is 2 710971 - 1
has 214024 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L402978341E0F2907double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26741.793470.1493%210000009000000001.995011.5922%43.788573.6096%3.4603%
PrimeNet2400.000050.0000%65002600000.000621.5099%0.000660.7550%10.7550%
GPU722440.000054.5455%120004500000.001016.5293%0.001062.0588%7.5133%
Difference+23+41.7934+15.6038%+20988000+899550000+1.9940-4.9372%+43.7874+11.5508%+11.5508%

Known prime factors (1 factor, 93.0 bits, 0.01308309% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
710971100205040636445169580355153272993.0177047055409886280142253
35 × 82883 × 349893561094837
2021-05-01828833498935610948373.794e+9552,0641,031,102

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.635%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.244%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.871%
2002-11-02T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.638%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.638%
2003-06-09T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.532%
2008-11-17T01:13:00Jayson Kingatlas5000000160000000---0.389--8.422%
2016-05-18T10:31:08mikrS0582100000090000000012---1.995--11.592%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-08T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-10T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.054--
2008-10-12T07:41:00Sturle Sundehummel.ifi258259--0.054--
2008-10-12T08:19:00Sturle Sundehummel.ifi259260--0.108--
2010-06-29T22:20:00Architects Cubedm1_fw260261--0.216--
2015-02-27T10:54:00NRManual testing261262--0.432--
2015-10-13T09:16:57Gordon SpenceManual testing262263--1.381--
2015-10-13T09:16:57Gordon SpenceManual testing263264--2.761--
2017-01-19T00:51:03ConductorManual testing264265--5.255--
2017-07-04T03:25:50Smok_bmvManual testing265266--10.51--
2020-05-08T00:19:25Gordon SpenceManual testing266267--21.02--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.084 GHz-days
Estimated T-Level:25.398
DigitsB1CurvesCompleteFacMiss
2011000331 / 1003.3103.591%
2550000331 / 2801.18230.597%
3025000051 / 6400.08092.335%

New Calculation Method

Total ECM effort:12.084 GHz-days
Estimated T-Level:25.398
DigitsB1CompleteFacMiss
201100013.2820.000%
25500001.43123.912%
302500000.11788.995%
3510000000.00899.221%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002806.324
25000025000000444.969
2500002500000070.791


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:45:00MadPooManual testing402978341E0F29070.014


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-02T19:07:54Yuji HASEGAWAvj20a
10020504063644516958035515327
3228A19C12F390__no
2021-05-03T14:16:34marssystemssystem11
10020504063644516958035515327
3228A19C12F39077no


P-1 factor-bounds graph:
B1 = 21000000, B2 = 900000000 (P-1 stage 2)
B1 = 21000000 (P-1 stage 1)
B1 = 5000000, B2 = 160000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-03T14:16:34+00:00