is 2 2497067 - 1
has 751693 decimal digits
takes 0.173 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB0CD879F1C169FB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.899567.1642%2382500857701000.69658.2011%12.596169.8571%2.6929%
PrimeNet2590.030862.7119%100001800000.00192.5373%0.032763.6580%0.9461%
GPU722630.639265.0794%110001600000.00191.3818%0.641165.5619%0.4825%
Difference+4+11.2604+2.0848%+2371500+85610100+0.6946+6.8194%+11.9550+4.2952%+4.2952%

Known prime factors (1 factor, 89.8 bits, 0.00359642% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
249706710815164661268616878445134332889.805216557358318151192548
22 × 32 × 31 × 20641 × 1149457 × 8178719
2014-12-131149457817871974,202,9370.15410.2353

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.291%
2003-10-31T00:00:00Team Prime Ribv4_computers15000228750---0.003--0.920%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.314%
2011-01-25T08:06:00Oscar Östlin950001971250---0.020--2.689%
2014-09-10T00:51:00Jocelyn LaroucheManual testing120704120704---0.012--1.054%
2014-12-13T01:19:00mikrMSI238250085770100122889.8050.6970.3461.3938.201%
2019-07-04T12:38:10alpertronManual testing20000006000000012-
skipped known factor: 1081516466126861687844513433
--0.519--7.646%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21259--0.031--
2022-03-10T05:53:03LordJuliusManual testing21260--0.062--
2009-01-11T08:39:00Sturle Sundeeberlin.ifi260261--0.062--
2012-06-11T16:36:00Sebastian HornbostelManual testing261262--0.123--
2013-01-23T08:30:00dbaughManual testing262263--0.393--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.103 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.103 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersB0CD879F1C169FB10.173


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-14T08:14:15kkmrkkblmbrbkc4.xlarge884EE12B18578D__no
2017-11-07T06:25:40Oliver KruseThreadripper
1081516466126861687844513433
884EE12B18578D__no


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 120704 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-10T05:53:03+00:00