is 2 297509 - 1
has 89560 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L07905ABF1795B5F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26799.875771.6418%120000005000000000.39799.6981%100.273674.3920%2.7502%
PrimeNet2400.000052.5000%3000900000.000115.4483%0.000159.8379%7.3379%
GPU722440.000056.8182%55001400000.000111.2298%0.000161.6674%4.8492%
Difference+23+99.8757+14.8236%+11994500+499860000+0.3977-1.5317%+100.2734+12.7246%+12.7246%

Known prime factors (1 factor, 93.8 bits, 0.03153141% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
297509173482974752070729247641751272993.80929155920451494026945007
3 × 11 × 23 × 39439 × 202931 × 4799662397
2016-01-0620293147996623979.584e+92.69835.0360

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.784%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.602%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.602%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.297%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.119%
2003-12-13T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.058%
2006-01-15T00:00:00Jocelyn Larouchev4_computers297509297509---0.003--1.178%
2011-08-01T01:50:00Jocelyn LaroucheManual testing15998881599888---0.016--2.451%
2012-08-17T00:49:00markrManual testing12000000500000000---0.398--9.698%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-22T21:03:08nordisweet161000000050000000027--0.418
2021-04-29T17:59:09nordisweet161000000050000000065--0.418


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:57LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.032--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.065--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.129--
2009-01-02T14:03:00Sturle Sundegolli.ifi258259--0.129--
2009-01-24T16:57:00Sturle Sundegaudi.ifi259260--0.258--
2013-06-16T12:05:00lycornasteroid260261--0.516--
2015-08-13T13:31:00NRManual testing261262--1.033--
2016-01-02T22:50:54Gordon SpenceManual testing262263--3.300--
2016-01-02T22:50:54Gordon SpenceManual testing263264--6.599--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.689 GHz-days
Estimated T-Level:27.375
DigitsB1CurvesCompleteFacMiss
2011000585 / 1005.8500.280%
2550000585 / 2802.08912.331%
30250000304 / 6400.47562.165%

New Calculation Method

Total ECM effort:14.689 GHz-days
Estimated T-Level:27.375
DigitsB1CompleteFacMiss
201100034.3980.000%
25500004.5541.052%
302500000.45563.439%
3510000000.03696.482%
4030000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.142
250000250000001415.375
2500002500000030.114
250000367500001607.058


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00KUNCEVO6v4_computers07905ABF1795B5F40.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T14:13:29Oliver KruseOllaptop
17348297475207072924764175127
3EB160D8BDA70E__no
2017-09-22T20:36:59Oliver KruseManual testing
17348297475207072924764175127
3EB160D8BDA70E__no
2017-10-12T21:12:48Oliver KruseGTX-13EB160D8BDA70E__no
2017-11-06T18:36:58kkmrkkblmbrbkc4.xlarge
17348297475207072924764175127
3EB160D8BDA70E__no
2020-04-17T22:15:25Oliver KruseAddPrpType5
17348297475207072924764175127
343BCA67576E31__no


P-1 factor-bounds graph:
B1 = 12000000, B2 = 500000000 (P-1 stage 2)
B1 = 12000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1599888 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 297509 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (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: 2022-03-07T06:11:57+00:00