is 2 2280869 - 1
has 686610 decimal digits
takes 0.150 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L77FA07462F28B290double-checked
PRPA4E92A63D0F871F9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.132567.6471%51898451898400.07373.8071%26.206368.8788%1.2317%
PrimeNet2580.016862.0690%100001900000.00192.9235%0.018763.1779%1.1089%
GPU722620.269464.5161%120002000000.00211.7347%0.271565.1317%0.6155%
Difference+6+25.8632+3.1309%+506984+4989840+0.0716+2.0724%+25.9348+3.7471%+3.7471%

Known prime factors (1 factor, 77.3 bits, 0.00339033% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22808691898314585433252205619212477.32941613845105379840
29 × 3 × 5 × 19 × 59 × 211 × 22908073
2020-08-315122290807316,7310.11900.2222

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-07T01:16:00Jocelyn LaroucheManual testing1500015000---0.001--0.201%
2010-11-14T20:17:00Jocelyn LaroucheManual testing2000020000---0.002--0.258%
2010-11-24T13:39:00Oscar Östlin7501175011---0.007--0.678%
2011-01-15T01:30:00Oscar Östlin850001742500---0.017--2.233%
2014-06-11T02:09:00Jocelyn LaroucheManual testing113140113140---0.011--0.869%
2014-10-06T21:12:00Jocelyn LaroucheManual testing141280141280---0.013--0.986%
2016-01-23T12:46:39Jocelyn LaroucheManual testing51898451898406---0.074--3.807%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-15T16:43:00Sturle Sundegowin.ifi260261--0.067--
2012-05-09T17:48:00Sebastian HornbostelManual testing261262--0.135--
2013-01-23T08:24:00dbaughManual testing262263--0.430--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.861--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.638--
2015-11-01T21:51:01ramgeisManual testing265266--3.276--
2017-02-13T09:31:36Smok_bmvManual testing266267--6.553--
2019-09-10T14:32:17YxinityManual testing267268--13.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.602 GHz-days
Estimated T-Level:21.786
DigitsB1CurvesCompleteFacMiss
2011000100 / 1001.00036.603%
2550000100 / 2800.35769.923%

New Calculation Method

Total ECM effort:8.602 GHz-days
Estimated T-Level:21.786
DigitsB1CompleteFacMiss
20110003.2263.972%
25500000.29274.711%
302500000.01898.221%


ECM Summary

B1B2factorcurvesGHz-days
500005000000938.000
50000500000070.602


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers77FA07462F28B2900.150
2018-04-27T16:16:30kkmrkkblmbrbkold77FA07462F28B2900.150


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-01T02:01:43jvang3600
189831458543325220561921
A4E92A63D0F871F9no


P-1 factor-bounds graph:
B1 = 518984, B2 = 5189840 (P-1 stage 2)
B1 = 518984 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141280 (P-1 stage 1)
B1 = 113140 (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)
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TF factor-bounds graph:
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265
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2100
Last modified: 2020-09-01T02:01:43+00:00