is 2 1804093 - 1
has 543087 decimal digits
takes 0.098 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L93B4094088B5F00Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.470368.6567%2780000917600000.60008.1178%17.070371.2011%2.5444%
PrimeNet2570.010663.1579%80001500000.00122.8714%0.011964.2158%1.0579%
GPU722610.170365.5738%90001300000.00121.5551%0.171566.1091%0.5354%
Difference+6+16.3000+3.0829%+2771000+91630000+0.5988+6.5627%+16.8988+5.0920%+5.0920%

Known prime factors (2 factors, 150.5 bits, 0.00834297% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1804093145160438191427439929212373.6204023086342872220
22 × 5 × 132 × 1190262231619
2017-04-2116911902622316191,698.35,101.29,527.6
18040931404926996961587431520172476.89538937211024087656
23 × 32 × 7 × 169313 × 456293203
2021-01-0816931345629320312,9561.96823.6524

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1804093203939818505910279050552561271630677187487165746150.515
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers25000387500---0.004--1.199%
2011-02-11T15:53:00Carsten Kossendeyleela1000001650000---0.015--2.477%
2014-05-12T10:21:00Jocelyn LaroucheManual testing135577135577---0.011--1.060%
2014-09-20T22:31:00Jocelyn LaroucheManual testing171154171154---0.013--1.201%
2015-05-02T11:15:00mikrMSI278000091760000---0.600--8.118%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:52Mark RoseManual testing258260--0.064--
2010-04-12T13:46:00Architects Cubedm1_tt260261--0.085--
2016-02-23T16:28:52Mark RoseManual testing261262--0.170--
2010-12-13T03:33:00GrunwalderGIMPManual testing21263--0.885--
2016-02-23T16:28:52Mark RoseManual testing262263--0.544--
2015-04-20T21:13:00snme2pm1Manual testing263264--1.088--
2015-04-20T21:13:00snme2pm1Manual testing264265--2.071--
2015-08-31T08:30:00ramgeisManual testing265266--4.142--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.309 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.309 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001077.379
50000500000020.138
5000050000001429.79


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computers93B4094088B5F00D0.098
2015-07-01T17:35:00MadPooManual testing93B4094088B5F00D0.098


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T19:32:12Oliver KruseGTX-3
14516043819142743992921
698EAA401FC6CD__no
2017-11-05T13:22:12kkmrkkblmbrbkc4.xlarge
14516043819142743992921
698EAA401FC6CD__no
2021-01-08T17:53:18SRJ2877LTOS
14516043819142743992921
140492699696158743152017
5306867F817D9033no


P-1 factor-bounds graph:
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 100000, B2 = 1650000 (P-1 stage 2)
B1 = 171154 (P-1 stage 1)
B1 = 135577 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 25000, B2 = 387500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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266
265
264
263
262
261
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2100
Last modified: 2021-01-08T17:53:18+00:00