is 2 237313 - 1
has 71439 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2022-08-08, 0.0% done, ETC 2022-08-09
0 primality tests remaining
ResidueStatus
L-LEABFB03B428405__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267125.209873.1343%30000000101202470268904,486.311423.3503%4,611.521279.4076%6.2732%
PrimeNet2400.000055.0000%2600650000.000013.9106%0.000061.2598%6.2598%
GPU722440.000059.0909%45001000000.00019.8835%0.000163.1342%4.0433%
Difference+23+125.2098+14.0434%+29995500+10120246926890+4,486.3113+13.4668%+4,611.5211+16.2734%+16.2734%

Known prime factors (1 factor, 67.5 bits, 0.02845237% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2373132117867077262205042012167.521446218091141700
22 × 3 × 52 × 1487393637139
2007-11-10251487393637139203.73659.331,231.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.226%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.691%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.538%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.214%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.019%
2003-10-31T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.940%
2021-07-12T10:23:55Oliver KruseOllaptop30000000300000000024---1.561--12.519%
2022-04-02T17:27:38Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 211786707726220504201
--4,486--23.350%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:43LordJuliusManual testing254255--0.010--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.040--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.081--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.386 GHz-days
Estimated T-Level:27.469
DigitsB1CurvesCompleteFacMiss
2011000620 / 1006.2000.197%
2550000590 / 2802.10712.113%
30250000316 / 6400.49461.010%

New Calculation Method

Total ECM effort:11.386 GHz-days
Estimated T-Level:27.469
DigitsB1CompleteFacMiss
201100040.0450.000%
25500005.5100.405%
302500000.56356.977%
3510000000.04595.570%
4030000000.00399.701%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.039
5000050000002741.635
250000250000002607.759
25000036250000210.720
25000038500000351.232


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-16T00:00:00ANONYMOUSv4_computersEABFB03B428405__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:40:56Oliver KruseOllaptop
211786707726220504201
7545D17562915C__no
2017-09-22T10:05:19Oliver KruseManual testing
211786707726220504201
7545D17562915C__no
2017-10-12T15:39:32kkmrkkblmbrbkc4.xlarge7545D17562915C__no
2020-04-17T20:05:00Oliver KruseAddPrpType5
211786707726220504201
641FB379E32706__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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 = 100000, B2 = 4000000 (P-1 stage 2)
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 = 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: 2022-08-09T03:25:05+00:00