is 2 2097829 - 1
has 631510 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD358480C83162938double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.164167.1642%500000150000000.12305.1525%14.287168.8561%1.6919%
PrimeNet2580.018362.0690%90001600000.00162.6772%0.019963.0845%1.0155%
GPU722620.292964.5161%90001400000.00151.4014%0.294465.0134%0.4973%
Difference+5+13.8713+2.6481%+491000+14860000+0.1214+3.7512%+13.9927+3.8427%+3.8427%

Known prime factors (1 factor, 64.6 bits, 0.00307872% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2097829276947188752796672972064.5866600804659312
24 × 412943 × 999049
2009-11-084129439990492.14850.04240.0801

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-07-31T22:12:00harleeP4_260020000260000---0.003--1.020%
2016-03-16T13:44:34alpertronManual testing5000001500000012-
skipped known factor: 27694718875279667297
--0.123--5.153%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00Charlie Dorianv4_computers21258--0.018--
2022-03-09T08:46:54LordJuliusManual testing21260--0.073--
2009-01-03T09:09:00Sturle Sundenouchcraft.ifi260261--0.073--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.808 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.808 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.23729.020%
25500000.11489.195%
302500000.00799.278%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000171.446
500006750000141.361


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersD358480C831629380.138
1999-01-29T00:00:00Charlie Dorianv4_computersD358480C831629380.138


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T23:48:57Oliver KruseGTX-0
27694718875279667297
F0E299F281AF4D__no
2017-11-17T01:50:53kkmrkkblmbrbkc4.xlarge
27694718875279667297
F0E299F281AF4D__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-07-17T03:24:48+00:00