is 2 4683121 - 1
has 1409760 decimal digits
takes 0.617 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD755AC77C9A12A61double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272204.208668.0556%430000011204171550117.318311.3114%321.526971.6689%
Target2651.557964.6154%300006000000.01172.2313%1.569565.4049%
Difference+7+202.6507+3.4402%+4270000+11203571550+117.3066+9.0801%+319.9574+6.2640%

Known prime factors (1 factor, 135.2 bits, 0.00288783% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
46831215145555969218067396053636111104818529627341135.2405493725198663527374216506589414216
23 × 3 × 7 × 397 × 467 × 1583 × 78301 × 517747 × 565583 × 4859461		2023-03-0556558348594613.339e+100.15260.2198

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-09-14Carsten Kossendeydurandal25000381250---0.008--0.684%
2013-08-05Squeeky_SquirrelT7500_22001450002972500---0.057--1.965%
2021-11-03Aaron HavilandManual testing4800001440000012---0.236--3.430%
2023-03-05Sid & AndyMagic_8_Ball43000001120417155041135.240117.31.233234.611.311%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17ANONYMOUSv4_computers21261--0.066--
2010-07-08markrut261262--0.066--
2011-12-11GrunwalderGIMPManual testing21263--0.341--
2016-02-23Mark RoseManual testing262263--0.210--
2015-02-17JayderManual testing263264--0.419--
2015-02-17monstManual testing264265--0.798--
2015-07-09snme2pm1Manual testing265266--1.596--
2018-06-03BloodERazorManual testing266267--3.191--
2018-10-10YxinityManual testing267268--6.383--
2021-03-22-Anonymous-Manual testing268269--12.77--
2021-03-22-Anonymous-Manual testing269270--25.53--
2021-03-22-Anonymous-Manual testing270271--51.06--
2021-03-23-Anonymous-Manual testing271272--102.1--


ECM factoring results:
Total ECM effort:1.773 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.773


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26ANONYMOUSv4_computersD755AC77C9A12A610.617
2000-01-25ANONYMOUSv4_computersD755AC77C9A12A610.617


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-11krackerO0
51455559692180673960536361111048185296273
8600B58C5B1DC407no


P-1 factor-bounds graph:
B1 = 4300000, B2 = 11204171550 (P-1 stage 2)
B1 = 4300000 (P-1 stage 1)
B1 = 480000, B2 = 14400000 (P-1 stage 2)
B1 = 480000 (P-1 stage 1)
B1 = 145000, B2 = 2972500 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 25000, B2 = 381250 (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
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-03-25T13:08:14+00:00