is 2 199783 - 1
has 60141 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L33CFDEC17A77FA7Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267148.731073.1343%13336084689629259619903,265.837824.8222%3,414.568879.8030%
Target2440.000059.0909%36004000000.00028.8638%0.000262.7170%
Difference+23+148.7309+14.0434%+133357246+8962925561990+3,265.8377+15.9584%+3,414.5686+17.0860%

Known prime factors (1 factor, 157.9 bits, 0.07905175% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19978334854553984566993746081440070461818003195046201748157.932872310306296506553262325625064740693732576
25 × 47 × 3413 × 16993 × 583657 × 4528957 × 19156939 × 197485316131
2023-04-20191569391974853161316.966e+1172.061134.36

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06ANONYMOUSv4_computers10000010000000---0.004--2.621%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.491%
2002-07-27ANONYMOUSv4_computers655366553600---0.003--2.154%
2003-02-16ANONYMOUSv4_computers13107213107200---0.006--2.944%
2003-10-08ANONYMOUSv4_computers26214426214400---0.011--3.852%
2009-02-09axnManual testing5000000200000000---0.104--7.713%
2013-10-21alpertronManual testing1000000002000000000---1.361--12.330%
2023-01-24Jocelyn LaroucheManual testing100000074894729910---27.29--12.448%
2023-04-20JacobZSystem76-2133360846896292596199048157.9323,2660.0026,53224.822%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-09masserManual testing3000000099000000027--0.648
2023-02-11masserManual testing3000000096000000011437--0.637
2023-02-25masserManual testing3000000084000000065--0.594


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17ANONYMOUSv4_computers252253--0.003--
2000-05-05ANONYMOUSv4_computers21254--0.012--
2022-03-07LordJuliusManual testing254255--0.012--
2001-01-28ANONYMOUSv4_computers21256--0.048--
2002-04-20ANONYMOUSv4_computers21257--0.096--
2016-02-23Mark RoseManual testing257258--0.096--
2008-12-31Sturle Sundeothello.ifi258259--0.192--
2009-01-30Sturle Sundegiacco.ifi259260--0.384--
2013-08-06lycornasteroid260261--0.769--
2015-08-25NRManual testing261262--1.538--
2015-12-07Gordon SpenceManual testing262263--4.914--
2015-12-09Gordon SpenceManual testing263264--9.83--
2017-08-17ConductorManual testing264265--18.70--
2019-12-13Gordon SpenceManual testing265266--37.40--


ECM factoring results:
Total ECM effort:63.765 GHz-days
Estimated T-Level:31.101
DigitsB1CompleteFacMiss
201100097.0520.000%
255000016.2600.000%
302500002.08612.417%
3510000000.22080.231%
4030000000.02098.039%
45110000000.00299.846%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002771.352
2500002500000058514.28
25000036753717020.269
100000010000000014414.06
100000014173312470.777
100000023662575303125.65
1000000266204620587.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Martin Eibl33CFDEC17A77FA7D0.001
2016-06-01MadPooManual testing33CFDEC17A77FA7D0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2023-04-20JacobZSystem76-2
348545539845669937460814400704618180031950462017
2BBB87FB5B10E6A6no
2023-08-24USAFSS6917th_Scty_Sq
348545539845669937460814400704618180031950462017
2BBB87FB5B10E6A6no


P-1 factor-bounds graph:
B1 = 133360846, B2 = 8962925961990 (P-1 stage 2)
B1 = 1000000, B2 = 74894729910 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 133360846 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=31.1 ~= 87-bit
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290
2100
2110
2120
2130
2140
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Last modified: 2023-09-25T11:53:03+00:00