is 2 1400261 - 1
has 421521 decimal digits
takes 0.053 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE19427E6BDD916DCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.220368.6567%500000150000000.07144.9074%21.291770.1948%
Target2600.109765.0000%6000700000.00051.2426%0.110265.4349%
Difference+7+21.1106+3.6567%+494000+14930000+0.0709+3.6647%+21.1815+4.7599%

Known prime factors (1 factor, 68.2 bits, 0.00487099% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14002613405744655082264044072168.207121611065904223
7 × 37 × 469540794997
2014-07-223746954079499772.9051,416.32,645.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-09ANONYMOUSv4_computers2048204800---0.001--0.246%
2003-02-16ANONYMOUSv4_computers4096409600---0.001--0.500%
2003-09-21ANONYMOUSv4_computers15000202500---0.001--0.786%
2010-03-31Rob_Deetwopc200000400000---0.012--1.701%
2010-04-01Rob_Deetwopc400000600000---0.023--2.061%
2010-04-02Rob_Deetwopc600000800000---0.034--2.324%
2010-04-03Rob_Deetwopc8000001000000---0.045--2.537%
2010-04-04Rob_Deetwopc10000001200000---0.056--2.717%
2010-04-05Rob_Deetwopc12000001400000---0.067--2.874%
2010-04-06Rob_Deetwopc14000001600000---0.078--3.014%
2010-04-07Rob_Deetwopc16000001800000---0.089--3.140%
2010-04-08Rob_Deetwopc18000002000000---0.100--3.255%
2010-04-09Rob_Deetwopc20000002200000---0.111--3.361%
2010-04-10Rob_Deetwopc22000002400000---0.122--3.459%
2010-04-11Rob_Deetwopc24000002600000---0.133--3.550%
2010-04-12Rob_Deetwopc26000002800000---0.145--3.636%
2010-04-13Rob_Deetwopc28000003000000---0.156--3.717%
2010-04-14Rob_Deetwopc30000003200000---0.167--3.793%
2010-04-15Rob_Deetwopc32000003400000---0.178--3.866%
2010-04-16Rob_Deetwopc34000003600000---0.189--3.935%
2010-04-17Rob_Deetwopc36000003800000---0.200--4.001%
2010-04-18Rob_Deetwopc38000004000000---0.211--4.064%
2010-04-19Rob_Deetwopc40000004200000---0.222--4.124%
2010-04-20Rob_Deetwopc42000004400000---0.233--4.182%
2010-04-21Rob_Deetwopc44000004600000---0.244--4.238%
2010-04-22Rob_Deetwopc46000004800000---0.255--4.291%
2010-04-23Rob_Deetwopc48000005000000---0.266--4.343%
2010-04-24Rob_Deetwopc50000005100000---0.277--4.367%
2016-03-17alpertronManual testing5000001500000012---0.071--4.907%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27Jocelyn Larouchev4_computers21257--0.014--
2003-02-24ANONYMOUSv4_computers21258--0.027--
2003-03-27ANONYMOUSv4_computers21259--0.055--
2009-02-16Sturle Sundegibus.ifi260261--0.110--
2011-01-08BloodIceMjolnir4261262--0.219--
2011-04-05GrunwalderGIMPManual testing21263--1.140--


ECM factoring results:
Total ECM effort:25.367 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025011.76
50000500000010.047
250000350000005013.56


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Holger MüllerE19427E6BDD916DC0.053


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30Oliver KruseGTX-2
340574465508226404407
3D5A430E74974C__no
2017-10-25kkmrkkblmbrbkold
340574465508226404407
3D5A430E74974C__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 5100000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4800000, B2 = 5000000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4800000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4600000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4400000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4200000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 4000000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3800000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3600000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3400000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3200000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 3000000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2800000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2600000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2400000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2200000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 2000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1800000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1600000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1200000, B2 = 1400000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000, B2 = 1200000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 800000, B2 = 1000000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 800000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000, B2 = 600000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 400000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 15000, B2 = 202500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
263
262
261
259
258
257
this exponent TF target: 60
TF double-checked to: 67.7
ECM T-Level=25.7 ~= 69-bit
250
260
270
Last modified: 2023-03-25T13:08:14+00:00