is 2 314351 - 1
has 94630 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-L8444354407DA18B4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26794.524671.6418%100000002000000000.20988.4289%94.734574.0321%2.3903%
PrimeNet2400.000052.5000%3200900000.000115.6653%0.000159.9410%7.4410%
GPU722440.000056.8182%55001500000.000111.4690%0.000161.7707%4.9525%
Difference+23+94.5246+14.8236%+9994500+199850000+0.2097-3.0401%+94.7344+12.2614%+12.2614%

Known prime factors (1 factor, 110.6 bits, 0.03519242% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
314351200570226863940290596113609154401734110.6283190227275624068168959437208
23 × 34 × 29 × 4097633 × 15035407 × 2755499729
2015-12-071503540727554997295.246e+111.69462.8912

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.798%
2001-10-20T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.391%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.618%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.317%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.144%
2006-01-15T00:00:00Jocelyn Larouchev4_computers314351314351---0.003--1.222%
2008-11-23T00:41:00GrunwalderGIMPGWPrime022000000200000000---0.132--7.434%
2012-01-29T02:11:00alpertronManual testing10000000200000000---0.210--8.429%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-11T05:10:05George WoltmanManual testing750000059250000027--0.440


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:08LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.031--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.061--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.122--
2008-12-31T09:18:00Sturle Sundejodel.ifi258259--0.122--
2009-01-24T17:13:00Sturle Sundetristan.ifi259260--0.244--
2012-04-27T11:50:00David CampeauManual testing260261--0.489--
2015-07-20T06:48:00NRManual testing261262--0.977--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.641 GHz-days
Estimated T-Level:26.117
DigitsB1CurvesCompleteFacMiss
2011000428 / 1004.2801.355%
2550000428 / 2801.52921.625%
30250000143 / 6400.22379.963%

New Calculation Method

Total ECM effort:7.641 GHz-days
Estimated T-Level:26.117
DigitsB1CompleteFacMiss
201100021.1100.000%
25500002.5547.779%
302500000.23778.889%
3510000000.01898.234%
4030000000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002852.178
250000250000001405.349
2500002500000030.115


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22T00:00:00ANONYMOUSv4_computers8444354407DA18B40.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T17:09:19Oliver KruseOllaptop
2005702268639402905961136091544017
8E2669BF0C18F3__no
2017-09-22T20:37:51Oliver KruseManual testing
2005702268639402905961136091544017
8E2669BF0C18F3__no
2017-10-12T23:49:04Oliver KruseGTX-28E2669BF0C18F3__no
2017-12-11T17:43:05ATHxps
2005702268639402905961136091544017
8E2669BF0C18F3__no
2020-04-18T15:04:32Oliver KruseAddPrpType5
2005702268639402905961136091544017
27E82D9F2D3B1C__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 314351 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
250
260
270
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290
2100
2110
2120
Last modified: 2022-03-07T06:36:08+00:00