is 2 130841 - 1
has 39388 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-LAD55B0D31EE27F95double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267227.099474.6269%10000000020000000000.942711.9568%228.042177.6607%3.0338%
PrimeNet2400.000057.5000%1400280000.00009.7455%0.000061.6418%4.1418%
GPU722440.000061.3636%2200400000.00006.3608%0.000063.8212%2.4576%
Difference+23+227.0994+13.2632%+99997800+1999960000+0.9427+5.5960%+228.0421+13.8395%+13.8395%

Known prime factors (1 factor, 72.4 bits, 0.05537028% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13084164376548213090937786812272.44724601060910987740
22 × 5 × 1901 × 3257 × 198666191
2008-12-3032571986661919,176.30.05010.0936

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.424%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.380%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.010%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.767%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.642%
2017-03-17T10:06:57kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 6437654821309093778681
--0.943--11.957%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.018--
2022-03-07T03:14:44LordJuliusManual testing254255--0.018--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.073--
2002-06-15T00:00:00ANONYMOUSv4_computers21257--0.147--
2022-03-07T03:14:44LordJuliusManual testing257258--0.147--
2008-12-30T00:00:00Sturle Sundev4_computers258259--0.293--
2008-12-30T14:14:00Sturle Sundegigi.ifi258259--0.293--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.690 GHz-days
Estimated T-Level:29.914
DigitsB1CurvesCompleteFacMiss
2011000895 / 1008.9500.012%
2550000895 / 2803.1964.067%
30250000629 / 6400.98337.397%
35100000045 / 15660.02997.166%

New Calculation Method

Total ECM effort:13.690 GHz-days
Estimated T-Level:29.914
DigitsB1CompleteFacMiss
201100070.8220.000%
255000010.6720.002%
302500001.20030.122%
3510000000.10989.708%
4030000000.00899.175%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.891
250000250000005849.78
1000000100000000453.015


Lucas-Lehmer results:
No L-L results for M130841


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T22:00:17Oliver KruseDoppelherz
6437654821309093778681
19C2A4DED098DF__no
2017-09-22T10:01:10Oliver KruseManual testing
6437654821309093778681
19C2A4DED098DF__no
2017-10-13T20:51:16kkmrkkblmbrbkManual testing
6437654821309093778681
19C2A4DED098DF__no
2020-04-17T15:37:38Oliver KruseAddPrpType5
6437654821309093778681
473328550B9A6E__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:14:44+00:00