is 2 2100121 - 1
has 632200 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE67B826603CF58E7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual270113.779568.5714%50000005000000003.04788.6939%116.827371.3038%2.7324%
PrimeNet2580.018362.0690%90001600000.00162.6778%0.019963.0847%1.0157%
GPU722620.292564.5161%100001400000.00161.4513%0.294265.0311%0.5150%
Difference+8+113.4869+4.0553%+4990000+499860000+3.0462+7.2426%+116.5331+6.2727%+6.2727%

Known prime factors (1 factor, 69.2 bits, 0.00329429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21001216706011359766963436632169.184159657737810511
3 × 47963 × 1109589599
2014-03-1547963110958959958.9555.767810.765

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.144%
2009-07-15T12:49:00BigBrotherMiniluv2000005000000---0.044--2.639%
2012-08-22T18:21:00BloodIceMjolnir5000000500000000---3.048--8.694%
2016-03-16T12:12:47alpertronManual testing5000001500000012---0.123--3.841%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-03T11:50:00Sturle Sundeothello.ifi260261--0.073--
2012-02-02T15:33:00BloodIceManual testing261262--0.146--
2012-02-02T15:33:00BloodIceManual testing262263--0.467--
2012-02-02T15:33:00BloodIceManual testing263264--0.935--
2012-02-02T15:33:00BloodIceManual testing264265--1.779--
2012-02-02T15:33:00BloodIceManual testing265266--3.558--
2012-02-04T22:53:00BloodIceManual testing266267--7.116--
2014-03-08T13:51:00Never Odd Or EvenManual testing267268--14.23--
2014-03-08T13:51:00Never Odd Or EvenManual testing268269--28.47--
2014-03-08T13:51:00Never Odd Or EvenManual testing269270--56.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.987 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:1.987 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.65551.949%
25500000.05894.403%
302500000.00499.649%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000070.355
500005000000121.021
50000530000070.610


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computersE67B826603CF58E70.138


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T00:13:45Oliver KruseGTX-0
670601135976696343663
1AE3C8C4904A4F__no
2017-11-17T03:10:26kkmrkkblmbrbkc4.xlarge
670601135976696343663
1AE3C8C4904A4F__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 500000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
250
260
270
280
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2100
Last modified: 2022-03-10T18:21:14+00:00