is 2 391451 - 1
has 117839 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA5263BA430108DB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26775.907171.6418%6000000030000000003.095013.3719%79.002275.4338%3.7920%
PrimeNet2400.000052.5000%40001200000.000117.2551%0.000160.6962%8.1962%
GPU722440.000056.8182%70002000000.000212.8102%0.000362.3498%5.5317%
Difference+23+75.9071+14.8236%+59993000+2999800000+3.0948+0.5617%+79.0019+13.0840%+13.0840%

Known prime factors (1 factor, 88.5 bits, 0.02261449% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3914514452235357609514741085372732788.525568683610159319396436
22 × 3 × 29 × 853 × 1241549 × 1543044931
2017-01-1912415491543044931165,544,4761.19832.2072

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-14T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.446%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.683%
2002-08-24T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.400%
2012-07-09T15:47:00alpertronManual testing10000000200000000---0.286--8.600%
2017-01-19T13:19:45mikrS052600000003000000000122788.5253.0950.0086.19013.372%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.006--
2022-03-07T06:43:13LordJuliusManual testing254255--0.006--
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.025--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.049--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.098--
2009-01-06T11:59:00Sturle Sundeghibu.ifi258259--0.098--
2009-01-16T14:05:00Sturle Sundefoster.ifi259260--0.196--
2011-02-28T03:12:00monstyuengling260261--0.392--
2015-08-13T13:31:00NRManual testing261262--0.785--
2015-11-18T00:42:15Gordon SpenceManual testing262263--2.508--
2015-11-18T00:42:15Gordon SpenceManual testing263264--5.015--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.837 GHz-days
Estimated T-Level:26.172
DigitsB1CurvesCompleteFacMiss
2011000430 / 1004.3001.328%
2550000430 / 2801.53621.471%
30250000150 / 6400.23479.092%

New Calculation Method

Total ECM effort:10.837 GHz-days
Estimated T-Level:26.172
DigitsB1CompleteFacMiss
201100021.5320.000%
25500002.6247.254%
302500000.24578.245%
3510000000.01998.164%
4030000000.00199.883%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.946
250000250000001507.891


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:39:36MadPooManual testingA5263BA430108DB10.004


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T07:33:17Oliver KruseOllaptop
445223535760951474108537273
DF786D0DD518C0__no
2017-11-02T10:41:36kkmrkkblmbrbkc4.xlarge
445223535760951474108537273
DF786D0DD518C0__no
2020-04-18T15:47:51Oliver KruseAddPrpType5
445223535760951474108537273
57521022C22199__no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:43:13+00:00