is 2 2557201 - 1
has 769795 decimal digits
takes 0.177 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4317E88E007CA2F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.619767.1642%2000000600000000.51907.6649%12.138769.6810%2.5168%
PrimeNet2590.030062.7119%110002000000.00212.6867%0.032263.7137%1.0018%
GPU722630.624165.0794%120001800000.00211.4789%0.626365.5958%0.5164%
Difference+4+10.9956+2.0848%+1988000+59820000+0.5168+6.1861%+11.5124+4.0852%+4.0852%

Known prime factors (2 factors, 159.3 bits, 0.00622770% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
255720180366897881752809684472272.7671571384061748623
3 × 479 × 8017 × 136399787
2009-02-158017136399787714.260.74821.3959
25572011084853179971665052076168332786.48821211730715959853216
25 × 3 × 7 × 17 × 193 × 922309 × 10430957
2018-12-299223091043095712,145,3130.14490.1888

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
255720187186284731477607693852712502270295128913906835148159.255
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.885%
2018-12-29T19:54:30alpertronlaptop2200000060000000122786.4880.5190.3551.0387.665%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2022-03-11T02:05:00LordJuliusManual testing21260--0.060--
2009-02-01T17:10:00Sturle Sundekorsmo.ifi260261--0.060--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.277 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.277 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.277


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers4317E88E007CA2F60.177


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-14T23:01:16Oliver KruseGTX-315890FB915377E__no
2017-12-01T15:17:44kkmrkkblmbrbkc4.xlarge
8036689788175280968447
15890FB915377E__no
2018-12-30T03:08:18Oliver KruseGTX-5
8036689788175280968447
108485317997166505207616833
15890FB915377EEFno
2018-12-30T14:59:18Daniil Tsarkovtsar1
8036689788175280968447
108485317997166505207616833
15890FB915377EEFno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
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
109
TF factor-bounds graph:
267
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-11T02:05:00+00:00