is 2 722167 - 1
has 217394 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE776280A0E2363__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26741.145570.1493%500000150000000.03744.5266%41.182971.5005%1.3512%
PrimeNet2400.000050.0000%65002600000.000621.5465%0.000660.7732%10.7732%
GPU722440.000054.5455%120004500000.001016.5588%0.001062.0722%7.5267%
Difference+23+41.1455+15.6038%+488000+14550000+0.0363-12.0322%+41.1818+9.4283%+9.4283%

Known prime factors (2 factors, 139.7 bits, 0.01933942% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
722167770002564261785502872066.06153311946146929
32 × 631 × 9387558751
2015-10-16631938755875138.76714.81227.664
722167143294331983320571934072373.6019921135414891609
32 × 17 × 55109 × 1176650317
2007-08-295510911766503173,170.01.85803.4675

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
722167110337003071336424379854639331656523435780943139.663
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.197%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.423%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.766%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.248%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.876%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.644%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.540%
2016-03-17T18:50:48alpertronManual testing5000001500000012---0.037--4.527%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-15T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-24T00:00:00ANONYMOUSv4_computers21255--0.007--
2000-05-31T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.053--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.332 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.332 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002625.926
500005000000190.430
25000025000000444.976


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-07T00:00:00ANONYMOUSv4_computersE776280A0E2363__0.014


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T16:50:03Oliver KruseGTX-1
77000256426178550287
14329433198332057193407
7BA7DF63BD857EE3no
2017-09-28T09:45:37Oliver KruseManual testing
77000256426178550287
14329433198332057193407
7BA7DF63BD857E__no
2017-09-30T15:29:25alpertronManual testing
77000256426178550287
14329433198332057193407
7BA7DF63BD857E__no
2017-12-08T18:54:07ATHxps
77000256426178550287
14329433198332057193407
7BA7DF63BD857E__no
2020-04-20T18:28:49Oliver KruseAddPrpType5
77000256426178550287
14329433198332057193407
D685B2208BEB5F__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2020-04-20T18:28:49+00:00