is 2 1723027 - 1
has 518683 decimal digits
takes 0.081 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L695E872CA3CD0901double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.245268.6567%36422001234567890.69408.6227%17.939271.3594%2.7026%
PrimeNet2570.011163.1579%80001400000.00102.7942%0.012264.1874%1.0295%
GPU722610.178365.5738%70001100000.00091.3442%0.179166.0365%0.4627%
Difference+6+17.0669+3.0829%+3635200+123346789+0.6931+7.2785%+17.7601+5.3228%+5.3228%

Known prime factors (2 factors, 156.3 bits, 0.00907390% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1723027425638694272805968898812375.17212351480686977220
22 × 5 × 79 × 151 × 51770813509
2020-04-13151517708135098,382.2192.48359.50
172302727272627204663428412044072581.174791416130004446489
59 × 11524993 × 1163890747
2016-11-20115249931163890747308,1605.07098.0821

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
172302711608285432781947867849182585214501466039090556748156.346
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:34:00Carsten Kossendeyleela900001507500---0.011--2.357%
2014-04-04T00:13:00Jocelyn LaroucheManual testing100000100000---0.007--0.885%
2014-05-04T12:46:00Jocelyn LaroucheManual testing150000150000---0.010--1.111%
2014-10-07T22:12:00Jocelyn LaroucheManual testing187251187251---0.013--1.248%
2015-01-09T22:25:00Jocelyn LaroucheManual testing280876280876---0.019--1.525%
2015-02-11T12:22:00Jocelyn LaroucheManual testing373844373844---0.026--1.741%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411228411228---0.028--1.816%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452350452350---0.031--1.894%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497585497585---0.034--1.973%
2015-04-08T16:59:00Jocelyn LaroucheManual testing602077602077---0.041--2.137%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728512728512---0.050--2.309%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801363801363---0.055--2.397%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881499881499---0.060--2.487%
2015-05-26T18:16:00Jocelyn LaroucheManual testing969648969648---0.066--2.580%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10666121066612---0.073--2.674%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11732731173273---0.080--2.770%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12906001290600---0.088--2.867%
2015-07-21T01:19:00Jocelyn LaroucheManual testing14196601419660---0.097--2.967%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15616261561626---0.107--3.068%
2015-08-25T02:14:00mikrMSI3642200123456789---0.694--8.623%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers21257--0.011--
2016-02-23T16:28:48Mark RoseManual testing257260--0.078--
2010-04-24T12:42:00Architects Cubedm1_76l260261--0.089--
2016-02-23T16:28:48Mark RoseManual testing261262--0.178--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.926--
2016-02-23T16:28:48Mark RoseManual testing262263--0.570--
2015-05-03T20:03:00snme2pm1Manual testing263264--1.139--
2015-05-03T20:03:00snme2pm1Manual testing264265--2.168--
2015-09-02T13:37:00ramgeisManual testing265266--4.337--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.941 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.941 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017210.24
500005000000784.643
50000500000010.060


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computers695E872CA3CD09010.081
2015-07-03T04:32:00MadPooManual testing695E872CA3CD09010.081


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T04:21:33Oliver KruseGTX-3
2727262720466342841204407
56CC8742C1B7B1__no
2017-11-03T15:44:08kkmrkkblmbrbkc4.xlarge
2727262720466342841204407
56CC8742C1B7B1__no
2020-04-13T19:23:33CrypticCluecruncher
42563869427280596889881
2727262720466342841204407
DE0E0CAD925516CDno
2020-04-13T22:29:24Igvan28MineOld
42563869427280596889881
2727262720466342841204407
DE0E0CAD925516CDno


P-1 factor-bounds graph:
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1561626 (P-1 stage 1)
B1 = 1419660 (P-1 stage 1)
B1 = 1290600 (P-1 stage 1)
B1 = 1173273 (P-1 stage 1)
B1 = 1066612 (P-1 stage 1)
B1 = 969648 (P-1 stage 1)
B1 = 881499 (P-1 stage 1)
B1 = 801363 (P-1 stage 1)
B1 = 728512 (P-1 stage 1)
B1 = 602077 (P-1 stage 1)
B1 = 497585 (P-1 stage 1)
B1 = 452350 (P-1 stage 1)
B1 = 411228 (P-1 stage 1)
B1 = 373844 (P-1 stage 1)
B1 = 280876 (P-1 stage 1)
B1 = 187251 (P-1 stage 1)
B1 = 90000, B2 = 1507500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
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TF factor-bounds graph:
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265
264
263
262
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2100
Last modified: 2020-04-13T22:29:24+00:00