is 2 8436517 - 1
has 2539645 decimal digits
takes 2.203 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0DA25BFA53080809double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273226.733967.1233%1600000196334775041.07238.2794%267.806269.8453%
Target2687.065164.7059%5000055000000.13142.1896%7.196565.4787%
Difference+5+219.6688+2.4174%+1550000+1957847750+40.9409+6.0898%+260.6097+4.3666%

Known prime factors (1 factor, 135.7 bits, 0.00160889% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
84365177245691465949021522934551021334797940300141135.7344294243386191849979638843269879500
22 × 33 × 53 × 7 × 103 × 1427 × 137983 × 571789 × 1519237 × 2579329		2023-01-08151923725793291.729e+100.59711.1706

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-09-29Team Prime Ribv4_computers45000675000---0.030--0.956%
2012-07-29bcp19Toshiba-740Q1000001825000---0.073--1.556%
2021-12-15GdSManual testing10237343071200712---1.000--4.281%
2022-12-18yoyorocks1Manual testing1600000196334775041135.73441.074.40682.148.279%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-20ANONYMOUSv4_computers21261--0.036--
1998-10-11ANONYMOUSv4_computers21262--0.073--
1998-10-18ANONYMOUSv4_computers21263--0.189--
2000-01-12delongv4_computers21264--0.422--
2014-03-18lycornManual testing264265--0.443--
2015-05-26VictordeHollanderManual testing265266--0.886--
2016-01-07snme2pm1Manual testing266267--1.772--
2018-03-11monstManual testing267268--3.543--
2020-01-03TJAOIManual testing268269--7.086--
2021-08-20SRBaseManual testing269270--14.17--
2021-08-31SRBaseManual testing270271--28.34--
2021-10-05SRBaseManual testing271272--56.69--
2021-12-05-Anonymous-Manual testing272273--113.4--


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-08ANONYMOUSv4_computers0DA25BFA530808092.203
2001-12-08ANONYMOUSv4_computers0DA25BFA530808092.203
2002-10-07Team Prime Ribv4_computers0DA25BFA530808092.203


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-13rucio
72456914659490215229345510213347979403001
309A92D44EBC1DB1no


P-1 factor-bounds graph:
B1 = 1600000, B2 = 1963347750 (P-1 stage 2)
B1 = 1023734, B2 = 30712007 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1023734 (P-1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 675000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67.9
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
2100
2110
2120
2130
2140
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Last modified: 2023-10-02T12:12:48+00:00