is 2 1854889 - 1
has 558378 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L80A5B136D0E32BC5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.019268.6567%500000150000000.10155.0768%16.120770.2480%1.5912%
PrimeNet2570.010463.1579%90001600000.00143.0246%0.011764.2722%1.1143%
GPU722610.165665.5738%90001500000.00131.6318%0.166966.1355%0.5618%
Difference+6+15.8536+3.0829%+491000+14850000+0.1002+3.4450%+15.9538+4.1124%+4.1124%

Known prime factors (3 factors, 209.0 bits, 0.01126579% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18548893551683142179985516712168.26795738428072515
3 × 5 × 991 × 6440526611
2021-01-24991644052661161.11927.60351.554
18548898130423149435536368072169.462219161986227627
3 × 372 × 4621 × 11547941
2014-08-16462111547941104.920.04980.0924
185488927866499671373844358232271.239751163537855199
3 × 7 × 199 × 2417 × 74367893
2021-07-30241774367893326.890.31890.5953

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
185488928876686838640099745824226633983075695449742137.729
185488998972977114382589329108566531055144891023342139.506
1854889226566434021875670860970253385246954213716143140.701
185488980469218429932975611341809077513966041518463728909
5604027746031
63208.968
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:41:00Carsten Kossendeyleela1000001700000---0.015--2.506%
2014-05-26T23:57:00Jocelyn LaroucheManual testing134603134603---0.011--1.061%
2016-03-16T12:36:15alpertronManual testing5000001500000012-
skipped known factor: 813042314943553636807
--0.101--5.077%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.021--
2010-04-14T17:11:00Architects Cubeda3_bu2260261--0.083--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.860--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.822 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.822 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8200.015%
25500000.79845.005%
302500000.04995.181%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.075
50000500000010.069
50000585000070.517
50000660000016612.95
500006600000544.212


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16T00:00:00ANONYMOUSv4_computers80A5B136D0E32BC50.101
1998-12-21T00:00:00Stephen Woodv4_computers80A5B136D0E32BC50.101


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T07:25:13Oliver KruseGTX-3
813042314943553636807
C0345EEDA0A585__no
2017-11-07T07:51:26Chang Chia-Tcheexbpc13
813042314943553636807
C0345EEDA0A585__no
2021-01-24T15:37:35tanaydinxubuntu
355168314217998551671
813042314943553636807
F91EE2CCB43E4AF7no
2021-08-01T06:43:32GURA LOVE
355168314217998551671
813042314943553636807
2786649967137384435823
F91EE2CCB43E4AF7no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 134603 (P-1 stage 1)
B1 = 100000 (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
263
261
258
250
260
270
280
290
2100
Last modified: 2021-08-01T06:43:32+00:00