is 2 1017209 - 1
has 306211 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7CD4D2136F3FC381double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271469.990271.8310%100000009600000002.65428.6937%472.644474.2799%2.4489%
PrimeNet2560.009464.2857%4500600000.00031.9458%0.009864.9806%0.6949%
GPU722600.151066.6667%4500170000.00020.5966%0.151266.8655%0.1989%
Difference+11+469.8393+5.1643%+9995500+959983000+2.6539+8.0971%+472.4932+7.4144%+2.2501%

Known prime factors (1 factor, 70.3 bits, 0.00691224% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101720914655806591326932654472270.312720393084967147
720393084967147
2017-04-071720393084967147323.801,686,7803,150,436

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-30T00:00:00ANONYMOUSv4_computers10000127500---0.001--0.266%
2002-09-22T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.093%
2002-09-29T00:00:00Jocelyn Larouchev4_computers2500025000---0.001--0.153%
2002-10-07T00:00:00Jocelyn Larouchev4_computers2700027000---0.001--0.163%
2003-11-08T00:00:00ANONYMOUSv4_computers15000198750---0.001--0.381%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.092%
2003-12-13T00:00:00ANONYMOUSv4_computers15000198750---0.001--0.381%
2009-07-31T00:00:00ANONYMOUSv4_computers600001050000---0.005--1.062%
2010-02-18T01:31:00Rob_Deetwopc200000200000---0.009--0.690%
2010-02-19T02:00:00Rob_Deetwopc400000500000---0.017--1.124%
2010-02-20T01:38:00Rob_Deetwopc600000700000---0.026--1.321%
2010-02-21T00:39:00Rob_Deetwopc800000900000---0.035--1.481%
2010-02-22T01:31:00Rob_Deetwopc10000001100000---0.043--1.616%
2010-02-23T01:13:00Rob_Deetwopc12000001300000---0.052--1.733%
2010-02-24T00:58:00Rob_Deetwopc14000001500000---0.060--1.838%
2010-02-25T00:38:00Rob_Deetwopc16000001700000---0.069--1.932%
2010-02-26T02:15:00Rob_Deetwopc18000001900000---0.078--2.018%
2010-02-27T00:51:00Rob_Deetwopc20000002100000---0.086--2.097%
2010-02-28T13:17:00Rob_Deetwopc22000002300000---0.095--2.171%
2010-03-01T01:06:00Rob_Deetwopc24000002500000---0.103--2.239%
2010-03-02T01:55:00Rob_Deetwopc26000002700000---0.112--2.304%
2010-03-03T00:57:00Rob_Deetwopc28000002900000---0.121--2.365%
2010-03-04T00:48:00Rob_Deetwopc30000003100000---0.129--2.422%
2010-03-05T00:54:00Rob_Deetwopc32000003300000---0.138--2.477%
2010-03-06T00:59:00Rob_Deetwopc34000003500000---0.146--2.529%
2010-03-07T07:58:00Rob_Deetwopc36000003700000---0.155--2.578%
2010-03-08T01:26:00Rob_Deetwopc38000003900000---0.164--2.626%
2010-03-09T04:38:00Rob_Deetwopc40000004100000---0.172--2.671%
2010-03-10T01:05:00Rob_Deetwopc42000004300000---0.181--2.715%
2010-03-11T01:15:00Rob_Deetwopc44000004500000---0.189--2.757%
2010-03-12T01:07:00Rob_Deetwopc46000004700000---0.198--2.798%
2010-03-13T01:50:00Rob_Deetwopc48000004900000---0.207--2.837%
2010-03-14T01:09:00Rob_Deetwopc50000005100000---0.215--2.875%
2016-07-17T04:26:43Jocelyn LaroucheManual testing5000000102000006---0.227--3.555%
2016-08-12T14:57:46Jocelyn LaroucheManual testing50000002040000012---0.251--4.241%
2016-08-18T04:30:51Jocelyn LaroucheManual testing50000004080000012---0.299--4.935%
2016-10-13T15:09:41Jocelyn Larouchelow 4M5000000448800006---0.308--5.031%
2021-07-01T04:20:06ViliamF310000000960000000---2.654--8.694%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.038--
2016-02-23T16:28:19Mark RoseManual testing258260--0.113--
2009-09-21T00:33:00S485122D610-H260261--0.151--
2010-11-13T20:45:00ANONYMOUSManual testing261262--0.302--
2010-11-13T20:46:00Michael CManual testing261262--0.302--
2010-11-13T20:45:00ANONYMOUSManual testing262263--0.965--
2010-11-13T20:45:00ANONYMOUSManual testing263264--1.930--
2013-03-29T23:17:00Never Odd Or EvenManual testing264265--3.673--
2013-03-29T23:17:00Never Odd Or EvenManual testing265266--7.346--
2013-03-29T23:17:00Never Odd Or EvenManual testing266267--14.69--
2013-03-29T23:17:00Never Odd Or EvenManual testing267268--29.39--
2013-07-02T17:40:00Never Odd Or EvenManual testing268269--58.77--
2013-07-02T17:40:00Never Odd Or EvenManual testing269270--117.5--
2014-04-01T16:41:00Never Odd Or EvenManual testing270271--235.1--


ECM factoring results:
Total ECM effort:17.350 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001926.689
500005000000862.996
25000025000000447.664


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computers7CD4D2136F3FC3810.030
2016-06-01T18:46:42MadPooManual testing7CD4D2136F3FC3810.030


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T17:17:49Oliver KruseGTX-0
1465580659132693265447
33CD66304C795D__no
2017-10-15T16:51:51Oliver KruseThreadripper
1465580659132693265447
33CD66304C795D__no
2017-12-28T04:40:38ATHec2-1xf
1465580659132693265447
33CD66304C795D__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 960000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5000000, B2 = 44880000 (P-1 stage 2)
B1 = 5000000, B2 = 40800000 (P-1 stage 2)
B1 = 5000000, B2 = 20400000 (P-1 stage 2)
B1 = 5000000, B2 = 10200000 (P-1 stage 2)
B1 = 5000000, B2 = 5100000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4800000, B2 = 4900000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4700000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4500000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4300000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4100000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 3900000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3700000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3500000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3300000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3100000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 2900000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2700000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2500000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2300000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2100000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 1900000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1700000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1500000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 1200000, B2 = 1300000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 800000, B2 = 900000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 700000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 400000, B2 = 500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 27000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 10000, B2 = 127500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-01T04:20:06+00:00