is 2 19013 - 1
has 5724 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7DA62B0547C74E42double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,562.821177.6119%100000000000801070519743994501,861,661.462340.5574%1,863,224.283486.6920%
Target2440.000165.9091%500500000.00001.5359%0.000166.4327%
Difference+23+1,562.8210+11.7028%+99999999500+80107051974349450+1,861,661.4623+39.0215%+1,863,224.2832+20.2593%

Known prime factors:
No known factors for M19013

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28ANONYMOUSv4_computers163841638400---4.46828e-5--0.591%
2002-06-09ANONYMOUSv4_computers327683276800---8.93655e-5--0.962%
2002-07-14ANONYMOUSv4_computers655366553600---0.000--1.453%
2003-02-02ANONYMOUSv4_computers13107213107200---0.000--2.067%
2003-03-27ANONYMOUSv4_computers26214426214400---0.001--2.798%
2003-04-03ANONYMOUSv4_computers52428852428800---0.001--3.637%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.003--4.575%
2003-05-19ANONYMOUSv4_computers2097152209715200---0.006--5.604%
2003-07-06ANONYMOUSv4_computers4194304419430400---0.011--6.720%
2003-09-29ANONYMOUSv4_computers8388608838860800---0.023--7.914%
2003-09-29ANONYMOUSv4_computers167772161677721600---0.046--9.176%
2013-01-12SergiosiManual testing2425000000050000000000---10.94--16.317%
2016-12-21James Hintzalek_07_13_2016180876500611214343037212---3.336--17.608%
2018-09-17James Hintz3_1_201834151603279259552184920412---74.09--23.772%
2022-05-07-Anonymous-T581010000000000080107051974399450---1,861,661--40.557%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-10ATH5960X100000000024100000000027--6.651
2023-07-08masserManual testing4000000001600000000018847--0.669
2023-08-27masserManual testing4000000007160000000065--2.046


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15ANONYMOUSv4_computers252253--0.032--
2000-03-08ANONYMOUSv4_computers253254--0.063--
2000-09-29ANONYMOUSv4_computers21256--0.505--
2002-10-19ANONYMOUSv4_computers21257--1.010--
2016-02-23LaurVManual testing257258--1.010--
2010-06-27George WoltmanManual testing258259--2.020--
2010-06-27George WoltmanManual testing259260--4.039--
2012-12-25bcp19Manual testing260261--8.078--
2015-09-08snme2pm1G1261262--16.16--
2016-09-01Sid & AndyWoody262263--51.63--
2018-03-28snme2pm1g10263264--103.3--
2021-02-20Ruslan BorisovManual testing264265--196.5--
2022-04-25Ruslan BorisovManual testing265266--393.0--


ECM factoring results:
Total ECM effort:57,800.291 GHz-days
Estimated T-Level:48.940
DigitsB1CompleteFacMiss
20110002,742.5000.000%
25500001,080.8730.000%
30250000336.0870.000%
35100000087.8420.000%
40300000020.1370.000%
45110000004.1571.566%
50440000000.78845.479%
551100000000.13887.116%
602600000000.02297.779%
658000000000.00399.671%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000006744.137
30000003000000001001.841
1100000011000000004,810324.8
11000000505403398505558.00
11000000993243150901,0002,029
34377242210320262051901420.0
34377242210320276090922840.1
4400000044000000007018.90
11000000011174027564701,10025,041
11000000013408836140702707,351
260000000314453562423034021,712
various30.1373


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George Woltman7DA62B0547C74E425.59299e-6
2015-04-11MadPooManual testing7DA62B0547C74E425.59299e-6


PRP results:
No PRP results for M19013


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 80107051974399450 (P-1 stage 2)
B1 = 34151603279, B2 = 2595521849204 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 34151603279 (P-1 stage 1)
B1 = 24250000000, B2 = 50000000000 (P-1 stage 2)
B1 = 24250000000 (P-1 stage 1)
B1 = 1808765006, B2 = 112143430372 (P-1 stage 2)
B1 = 1808765006 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=48.94 ~= 146-bit
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Last modified: 2023-11-25T14:50:23+00:00