is 2 1902193 - 1
has 572618 decimal digits
takes 0.103 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L99EDF4675B75893Edouble-checked
PRP8B919F393820AA25verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26831.334869.1176%80000003200000001.96659.7317%33.301372.1230%3.0054%
PrimeNet2570.010163.1579%90001600000.00143.0387%0.011464.2774%1.1195%
GPU722610.161565.5738%100001600000.00141.7277%0.162966.1686%0.5948%
Difference+7+31.1733+3.5439%+7990000+319840000+1.9650+8.0040%+33.1384+5.9545%+5.9545%

Known prime factors (1 factor, 81.7 bits, 0.00429680% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
190219340199464372436392676952492581.7331056661032093914568
23 × 3 × 506797 × 86874119231
2020-12-0250679786874119231494,184372.36695.39

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-10T00:00:00Jocelyn Larouchev4_computers20000160000---0.002--0.732%
2011-02-10T06:34:00Carsten Kossendeyleela1050001785000---0.015--2.280%
2011-06-19T08:33:00kurlykk100000030000000---0.203--5.680%
2017-11-24T09:27:44mikrS065800000032000000012---1.966--9.732%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-02-05T00:00:00GrunwalderGIMPv4_computers21256--0.005--
2011-02-05T00:00:00GrunwalderGIMPv4_computers256257--0.005--
2002-01-02T00:00:00Jocelyn Larouchev4_computers21258--0.020--
2011-02-05T00:00:00GrunwalderGIMPv4_computers257258--0.010--
2011-02-05T00:00:00GrunwalderGIMPv4_computers258259--0.020--
2011-02-05T00:00:00GrunwalderGIMPv4_computers259260--0.040--
2011-02-05T00:00:00GrunwalderGIMPv4_computers260261--0.081--
2009-05-24T16:06:00Architects Cubedi4l_1260261--0.081--
2011-01-15T01:36:00GrunwalderGIMPGWPrime02261262--0.161--
2011-01-15T05:08:00GrunwalderGIMPGWPrime02262263--0.516--
2015-05-16T12:25:00omylistManual testing263264--1.032--
2015-05-16T17:55:00monstManual testing264265--1.964--
2015-08-30T20:42:00ramgeisManual testing265266--3.928--
2017-03-03T09:31:41Smok_bmvManual testing266267--7.857--
2019-04-25T12:32:13chuenkitManual testing267268--15.71--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.116 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.116 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.2730.026%
25500000.74847.315%
302500000.04695.489%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000016811.65
50000500000040.277
500006600000796.183


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers99EDF4675B75893E0.103
2015-07-14T15:04:00MadPooManual testing99EDF4675B75893E0.103


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-02T21:15:49mrhlanai
4019946437243639267695249
8B919F393820AA25no


P-1 factor-bounds graph:
B1 = 8000000, B2 = 320000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 1785000 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 20000, B2 = 160000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
257
256
250
260
270
280
290
2100
Last modified: 2021-12-10T12:35:47+00:00