is 2 6971 - 1
has 2099 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L5471F7BDE402EAE5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2674,262.504380.5970%60000000000480000000000039.224123.9189%4,301.7284104.5159%37.0159%
PrimeNet2400.000067.5000%500100000.00002.7873%0.000070.2873%2.7873%
GPU722440.000370.4545%500100000.00001.1304%0.000371.5850%1.1304%
Difference+23+4,262.5040+10.1425%+59999999500+4799999990000+39.2241+22.7885%+4,301.7281+32.9310%+32.9310%

Known prime factors:
No known factors for M6,971

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers1000000100000000---0.001--4.002%
2001-06-23T00:00:00ANONYMOUSv4_computers430000004290000000---0.034--10.118%
2001-08-24T00:00:00ANONYMOUSv4_computers30000000004290000000---0.378--11.172%
2002-06-09T00:00:00ANONYMOUSv4_computers10737418244290000000---0.154--11.219%
2002-06-15T00:00:00ANONYMOUSv4_computers10737418244290000000---0.154--11.219%
2002-08-17T00:00:00ANONYMOUSv4_computers21474836484290000000---0.279--11.209%
2002-10-07T00:00:00ANONYMOUSv4_computers32212254724290000000---0.404--11.162%
2002-10-12T00:00:00ANONYMOUSv4_computers32212254724290000000---0.404--11.162%
2003-02-02T00:00:00ANONYMOUSv4_computers42900000002147483647---0.529--11.110%
2013-04-08T18:31:00Le ComteS761100000000002147483647---1.233--12.519%
2016-11-04T16:31:29mikrS05260000000000480000000000012---39.22--23.919%
2016-11-26T01:37:25ANONYMOUSManual testing100000000000100000000000012---18.37--21.057%


P+1 Factoring results:
dateuseridcompidb1b2startfactordigitsbits*ghz-days
2021-05-13T04:02:46ATH5960X100000000024100000000027--1.767


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.086--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.172--
2000-02-23T00:00:00ANONYMOUSv4_computers254255--0.344--
2000-07-25T00:00:00ANONYMOUSv4_computers?256--1.377--
2000-08-01T00:00:00ANONYMOUSv4_computers?256--1.377--
2002-12-25T00:00:00ANONYMOUSv4_computers?257--2.754--
2016-02-23T04:51:17LaurVManual testing257258--2.754--
2010-08-10T14:33:00chalsallManual testing258259--5.508--
2010-08-10T14:33:00chalsallManual testing259260--11.02--
2012-11-08T17:57:00bcp19Manual testing260261--22.03--
2015-08-23T15:27:00Sid & AndyWoody261262--44.07--
2016-11-30T02:41:24snme2pm1G1262263--140.8--
2017-09-14T23:04:03snme2pm1Manual testing263264--281.6--
2021-01-26T15:02:20Ruslan BorisovManual testing264265--536.0--


ECM factoring results:
Total ECM effort:488,923.950 GHz-days
Estimated T-Level:50.835
DigitsB1CurvesCompleteFacMiss
201100025253 / 100252.5300.000%
255000025253 / 28090.1890.000%
3025000024973 / 64039.0200.000%
35100000024333 / 158015.4010.000%
40300000022453 / 47004.7770.841%
451100000022453 / 97002.3159.878%
504400000021453 / 171001.25528.519%
551100000007766 / 465000.16784.619%
602600000005956 / 1120000.05394.821%
658000000003428 / 3600000.01099.052%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.025
250000250000006400.284
10000001000000001,8803.334
1100000011000000001,00019.51
44000000440000000013,6871,068
110000000110000000001,810353.1
26000000031785598845162,52847,142
850000000148993823979182,796243,171
10000000001907117672461643648,491
2900000000105101237217912180109,763
76000000004200000000000001638,913


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testing5471F7BDE402EAE55.92535e-7


PRP results:
Exponent "6971" not found


P-1 factor-bounds graph:
B1 = 60000000000, B2 = 4800000000000 (stage 2)
B1 = 100000000000, B2 = 1000000000000 (stage 2)
B1 = 100000000000 (stage 1)
B1 = 60000000000 (stage 1)
B1 = 10000000000 (stage 1)
B1 = 4290000000 (stage 1)
B1 = 3221225472, B2 = 4290000000 (stage 2)
B1 = 3221225472 (stage 1)
B1 = 3000000000, B2 = 4290000000 (stage 2)
B1 = 3000000000 (stage 1)
B1 = 2147483648, B2 = 4290000000 (stage 2)
B1 = 2147483648 (stage 1)
B1 = 1073741824, B2 = 4290000000 (stage 2)
B1 = 1073741824 (stage 1)
B1 = 43000000, B2 = 4290000000 (stage 2)
B1 = 43000000 (stage 1)
B1 = 1000000, B2 = 100000000 (stage 2)
B1 = 1000000 (stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-13T04:02:46+00:00