is 2 7246417 - 1
has 2181389 decimal digits
takes 1.580 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L07A6E8A12D073ECCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273263.971168.4932%200000016143964200278.700110.4480%542.671271.7850%
Target2674.100565.6716%4500010000000.03072.3129%4.131266.4656%
Difference+6+259.8706+2.8215%+1955000+16142964200+278.6694+8.1350%+538.5400+5.3193%

Known prime factors (1 factor, 128.0 bits, 0.00176648% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
724641734190301115521306368395960419785304249739128.00723591176933042430740872323811744
25 × 3 × 7 × 2647 × 2711 × 10247 × 96221 × 1447759 × 3427157		2023-02-26144775934271572.190e+100.49190.9316

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22Darío Alejandro Guzikv4_computers35000262500---0.015--0.637%
2012-08-15Squeeky_SquirrelP4_2600900001620000---0.055--1.434%
2020-02-15player_3236MacBook26000050050006---0.164--2.363%
2022-01-01LuminescenceW-229510000002173404870---37.74--7.758%
2023-01-24yoyorocks1Manual testing20000001614396420039128.007278.73.160557.410.448%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-16ANONYMOUSv4_computers21261--0.042--
1998-08-16ANONYMOUSv4_computers21262--0.085--
2001-12-22ANONYMOUSv4_computers21263--0.220--
2012-03-09David CampeauManual testing263264--0.271--
2013-11-11David CampeauManual testing264265--0.516--
2015-06-16VictordeHollanderManual testing265266--1.031--
2016-10-16Gordon SpenceManual testing266267--2.062--
2018-08-03ramgeisManual testing267268--4.125--
2020-03-13TJAOIManual testing268269--8.250--
2021-08-19SRBaseManual testing269270--16.50--
2021-08-25SRBaseManual testing270271--33.00--
2021-09-28SRBaseManual testing271272--66.00--
2021-12-26-Anonymous-Manual testing272273--132.0--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22ANONYMOUSv4_computers07A6E8A12D073ECC1.580
2002-03-10Darío Alejandro Guzikv4_computers07A6E8A12D073ECC1.580


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-03krackerO0
341903011155213063683959604197853042497
BBF72FD0683343__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 16143964200 (P-1 stage 2)
B1 = 1000000, B2 = 2173404870 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 260000, B2 = 5005000 (P-1 stage 2)
B1 = 260000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 35000, B2 = 262500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67.7
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-03-25T13:08:14+00:00