is 2 6928003 - 1
has 2085537 decimal digits
takes 1.511 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDE84F1C337FFF3CAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.038968.0556%40000004143239108.33317.9722%146.372070.6022%
Target2674.289065.6716%4500072000000.13752.2367%4.426466.4395%
Difference+5+133.7499+2.3839%+3955000+407123910+8.1956+5.7355%+141.9455+4.1628%

Known prime factors:
No known factors for M6928003

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10ANONYMOUSv4_computers35000472500---0.019--0.884%
2012-08-16NesowaEPC850001508750---0.051--1.565%
2018-03-16Squeeky_Squirreli5-5250U_16004050001225125012---0.332--3.405%
2021-06-02Dylan DelgadoManual testing6300001890000012---0.514--3.947%
2021-11-28Seth_TrManual testing400000011000000012---3.091--6.531%
2021-12-02Seth_TrManual testing4000000414323910---8.333--7.972%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21261--0.044--
1998-12-21ANONYMOUSv4_computers21262--0.089--
2005-02-18ANONYMOUSv4_computers21263--0.230--
2014-02-09NesowaManual testing263264--0.283--
2014-02-17lycornManual testing264265--0.539--
2015-06-26VictordeHollanderManual testing265266--1.079--
2016-04-03Gordon SpenceManual testing266267--2.157--
2018-05-23ramgeisManual testing267268--4.315--
2020-05-01TJAOIManual testing268269--8.629--
2021-07-22takahashiManual testing269270--17.26--
2021-08-10SRBaseManual testing270271--34.52--
2021-09-25SRBaseManual testing271272--69.03--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22Stephen Woodv4_computersDE84F1C337FFF3CA1.511
2001-09-16ANONYMOUSv4_computersDE84F1C337FFF3CA1.511


PRP results:
No PRP results for M6928003


P-1 factor-bounds graph:
B1 = 4000000, B2 = 414323910 (P-1 stage 2)
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 405000, B2 = 12251250 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 405000 (P-1 stage 1)
B1 = 85000, B2 = 1508750 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 472500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
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107
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109
TF factor-bounds graph:
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270
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2023-06-05T21:50:05+00:00