is 2 1794521 - 1
has 540205 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4636DA283E306CDEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26833.214969.1176%20593761973973100.99928.1703%34.214171.6408%2.5232%
PrimeNet2570.010763.1579%80001400000.00122.8158%0.011964.1953%1.0374%
GPU722610.171265.5738%80001300000.00121.4942%0.172366.0882%0.5144%
Difference+7+33.0437+3.5439%+2051376+197267310+0.9980+6.6761%+34.0418+5.5527%+5.5527%

Known prime factors (1 factor, 79.2 bits, 0.00441459% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17945217044400583798266300772472479.221196275233998327863
3 × 17 × 3848533999967213
2020-02-24173848533999967213132,95216,493,85530,805,927

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:45:00Carsten Kossendeyleela950001638750---0.014--2.168%
2014-04-28T00:45:00Jocelyn LaroucheManual testing145000145000---0.011--0.959%
2014-10-06T21:12:00Jocelyn LaroucheManual testing180767180767---0.014--1.081%
2015-01-10T14:01:00Jocelyn LaroucheManual testing271150271150---0.021--1.331%
2015-02-06T22:00:00Jocelyn LaroucheManual testing542300542300---0.043--1.832%
2015-03-29T20:50:00Jocelyn LaroucheManual testing596530596530---0.047--1.908%
2015-04-08T16:59:00Jocelyn LaroucheManual testing656183656183---0.052--1.986%
2015-05-01T17:21:00Jocelyn LaroucheManual testing793981793981---0.062--2.148%
2015-05-22T00:28:00Jocelyn LaroucheManual testing873379873379---0.069--2.232%
2015-06-08T13:42:00Jocelyn LaroucheManual testing960716960716---0.076--2.317%
2015-06-25T21:14:00Jocelyn LaroucheManual testing10567871056787---0.083--2.404%
2015-07-07T18:13:00Jocelyn LaroucheManual testing11624651162465---0.091--2.493%
2015-07-13T12:24:00Jocelyn LaroucheManual testing12787111278711---0.101--2.583%
2015-07-21T01:20:00Jocelyn LaroucheManual testing14065821406582---0.111--2.676%
2015-07-31T12:12:00Jocelyn LaroucheManual testing15472401547240---0.122--2.770%
2015-09-20T11:32:00Jocelyn LaroucheManual testing17019641701964---0.134--2.866%
2015-09-27T21:23:24Jocelyn LaroucheManual testing18721601872160---0.147--2.963%
2015-10-02T22:01:20Jocelyn LaroucheManual testing20593762059376---0.162--3.063%
2015-10-15T06:57:36mikrMSI364220012345678912---0.800--7.994%
2018-10-01T11:53:54Jocelyn Larouchelow 4M205937612561647012---0.692--7.650%
2018-10-02T11:45:33Jocelyn Larouchelow 4M205937614356168012---0.768--7.803%
2018-10-07T10:38:40Jocelyn Larouchelow 4M205937617945210012---0.922--8.060%
2018-10-19T23:20:57Jocelyn Larouchelow 4M205937619739731012---0.999--8.170%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:52Mark RoseManual testing258260--0.064--
2010-04-19T15:11:00Architects Cubeda3_bu2260261--0.086--
2016-02-23T16:28:52Mark RoseManual testing261262--0.171--
2010-11-18T02:51:00GrunwalderGIMPManual testing21263--0.889--
2016-02-23T16:28:52Mark RoseManual testing262263--0.547--
2015-05-03T01:54:00snme2pm1Manual testing263264--1.094--
2015-05-03T01:54:00snme2pm1Manual testing264265--2.082--
2015-09-13T19:11:00ramgeisManual testing265266--4.164--
2017-08-04T10:31:41TJAOIManual testing266267--8.328--
2019-06-17T12:15:02TJAOIManual testing267268--16.66--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.299 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.299 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025017.23
50000500000010.069


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers4636DA283E306CDE0.097
2015-07-04T19:27:00MadPooManual testing4636DA283E306CDE0.097


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-26T14:49:42mnd975211backdoor
704440058379826630077247
482240D1ACB3FFA5no
2020-02-27T00:08:15Jinyuan WangManual testing
704440058379826630077247
482240D1ACB3FFA5no
2020-02-27T02:27:32fre_gamesgpu
704440058379826630077247
482240D1ACB3FFA5no


P-1 factor-bounds graph:
B1 = 2059376, B2 = 197397310 (P-1 stage 2)
B1 = 2059376, B2 = 179452100 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 2059376, B2 = 143561680 (P-1 stage 2)
B1 = 2059376, B2 = 125616470 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 2059376 (P-1 stage 1)
B1 = 1872160 (P-1 stage 1)
B1 = 1701964 (P-1 stage 1)
B1 = 1547240 (P-1 stage 1)
B1 = 1406582 (P-1 stage 1)
B1 = 1278711 (P-1 stage 1)
B1 = 1162465 (P-1 stage 1)
B1 = 1056787 (P-1 stage 1)
B1 = 960716 (P-1 stage 1)
B1 = 873379 (P-1 stage 1)
B1 = 793981 (P-1 stage 1)
B1 = 656183 (P-1 stage 1)
B1 = 596530 (P-1 stage 1)
B1 = 542300 (P-1 stage 1)
B1 = 271150 (P-1 stage 1)
B1 = 180767 (P-1 stage 1)
B1 = 95000, B2 = 1638750 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-12-04T09:25:00+00:00