is 2 1014197 - 1
has 305304 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-L1CCF72B1F4F1C4FAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271471.386071.8310%100000009600000002.65428.6914%474.040274.2793%2.4483%
PrimeNet2560.009564.2857%4500600000.00031.9445%0.009864.9802%0.6945%
GPU722600.151466.6667%4500170000.00020.5962%0.151766.8654%0.1987%
Difference+11+471.2346+5.1643%+9995500+959983000+2.6539+8.0953%+473.8885+7.4139%+7.4139%

Known prime factors (1 factor, 70.2 bits, 0.00692030% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101419713425349537809923192172270.185661870895783064
23 × 3 × 11 × 73 × 34343653787
2017-03-107334343653787316.4480.415150.19

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-30T00:00:00ANONYMOUSv4_computers10000127500---0.001--0.266%
2002-09-14T00:00:00Jocelyn Larouchev4_computers1100011000---0.000--0.067%
2002-09-14T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.093%
2002-09-22T00:00:00Jocelyn Larouchev4_computers2600026000---0.001--0.158%
2002-09-22T00:00:00Jocelyn Larouchev4_computers2700027000---0.001--0.163%
2002-10-07T00:00:00Jocelyn Larouchev4_computers3276832768---0.001--0.193%
2003-11-08T00:00:00ANONYMOUSv4_computers15000198750---0.001--0.381%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.092%
2003-11-16T00:00:00eteov4_computers2000002000000---0.013--1.685%
2003-12-13T00:00:00ANONYMOUSv4_computers15000198750---0.001--0.381%
2011-01-07T05:00:00Rob_Deetwopc400000600000---0.018--1.220%
2011-01-08T04:28:00Rob_Deetwopc600000800000---0.026--1.400%
2011-01-09T05:36:00Rob_Deetwopc8000001000000---0.035--1.548%
2011-01-10T09:26:00Rob_Deetwopc12000001400000---0.052--1.786%
2011-01-11T04:45:00Rob_Deetwopc14000001600000---0.061--1.885%
2011-01-12T05:02:00Rob_Deetwopc16000001800000---0.069--1.975%
2011-01-13T04:07:00Rob_Deetwopc18000002000000---0.078--2.058%
2011-01-14T04:39:00Rob_Deetwopc20000002200000---0.086--2.134%
2011-01-15T04:21:00Rob_Deetwopc22000002400000---0.095--2.205%
2011-01-16T03:48:00Rob_Deetwopc24000002600000---0.104--2.272%
2011-01-17T03:49:00Rob_Deetwopc26000002800000---0.112--2.334%
2011-01-18T03:48:00Rob_Deetwopc28000003000000---0.121--2.393%
2011-01-19T04:42:00Rob_Deetwopc30000003200000---0.129--2.449%
2011-01-20T05:14:00Rob_Deetwopc32000003400000---0.138--2.502%
2011-01-21T04:49:00Rob_Deetwopc34000003600000---0.147--2.553%
2011-01-22T04:58:00Rob_Deetwopc36000003800000---0.155--2.602%
2011-01-23T04:45:00Rob_Deetwopc38000004000000---0.164--2.648%
2011-01-24T05:01:00Rob_Deetwopc40000004200000---0.172--2.693%
2011-01-25T05:24:00Rob_Deetwopc42000004400000---0.181--2.736%
2011-01-26T04:29:00Rob_Deetwopc44000004600000---0.190--2.777%
2011-01-27T04:33:00Rob_Deetwopc46000004800000---0.198--2.817%
2011-01-28T05:00:00Rob_Deetwopc48000005000000---0.207--2.855%
2011-01-29T05:57:00Rob_Deetwopc50000005100000---0.215--2.874%
2016-07-13T12:22:02Jocelyn LaroucheManual testing5000000102000006---0.227--3.554%
2016-08-12T14:57:45Jocelyn LaroucheManual testing50000002040000012---0.251--4.240%
2016-08-17T02:37:15Jocelyn LaroucheManual testing50000004080000012---0.299--4.933%
2016-10-13T15:09:40Jocelyn Larouchelow 4M5000000448800006---0.308--5.029%
2021-07-01T08:14:33ViliamF310000000960000000---2.654--8.691%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.038--
2016-02-23T16:28:19Mark RoseManual testing258260--0.114--
2009-02-15T12:27:00Sturle Sundegofy.ifi260261--0.151--
2010-11-10T21:47:00Michael CManual testing261262--0.303--
2010-11-10T21:47:00Michael CManual testing262263--0.968--
2010-11-10T21:47:00Michael CManual testing263264--1.936--
2013-06-03T18:23:00Never Odd Or EvenManual testing264265--3.684--
2013-06-03T18:23:00Never Odd Or EvenManual testing265266--7.368--
2013-06-03T18:23:00Never Odd Or EvenManual testing266267--14.74--
2013-06-03T18:23:00Never Odd Or EvenManual testing267268--29.47--
2013-06-03T18:23:00Never Odd Or EvenManual testing268269--58.95--
2013-06-03T18:23:00Never Odd Or EvenManual testing269270--117.9--
2014-04-01T16:40:00Never Odd Or EvenManual testing270271--235.8--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.447 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.447 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002729.472
50000500000090.313
25000025000000447.662


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-06-17T00:00:00ANONYMOUSv4_computers1CCF72B1F4F1C4FA0.030
2016-06-01T18:46:40MadPooManual testing1CCF72B1F4F1C4FA0.030


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T17:03:51Oliver KruseGTX-1
1342534953780992319217
F5FF353E25B263__no
2017-10-15T16:26:38Oliver KruseThreadripper
1342534953780992319217
F5FF353E25B263__no
2017-12-27T19:52:15ATHec2-1xf
1342534953780992319217
F5FF353E25B263__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 = 5000000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4800000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4600000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4400000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4200000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 4000000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3800000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3600000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3400000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3200000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 3000000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2800000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2600000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2400000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2200000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 2000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1800000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1600000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 1200000, B2 = 1400000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 800000, B2 = 1000000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 800000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 400000, B2 = 600000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 27000 (P-1 stage 1)
B1 = 26000 (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 = 11000 (P-1 stage 1)
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: 2021-07-01T08:14:33+00:00