is 2 2287627 - 1
has 688645 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA3A76B3B346236D1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.055367.6471%3000000900000000.75827.6805%26.813570.1319%2.4849%
PrimeNet2580.016862.0690%100001900000.00192.9251%0.018763.1785%1.1095%
GPU722620.268664.5161%120002000000.00221.7357%0.270765.1320%0.6159%
Difference+6+25.7868+3.1309%+2988000+89800000+0.7560+5.9448%+26.5428+4.9999%+4.9999%

Known prime factors (1 factor, 76.7 bits, 0.00335231% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22876271217658991525306242474792476.68826614019495427057
32 × 2297 × 1287380617009
2020-08-06229712873806170099,813.36,870.612,832

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-04T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-07T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.201%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.258%
2010-11-25T22:15:00Oscar Östlin7501175011---0.007--0.678%
2011-01-16T03:20:00Oscar Östlin850001742500---0.017--2.234%
2014-06-11T02:09:00Jocelyn LaroucheManual testing113057113057---0.011--0.869%
2014-10-01T22:53:00Jocelyn LaroucheManual testing141114141114---0.014--0.986%
2016-01-01T13:48:31Jocelyn LaroucheManual testing35998335998306---0.053--3.357%
2019-10-08T17:23:10BigBrotherWinston30000009000000012---0.758--7.680%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-11T12:02:00Sturle Sundebruckner.ifi260261--0.067--
2012-05-11T18:47:00Sebastian HornbostelManual testing261262--0.134--
2013-08-20T21:26:00David CampeauManual testing262263--0.429--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.858--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.633--
2015-11-02T09:33:39ramgeisManual testing265266--3.267--
2017-05-21T02:33:14Gordon SpenceManual testing266267--6.533--
2019-07-24T10:13:49TJAOIManual testing267268--13.07--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.870 GHz-days
Estimated T-Level:4.450
DigitsB1CurvesCompleteFacMiss
201100089 / 1000.89040.882%
255000089 / 2800.31872.729%

New Calculation Method

Total ECM effort:7.870 GHz-days
Estimated T-Level:4.450
DigitsB1CompleteFacMiss
20110002.8715.664%
25500000.25977.146%
302500000.01698.415%


ECM Summary

B1B2factorcurvesGHz-days
500005000000877.693
50000500000020.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersA3A76B3B346236D10.155
2018-04-28T16:14:05kkmrkkblmbrbkoldA3A76B3B346236D10.155


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-06T18:04:05riccardo ubertiColab_noGPU12
121765899152530624247479
44808EB28DBEDF46no
2020-08-07T13:38:50kutensrigel
121765899152530624247479
44808EB28DBEDF46no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 359983, B2 = 3599830 (P-1 stage 2)
B1 = 359983 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141114 (P-1 stage 1)
B1 = 113057 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-08-07T13:38:50+00:00