is 2 2134507 - 1
has 642551 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCC225A275D31240Edouble-checked
PRPCA08969D8D3E0A05PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.924467.6471%25000001250000000.87467.9112%28.799170.2066%2.5595%
PrimeNet2580.018062.0690%90001700000.00172.7300%0.019763.1045%1.0355%
GPU722620.287864.5161%100001500000.00171.4868%0.289565.0437%0.5276%
Difference+6+27.6366+3.1309%+2490000+124850000+0.8730+6.4244%+28.5096+5.1629%+2.0319%

Known prime factors (1 factor, 78.5 bits, 0.00367712% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21345074239885381655206645289432478.48899317673393790853
16976111 × 5850437323
2021-06-2016976111585043732355,45331.91956.758

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2010-10-25T22:11:00Oscar Östlin7501175011---0.007--0.669%
2010-11-25T11:22:00Oscar Östlin800001500000---0.015--2.102%
2013-11-13T18:49:00c10ck3rManual testing50000010000000---0.097--4.329%
2017-10-04T11:21:01mikrMSI250000012500000012---0.875--7.911%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T12:57:00Sturle Sundedittersdorf.ifi260261--0.072--
2012-04-15T15:48:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.460--
2015-03-18T10:55:00VictordeHollanderManual testing263264--0.920--
2015-03-18T10:55:00VictordeHollanderManual testing264265--1.750--
2015-12-27T16:49:13ramgeisManual testing265266--3.501--
2016-10-29T15:24:09Gordon SpenceManual testing266267--7.002--
2019-04-22T13:11:43TJAOIManual testing267268--14.00--


ECM factoring results:
Total ECM effort:15.401 GHz-days
Estimated T-Level:23.164
DigitsB1CompleteFacMiss
20110006.8490.106%
25500000.63353.112%
302500000.04096.084%
3510000000.00299.813%


ECM Summary

B1B2factorcurvesGHz-days
40000600000030.247
50000500000015913.56
50000645000070.668
50000675000070.682
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersCC225A275D31240E0.140
2018-04-06T16:12:11kkmrkkblmbrbkoldCC225A275D31240E0.140


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-21T14:15:05kutensrigel
423988538165520664528943
CA08969D8D3E0A05no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
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108
102
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104
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
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2100
Last modified: 2021-06-21T14:15:05+00:00