is 2 21101 - 1
has 6353 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD18F46EA8421F412double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,408.175877.6119%25000000000250024693185267063,217.210434.7392%64,625.386285.3894%7.7774%
PrimeNet2400.000062.5000%500100000.00003.7482%0.000063.9056%1.4056%
GPU722440.000165.9091%500100000.00001.5845%0.000166.4493%0.5402%
Difference+23+1,408.1757+11.7028%+24999999500+2500246931842670+63,217.2104+33.1546%+64,625.3861+18.9401%+18.9401%

Known prime factors:
No known factors for M21101

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.000--1.844%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.003--4.563%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---4.86067e-5--0.605%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---9.72135e-5--0.982%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.000--1.479%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.000--2.100%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.001--2.839%
2003-04-03T00:00:00ANONYMOUSv4_computers52428852428800---0.002--3.685%
2003-04-27T00:00:00ANONYMOUSv4_computers1048576104857600---0.003--4.630%
2003-05-19T00:00:00ANONYMOUSv4_computers2097152209715200---0.006--5.668%
2003-07-06T00:00:00ANONYMOUSv4_computers4194304419430400---0.012--6.790%
2003-09-29T00:00:00ANONYMOUSv4_computers8388608838860800---0.025--7.992%
2003-09-29T00:00:00ANONYMOUSv4_computers167772161677721600---0.050--9.259%
2006-02-15T00:00:00Jocelyn Larouchev4_computers100000000100000000---0.046--6.078%
2013-02-26T06:54:00bcp19Toshiba-740Q10000000000100000000000---6.915--17.822%
2022-06-05T23:11:09ATHManual testing250000000002500246931852670---63,217--34.739%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T07:54:02ATH5960X50000000010150000000027--2.855


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15T00:00:00ANONYMOUSv4_computers252253--0.028--
2000-03-01T00:00:00ANONYMOUSv4_computers253254--0.057--
2000-08-31T00:00:00ANONYMOUSv4_computers21256--0.455--
2002-11-02T00:00:00ANONYMOUSv4_computers21257--0.910--
2016-02-23T04:50:34LaurVManual testing257258--0.910--
2009-01-19T01:19:00Sturle Sundeeames.ifi258259--1.820--
2009-02-01T06:23:00Sturle Sundeniemeyer.ifi259260--3.639--
2011-06-05T11:05:00Richard B. WoodsPuttputt260261--7.279--
2012-08-25T13:38:00bcp19Manual testing261262--14.56--
2016-09-18T06:25:45Sid & AndyMrs_Potato_Head262263--46.52--
2018-04-01T08:29:28YxinityManual testing263264--93.04--
2018-04-01T02:22:40YxinityYGSMainFrame263264--93.04--
2018-10-18T06:43:57YxinityManual testing264265--177.1--
2018-10-17T22:06:57YxinityYGSMainFrame264265--177.1--
2020-01-05T15:36:53YxinityManual testing265266--354.1--
2020-01-04T18:49:58YxinityYGSMainFrame265266--354.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:5,746.321 GHz-days
Estimated T-Level:38.866
DigitsB1CurvesCompleteFacMiss
20110004605 / 10046.0500.000%
25500004605 / 28016.4460.000%
302500004605 / 6407.1950.075%
3510000004602 / 15662.9395.288%
4030000003547 / 45880.77346.154%
45110000002276 / 92010.24778.085%
5044000000651 / 165500.03996.143%

New Calculation Method

Total ECM effort:5,746.321 GHz-days
Estimated T-Level:38.866
DigitsB1CompleteFacMiss
20110001,433.1170.000%
2550000452.1450.000%
30250000126.8300.000%
35100000028.8480.000%
4030000005.6810.341%
45110000000.99836.861%
50440000000.15785.449%
551100000000.02397.761%
602600000000.00399.703%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000001,0557.044
30000003000000001,27125.46
110000001100000030.149
11000000110000000054139.73
1100000035133391030808656.6
430000002404906604262761,495
440000002400000000006513,522


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:57:00MadPooManual testingD18F46EA8421F4126.75232e-6


PRP results:
No PRP results for M21101


P-1 factor-bounds graph:
B1 = 25000000000, B2 = 2500246931852670 (P-1 stage 2)
B1 = 25000000000 (P-1 stage 1)
B1 = 10000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (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: 2022-06-05T23:11:09+00:00