is 2 3012367 - 1
has 906813 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP2542525FBC980CEEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.632268.1159%32739744186616540816.368012.6559%56.000272.1511%4.0352%
PrimeNet2600.051063.3333%120002200000.00292.5170%0.053964.2562%0.9229%
GPU722641.181665.6250%130002200000.00301.4274%1.184666.1157%0.4907%
Difference+5+38.4506+2.4909%+32726744+1865945408+16.3650+11.2284%+54.8156+6.0355%+6.0355%

Known prime factors (1 factor, 80.2 bits, 0.00266159% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
301236713667239924658799858071512580.177226852171808063225
52 × 2173573 × 4174732973
2021-11-0421735734174732973160,55128.32452.427

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.200%
2010-10-18T15:08:00markrtiny1150002357500---0.029--2.365%
2010-12-26T11:01:00Rob_Deetwopc150000200000---0.019--1.087%
2010-12-27T10:06:00Rob_Deetwopc200000250000---0.025--1.222%
2010-12-28T09:22:00Rob_Deetwopc250000300000---0.031--1.339%
2010-12-29T08:52:00Rob_Deetwopc300000350000---0.037--1.443%
2010-12-30T10:02:00Rob_Deetwopc350000400000---0.044--1.536%
2010-12-31T09:16:00Rob_Deetwopc400000450000---0.050--1.621%
2011-01-01T08:24:00Rob_Deetwopc450000500000---0.056--1.700%
2011-01-02T08:12:00Rob_Deetwopc500000550000---0.062--1.772%
2011-01-03T07:51:00Rob_Deetwopc550000600000---0.068--1.840%
2011-01-04T09:08:00Rob_Deetwopc600000650000---0.074--1.904%
2011-01-05T09:11:00Rob_Deetwopc650000700000---0.081--1.964%
2011-01-06T08:39:00Rob_Deetwopc700000750000---0.087--2.021%
2011-01-07T09:09:00Rob_Deetwopc750000800000---0.093--2.075%
2011-01-08T08:31:00Rob_Deetwopc800000850000---0.099--2.126%
2011-01-09T09:45:00Rob_Deetwopc850000900000---0.105--2.175%
2011-01-10T17:35:00Rob_Deetwopc9500001000000---0.118--2.268%
2011-01-11T08:54:00Rob_Deetwopc10000001100000---0.124--2.353%
2016-08-06T10:03:09trebor20000002000000---0.247--2.927%
2016-08-18T03:34:31trebor22500002250000---0.278--3.048%
2016-08-20T12:00:27trebor25000002500000---0.309--3.158%
2016-08-22T16:15:38trebor27500002750000---0.339--3.260%
2016-08-24T14:47:45trebor30000003000000---0.370--3.355%
2019-04-22T05:26:57oodairacom532739744186616540812---16.37--12.656%
2022-01-26T04:01:32Jocelyn LaroucheManual testing1000000119912100---0.923--6.838%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-27T06:32:00Jayson Kingatlas260261--0.051--
2010-09-08T16:49:00Sid & AndyBuzz261262--0.102--
2013-01-07T13:52:00dbaughManual testing262263--0.326--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.652--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.240--
2015-06-01T12:17:00ThaManual testing265266--2.481--
2017-02-06T12:13:40Smok_bmvManual testing266267--4.961--
2022-01-19T23:21:42Jocelyn LaroucheManual testing267268--9.92--
2018-07-16T08:59:43ramgeisManual testing267268--9.92--
2021-04-15T09:04:47TJAOIManual testing268269--19.85--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.767 GHz-days
Estimated T-Level:4.550
DigitsB1CurvesCompleteFacMiss
201100091 / 1000.91040.068%
255000091 / 2800.32572.211%

New Calculation Method

Total ECM effort:10.767 GHz-days
Estimated T-Level:4.550
DigitsB1CompleteFacMiss
20110002.9595.189%
25500000.26776.572%
302500000.01698.369%


ECM Summary

B1B2factorcurvesGHz-days
50000480000070.799
500005000000647.438
50000500000060.697
50000612550770.894
50000675000070.939


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersEF01ADCC06386F__0.256


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-07T15:26:31SRJ2877LTOS
1366723992465879985807151
2542525FBC980CEEno


P-1 factor-bounds graph:
B1 = 32739744, B2 = 1866165408 (P-1 stage 2)
B1 = 32739744 (P-1 stage 1)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2750000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 2250000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 950000, B2 = 1000000 (P-1 stage 2)
B1 = 950000 (P-1 stage 1)
B1 = 850000, B2 = 900000 (P-1 stage 2)
B1 = 850000 (P-1 stage 1)
B1 = 800000, B2 = 850000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 750000, B2 = 800000 (P-1 stage 2)
B1 = 750000 (P-1 stage 1)
B1 = 700000, B2 = 750000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 650000, B2 = 700000 (P-1 stage 2)
B1 = 650000 (P-1 stage 1)
B1 = 600000, B2 = 650000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 550000, B2 = 600000 (P-1 stage 2)
B1 = 550000 (P-1 stage 1)
B1 = 500000, B2 = 550000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 450000, B2 = 500000 (P-1 stage 2)
B1 = 450000 (P-1 stage 1)
B1 = 400000, B2 = 450000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 350000, B2 = 400000 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 300000, B2 = 350000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 250000, B2 = 300000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 200000, B2 = 250000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 150000, B2 = 200000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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267
266
265
264
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2100
Last modified: 2022-01-26T04:01:32+00:00