is 2 262897 - 1
has 79140 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA3252A59D8EFEF74double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267113.024971.6418%262144262144000.01663.9934%113.041572.7742%1.1324%
PrimeNet2400.000052.5000%2800700000.000114.4252%0.000159.3520%6.8520%
GPU722440.000056.8182%50001200000.000110.5696%0.000161.3823%4.5641%
Difference+23+113.0249+14.8236%+257144+26094400+0.0165-6.5762%+113.0414+11.3919%+11.3919%

Known prime factors (1 factor, 68.1 bits, 0.02588877% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2628973078497121318112528072168.061585494912706899
13 × 45038070208223
2008-02-181345038070208223433.4024,31345,410

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-04T00:00:00ANONYMOUSv4_computers950003800000---0.003--2.209%
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.732%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.567%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.251%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.064%
2003-11-16T00:00:00ANONYMOUSv4_computers26214426214400---0.017--3.993%
2006-01-15T00:00:00Jocelyn Larouchev4_computers262897262897---0.003--1.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T05:52:37LordJuliusManual testing254255--0.009--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.037--
2002-03-31T00:00:00ANONYMOUSv4_computers21257--0.073--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.146--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.367 GHz-days
Estimated T-Level:26.938
DigitsB1CurvesCompleteFacMiss
2011000526 / 1005.2600.506%
2550000526 / 2801.87915.230%
30250000248 / 6400.38867.855%

New Calculation Method

Total ECM effort:11.367 GHz-days
Estimated T-Level:26.938
DigitsB1CompleteFacMiss
201100033.6830.000%
25500004.5441.063%
302500000.45663.389%
3510000000.03696.436%
4030000000.00299.762%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002782.027
250000250000001997.257
2500003525000070.290
25000036750000140.590
2500003800000070.299
25000038500000210.903


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20T00:00:00ANONYMOUSv4_computersA3252A59D8EFEF740.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:44:03Oliver KruseOllaptop
307849712131811252807
10AFF0B68B609E__no
2017-09-22T10:07:02Oliver KruseManual testing
307849712131811252807
10AFF0B68B609E__no
2017-10-12T19:17:41kkmrkkblmbrbkc4.xlarge10AFF0B68B609E__no
2020-04-17T21:12:30Oliver KruseAddPrpType5
307849712131811252807
DED1C72EED32D9__no


P-1 factor-bounds graph:
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 262897 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-14T00:24:33+00:00