is 2 1468963 - 1
has 442202 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L09E6AB18497B595Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.227868.6567%500000150000000.07144.9359%20.299270.2038%1.5471%
PrimeNet2560.006562.5000%70001200000.00072.9114%0.007363.5918%1.0918%
GPU722600.104665.0000%65001000000.00061.4469%0.105265.5064%0.5064%
Difference+7+20.1233+3.6567%+493500+14900000+0.0708+3.4890%+20.1940+4.6974%+4.6974%

Known prime factors (2 factors, 180.7 bits, 0.01229971% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14689637946641918434524841274914712789.360270484754157678744845
5 × 7 × 23 × 83 × 433 × 2203 × 4621 × 918397
2009-06-064621918397105,390,7680.00300.0052
146896330856839950233466659338595432891.3181050293300451865249817
43 × 103 × 107 × 267389 × 8288531651
2019-04-262673898288531651457,918,73225.01446.694

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
146896324520825781895036352317615281874398700333081538444
57753
55180.678
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers20000270000---0.002--0.962%
2016-03-17T19:14:44alpertronManual testing5000001500000012-
skipped known factor: 794664191843452484127491471
--0.071--4.936%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-22T00:00:00Jocelyn Larouchev4_computers21257--0.013--
2003-07-30T00:00:00ANONYMOUSv4_computers21258--0.026--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.593 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.593 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000321.518
50000500000021910.39
250000350000005013.68


Lucas-Lehmer results:
No L-L results for M1468963


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T04:33:40Oliver KruseGTX-2
794664191843452484127491471
4B31E0C95B910E__no
2017-10-28T03:35:41Chang Chia-Tchehomura
794664191843452484127491471
4B31E0C95B910E__no
2019-04-26T11:03:14ATHec2-PRPCF
794664191843452484127491471
3085683995023346665933859543
3A370D491A4AFB0Cno
2019-04-29T02:21:26krackerGRID-11
794664191843452484127491471
3085683995023346665933859543
3A370D491A4AFB0Cno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
250
260
270
280
290
2100
Last modified: 2022-01-25T11:44:32+00:00