is 2 2301281 - 1
has 692755 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-L590FB6F3FA28F989double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.911967.1642%50000005000000003.131510.9574%16.043470.7621%3.5979%
PrimeNet2580.016762.0690%100001900000.00192.9283%0.018663.1797%1.1107%
GPU722620.267064.5161%120002000000.00221.7377%0.269165.1327%0.6166%
Difference+5+12.6449+2.6481%+4988000+499800000+3.1294+9.2197%+15.7743+5.6294%+5.6294%

Known prime factors (1 factor, 75.2 bits, 0.00326589% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2301281421306605660240499620732375.1579153741017725356
22 × 3 × 13 × 2699 × 21740580599
2017-10-192699217405805996,244.3116.03216.71

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-25T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2010-02-12T10:20:00Budannan50000010000000---0.100--4.820%
2018-02-15T19:16:58alpertronManual testing5000001500000012---0.126--5.210%
2021-04-06T15:25:13ViliamF35000000500000000---3.132--10.957%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27T14:41:57Dylan Delgadolaptop-ryzen73700200000014600000027--1.023


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-21T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:11Mark RoseManual testing258260--0.050--
2009-01-15T01:28:00Sturle Sundegoose.ifi260261--0.067--
2012-05-12T16:02:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:47:00Jerry HallettManual testing262263--0.427--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.853--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.624--
2015-10-21T10:28:10ramgeisManual testing265266--3.247--
2017-05-31T02:32:33Gordon SpenceManual testing266267--6.494--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.513 GHz-days
Estimated T-Level:2.550
DigitsB1CurvesCompleteFacMiss
201100051 / 1000.51059.896%
255000051 / 2800.18283.321%

New Calculation Method

Total ECM effort:4.513 GHz-days
Estimated T-Level:2.550
DigitsB1CompleteFacMiss
20110001.96214.064%
25500000.18183.402%
302500000.01198.862%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.655
500005000000211.858


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers590FB6F3FA28F9890.155


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-20T04:46:17YarBerManual testing
42130660566024049962073
33AA4D7CF3FEE5__no
2017-10-20T08:06:00Oliver KruseGTX-3
42130660566024049962073
33AA4D7CF3FEE5__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 500000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2021-04-27T14:41:57+00:00