-23-Anonymous-Manual testing271272--102.7--


ECM factoring results:
Total ECM effort:1.770 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.770


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-20ANONYMOUSv4_computers4D3B1FB4A4FFDE280.613
2000-01-12ANONYMOUSv4_computers4D3B1FB4A4FFDE280.613


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-02Naegi Makoto5950X
1584605281506474513868080577675038750634721
51FA4A6168BBB9F0no


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 = 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
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Last modified: 2023-03-25T13:08:14+00:00