is 2 2271301 - 1
has 683730 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6BD9378798E27642double-checked
PRP19E2C74C785F4E6Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26952.563268.1159%3000000900000000.73797.0677%53.301170.3694%2.2535%
PrimeNet2580.016962.0690%100001900000.00192.9213%0.018863.1770%1.1081%
GPU722620.270564.5161%120001900000.00211.7079%0.272665.1222%0.6060%
Difference+7+52.2927+3.5998%+2988000+89810000+0.7358+5.3598%+53.0285+5.2472%+5.2472%

Known prime factors (1 factor, 76.4 bits, 0.00336286% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2271301983699063972680207310712376.38121654969199870035
3 × 5 × 41 × 35211332032309
2021-11-23413521133203230911,048182,896341,600

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.184%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.167%
2010-11-13T11:54:00Jocelyn LaroucheManual testing3000030000---0.003--0.302%
2011-01-02T12:59:00markrtiny1000002100000---0.020--2.140%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128259128259---0.012--0.812%
2016-04-02T11:41:50Jocelyn LaroucheManual testing311040311040---0.030--1.303%
2016-04-05T00:01:45Jocelyn LaroucheManual testing373248671846412---0.069--3.497%
2016-04-13T21:46:47Jocelyn LaroucheManual testing3732481353403612---0.104--4.032%
2019-10-01T23:01:36BigBrotherWinston30000009000000012---0.738--7.068%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-16T04:42:00Sturle Sundeagrell.ifi260261--0.068--
2012-05-06T11:48:00Sebastian HornbostelManual testing261262--0.135--
2013-01-23T08:24:00dbaughManual testing262263--0.432--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.864--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.645--
2015-10-31T16:44:11ramgeisManual testing265266--3.290--
2017-01-16T00:47:37Gordon SpenceManual testing266267--6.580--
2019-04-29T13:20:30TJAOIManual testing267268--13.16--
2021-06-17T12:15:50TJAOIManual testing268269--26.32--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.970 GHz-days
Estimated T-Level:23.071
DigitsB1CurvesCompleteFacMiss
2011000172 / 1001.72017.752%
2550000172 / 2800.61454.043%

New Calculation Method

Total ECM effort:14.970 GHz-days
Estimated T-Level:23.071
DigitsB1CompleteFacMiss
20110005.5870.375%
25500000.50560.347%
302500000.03196.936%
3510000000.00199.858%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014912.81
50000500000020.172
50000515000070.609
500006750000141.378


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers6BD9378798E276420.149
2018-04-26T06:58:04kkmrkkblmbrbkold6BD9378798E276420.149


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-23T06:40:27Tucker KaoOld_Timer_2013
98369906397268020731071
19E2C74C785F4E6Bno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 373248, B2 = 13534036 (P-1 stage 2)
B1 = 373248, B2 = 6718464 (P-1 stage 2)
B1 = 373248 (P-1 stage 1)
B1 = 311040 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128259 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (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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Last modified: 2021-11-23T06:40:27+00:00