is 2 276347 - 1
has 83189 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267107.523971.6418%1000001000000.00100.6271%107.524971.8196%0.1778%
PrimeNet2400.000052.5000%2800800000.000114.8753%0.000159.5658%7.0658%
GPU722440.000056.8182%50001300000.000110.8180%0.000161.4896%4.6714%
Difference+23+107.5239+14.8236%+95000-30000+0.0009-10.1909%+107.5248+10.3300%+10.3300%

Known prime factors (3 factors, 145.1 bits, 0.05249126% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27634761901729825.883112
24 × 7
-16161.657e-111.585e-73.226e-7
2763471243964966631236.856225073
173 × 1301
2008-07-2117313015.688e-82.323e-63.489e-6
27634760298150873806118790092092582.31810909861672789304532
22 × 33 × 6301 × 16031937424379
2020-06-036301160319374243795,256,6668,654.616,164

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27634777003582249824303271962.740
27634737325597945914595638860884402236133108.202
27634775008787239584933901806722711476956736119.175
2763474643173620323444650872552359663991763388134344145.058
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-03T17:57:59Lisander ViaeneManual testing100000100000-
skipped known factor: 61901729
skipped known factor: 124396496663
--0.001--0.627%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:15:00J FeitsmaManual testing??36.856122.37557e-80.0044.93879e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:17.117 GHz-days
Estimated T-Level:27.180
DigitsB1CurvesCompleteFacMiss
2011000560 / 1005.6000.360%
2550000560 / 2802.00013.485%
30250000279 / 6400.43664.644%

New Calculation Method

Total ECM effort:17.117 GHz-days
Estimated T-Level:27.180
DigitsB1CompleteFacMiss
201100033.0720.000%
25500004.3651.272%
302500000.43664.639%
3510000000.03596.602%
4030000000.00299.775%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.053
250000250000001635.954
25000025000000160.584
2500001250000001008.525


Lucas-Lehmer results:
No L-L results for M276347


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:48:12Oliver KruseOllaptop
61901729
124396496663
30246E471F3B18__no
2017-09-22T20:35:50Oliver KruseManual testing
61901729
124396496663
30246E471F3B18__no
2017-10-12T18:35:00Oliver KruseGTX-030246E471F3B18__no
2017-11-06T14:41:02kkmrkkblmbrbkc4.xlarge
61901729
124396496663
30246E471F3B18__no
2020-04-17T21:19:49Oliver KruseAddPrpType5
61901729
124396496663
E5E9314CBF4E45__no
2020-06-04T12:51:22mnd9mnd
61901729
124396496663
6029815087380611879009209
E5E9314CBF4E457Cno
2020-06-04T13:54:02Klaus Nordmannno1
61901729
124396496663
6029815087380611879009209
E5E9314CBF4E457Cno


P-1 factor-bounds graph:
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-01-19T18:04:16+00:00