is 2 1709233 - 1
has 514531 decimal digits
takes 0.080 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L45EF363F8E1EDD2Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.384468.6567%36422001234567890.69408.6161%18.078471.3573%2.7006%
PrimeNet2570.011263.1579%80001400000.00102.7900%0.012364.1858%1.0279%
GPU722610.179765.5738%70001000000.00081.3028%0.180566.0223%0.4485%
Difference+6+17.2046+3.0829%+3635200+123356789+0.6932+7.3133%+17.8978+5.3350%+5.3350%

Known prime factors (1 factor, 100.9 bits, 0.00590283% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1709233235420849493958676146073880272131100.893688673953445664447579920
24 × 5 × 7 × 43 × 107 × 11483 × 3008429 × 7737101
2015-07-28300842977371017.625e+100.22290.4178

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-20T00:00:00Jocelyn Larouchev4_computers25000356250---0.003--1.157%
2011-02-11T06:20:00Carsten Kossendeyleela900001507500---0.011--2.354%
2014-03-31T21:13:00Jocelyn LaroucheManual testing100000100000---0.007--0.884%
2014-04-29T21:12:00Jocelyn LaroucheManual testing150000150000---0.010--1.109%
2014-10-05T22:25:00Jocelyn LaroucheManual testing187551187551---0.013--1.247%
2015-01-07T04:02:00Jocelyn LaroucheManual testing281326281326---0.019--1.524%
2015-02-03T07:46:00Jocelyn LaroucheManual testing309458309458---0.021--1.594%
2015-02-16T20:56:00Jocelyn LaroucheManual testing374443374443---0.026--1.740%
2015-02-23T15:50:00Jocelyn LaroucheManual testing411887411887---0.028--1.815%
2015-03-05T14:27:00Jocelyn LaroucheManual testing453075453075---0.031--1.893%
2015-03-14T11:30:00Jocelyn LaroucheManual testing498382498382---0.034--1.972%
2015-04-08T16:59:00Jocelyn LaroucheManual testing603042603042---0.041--2.136%
2015-05-01T17:20:00Jocelyn LaroucheManual testing729680729680---0.050--2.307%
2015-05-07T16:18:00Jocelyn LaroucheManual testing802648802648---0.055--2.396%
2015-05-22T00:28:00Jocelyn LaroucheManual testing882912882912---0.060--2.486%
2015-05-26T18:16:00Jocelyn LaroucheManual testing971203971203---0.066--2.578%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10683231068323---0.073--2.672%
2015-06-25T21:14:00Jocelyn LaroucheManual testing11751551175155---0.080--2.768%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12926701292670---0.088--2.866%
2015-07-13T12:24:00Jocelyn LaroucheManual testing14219371421937---0.097--2.965%
2015-07-21T01:20:00Jocelyn LaroucheManual testing15641301564130---0.107--3.067%
2015-07-28T02:05:00mikrMSI36422001234567891231100.8930.6940.1611.3888.616%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2022-03-08T23:06:23LordJuliusManual testing258260--0.067--
2010-04-24T12:42:00Architects Cubeda3_bu2260261--0.090--
2010-10-16T22:16:00GrunwalderGIMPManual testing21263--0.934--
2015-04-28T06:34:00snme2pm1Manual testing263264--1.149--
2015-04-28T06:34:00snme2pm1Manual testing264265--2.186--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.928 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.928 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025114.93


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computers45EF363F8E1EDD2B0.080
2015-06-27T00:57:00MadPooManual testing45EF363F8E1EDD2B0.080


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T03:41:25Oliver KruseGTX-3
2354208494939586761460738802721
FA1CF001D2B50C__no
2017-11-03T15:00:21kkmrkkblmbrbkc4.xlarge
2354208494939586761460738802721
FA1CF001D2B50C__no


P-1 factor-bounds graph:
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1564130 (P-1 stage 1)
B1 = 1421937 (P-1 stage 1)
B1 = 1292670 (P-1 stage 1)
B1 = 1175155 (P-1 stage 1)
B1 = 1068323 (P-1 stage 1)
B1 = 971203 (P-1 stage 1)
B1 = 882912 (P-1 stage 1)
B1 = 802648 (P-1 stage 1)
B1 = 729680 (P-1 stage 1)
B1 = 603042 (P-1 stage 1)
B1 = 498382 (P-1 stage 1)
B1 = 453075 (P-1 stage 1)
B1 = 411887 (P-1 stage 1)
B1 = 374443 (P-1 stage 1)
B1 = 309458 (P-1 stage 1)
B1 = 281326 (P-1 stage 1)
B1 = 187551 (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)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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109
TF factor-bounds graph:
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2100
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Last modified: 2022-03-08T23:06:23+00:00