is 2 2257391 - 1
has 679543 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L8825D339A5C93D0Bdouble-checked
PRP580A0B69E7C33F44

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26952.887168.1159%12000001212000000.73776.7784%53.624870.2772%2.1612%
PrimeNet2580.017062.0690%100001900000.00192.9180%0.018963.1758%1.1068%
GPU722620.272264.5161%120001900000.00211.7059%0.274265.1214%0.6053%
Difference+7+52.6149+3.5998%+1188000+121010000+0.7356+5.0725%+53.3506+5.1557%+5.1557%

Known prime factors (1 factor, 126.2 bits, 0.00558871% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22573919498519598691298578118497262627315724938126.15921038711500779657972673979081664
26 × 33 × 7 × 47 × 83 × 353 × 1877 × 13037 × 566633 × 91092559
2021-06-20566633910925597.548e+100.52420.8837

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.166%
2010-11-12T11:43:00Jocelyn LaroucheManual testing3000030000---0.003--0.302%
2011-01-05T15:54:00markrtiny1000002075000---0.020--2.132%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128433128433---0.012--0.812%
2016-03-25T01:19:00Jocelyn LaroucheManual testing34214434214406---0.049--2.958%
2019-06-28T20:21:42BigBrotherWinston10000002000000012---0.194--4.902%
2021-06-20T05:12:04Dylan Delgadolaptop-ryzen73700120000012120000038126.1590.7380.2971.4756.778%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers?258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-11T09:20:00Sturle Sundegluck.ifi260261--0.068--
2012-05-04T18:48:00Sebastian HornbostelManual testing261262--0.136--
2013-12-04T06:19:00LaurVManual testing262263--0.435--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.870--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.655--
2015-10-29T11:36:23ramgeisManual testing265266--3.310--
2017-01-16T00:47:34Gordon SpenceManual testing266267--6.621--
2017-01-15T20:22:11ConductorManual testing266267--6.621--
2019-05-13T13:38:16TJAOIManual testing267268--13.24--
2021-06-17T12:15:59TJAOIManual testing268269--26.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.889 GHz-days
Estimated T-Level:22.857
DigitsB1CurvesCompleteFacMiss
2011000160 / 1001.60020.028%
2550000160 / 2800.57156.414%

New Calculation Method

Total ECM effort:13.889 GHz-days
Estimated T-Level:22.857
DigitsB1CompleteFacMiss
20110005.1840.560%
25500000.46862.604%
302500000.02997.156%
3510000000.00199.868%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014612.54
50000615000070.659
50000675000070.688


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers8825D339A5C93D0B0.148
2018-04-23T23:54:49kkmrkkblmbrbkold8825D339A5C93D0B0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-21T04:17:58M89093871
94985195986912985781184972626273157249
580A0B69E7C33F44no


P-1 factor-bounds graph:
B1 = 1200000, B2 = 121200000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128433 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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109
TF factor-bounds graph:
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Last modified: 2021-06-21T04:17:58+00:00