is 2 1236017 - 1
has 372079 decimal digits
takes 0.038 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L871E778E4F4328FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271386.789470.4225%20000000020000215273504,853.794321.0666%5,240.583776.6535%
Target2600.124365.0000%50001500000.00060.8315%0.124865.2910%
Difference+11+386.6652+5.4225%+199995000+2000021377350+4,853.7937+20.2351%+5,240.4589+11.3625%

Known prime factors (1 factor, 147.6 bits, 0.01194448% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
123601727719799840002642319795176895875273350613760145147.636112133570331163092092564976435903686400
28 × 3 × 52 × 13 × 43 × 1013 × 2777 × 666823 × 11364281 × 490100057801
2023-03-12113642814901000578011.538e+111,187.82,217.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-07Jocelyn Larouchev4_computers10001000---4.44667e-5--0.002%
2002-12-25ANONYMOUSv4_computers20000395000---0.002--0.563%
2013-10-29David Campeaui5-2500k132000033000000---0.135--4.304%
2016-08-03Bruno Victal5820K-factoring25000006250000012---0.257--5.172%
2016-08-27Bruno VictalManual testing25000006250000012---0.257--5.172%
2018-05-01Jocelyn Larouchelow 4M123601712360170012---0.351--5.357%
2018-10-13Jocelyn Larouchelow 4M123601713596187012---0.381--5.437%
2022-05-30Sid & AndyBarrel_Of_Monkeys25000000128312841930---311.9--15.519%
2023-03-12krackercentre200000000200002152735045147.6364,8540.0769,70821.067%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-14ANONYMOUSv4_computers21257--0.016--
2003-05-26ANONYMOUSv4_computers21258--0.031--
2016-02-23Mark RoseManual testing258260--0.093--
2009-02-14Sturle Sundeghia.ifi260261--0.124--
2011-05-09XyzzyManual testing261262--0.249--
2012-10-26dbaughManual testing262263--0.794--
2015-04-02omylistManual testing263264--1.588--
2015-04-06monstManual testing264265--3.023--
2015-09-20ramgeisManual testing265266--6.046--
2018-07-18ramgeisManual testing266267--12.09--
2018-07-18ramgeisManual testing267268--24.18--
2020-10-20krackerManual testing268269--48.37--
2020-10-20krackerManual testing269270--96.73--
2020-10-25krackerManual testing270271--193.5--


ECM factoring results:
Total ECM effort:18.556 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028110.41
25000025000000448.148


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01dave platt871E778E4F4328FC0.038
2015-11-12MadPooManual testing871E778E4F4328FC0.038


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-13krackerO0
277197998400026423197951768958752733506137601
1C2FA8D3043490EBno


P-1 factor-bounds graph:
B1 = 200000000, B2 = 2000021527350 (P-1 stage 2)
B1 = 25000000, B2 = 128312841930 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 25000000 (P-1 stage 1)
B1 = 1236017, B2 = 135961870 (P-1 stage 2)
B1 = 1236017, B2 = 123601700 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 1320000, B2 = 33000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1320000 (P-1 stage 1)
B1 = 1236017 (P-1 stage 1)
B1 = 20000, B2 = 395000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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257
this exponent TF target: 60
TF double-checked to: 67.9
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2023-10-02T12:12:48+00:00