is 2 7261909 - 1
has 2186053 decimal digits
takes 1.583 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L03F5CE54266B57FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual274526.840268.9189 %1600000016207354800283.977511.8614 %810.817772.6056 %
Target2674.091865.6716 %4500050000000.09962.3137 %4.191366.4659 %
Difference+7+522.7485+3.2473 %+15955000+16202354800+283.8779+9.5477%+806.6263+6.1397 %

Known prime factors:
No known factors for M7261909

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-08ANONYMOUSv4_computers3500035000--0.0110.604%
2002-03-10ANONYMOUSv4_computers35000358750--0.0171.657%
2006-02-01ANONYMOUSv4_computers35000358750--0.0171.657%
2012-07-28NesowaEPC9000016200006--0.0552.985%
2020-03-08player_3236Pavilion26000050050006--0.1644.479%
2022-12-05yoyorocks1Manual testing1600000016207354800--340.018.125%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-21ANONYMOUSv4_computers212620.042
1999-10-15ANONYMOUSv4_computers212630.135
2013-11-03NesowaManual testing2632640.270
2013-11-19David CampeauManual testing2642650.515
2015-06-16VictordeHollanderManual testing2652661.029
2016-10-16Gordon SpenceManual testing2662672.058
2018-07-23ramgeisManual testing2672684.116
2020-03-27TJAOIManual testing2682698.232
2021-08-19SRBaseManual testing26927016.46
2021-08-25SRBaseManual testing27027132.93
2021-09-28SRBaseManual testing27127265.86
2021-12-26ANONYMOUSManual testing272273131.7
2022-12-09yoyorocks1Manual testing273274263.4


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)
2000-05-05ivanv4_computers03F5CE54266B57FC1.584
2002-04-20ANONYMOUSv4_computers03F5CE54266B57FC1.584
2006-02-01ANONYMOUSv4_computers03F5CE54266B57FC1.584


PRP results:
No PRP results for M7261909


CERT results:
No CERT results for M7261909


P-1 factor-bounds graph:
B1 = 16000000, B2 = 16207354800 (P-1 stage 2)
B1 = 16000000 (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 = 358750 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00