is 2 4051517 - 1
has 1219629 decimal digits
takes 0.505 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L093D1F7031BE77DEdouble-checked
PRP13B37F4CD9661495

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27058.978168.5714%2189464634944581.00006.3417%59.978170.5645%1.9931%
PrimeNet2610.075863.9344%160003200000.00592.7341%0.081764.9205%0.9861%
GPU722651.800766.1538%220003600000.00731.7533%1.808066.7473%0.5934%
Difference+5+57.1773+2.4176%+2167464+63134458+0.9927+4.5884%+58.1700+3.8173%+3.8173%

Known prime factors (1 factor, 73.3 bits, 0.00180832% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4051517113444736320379854076012373.2641400027894741400
23 × 3 × 52 × 19 × 29 × 43 × 98483933
2021-06-244398483933527.320.97041.8124

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00hitchcockv4_computers20000305000---0.006--0.775%
2011-06-30T11:22:00harleeP4_260040000580000---0.013--1.175%
2013-06-07T18:18:00Squeeky_SquirrelP4_26001200002310000---0.043--2.205%
2016-11-28T03:39:41Ismo Laitela6600K21894646349445812---1.000--6.342%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-24T13:50:42ATH5960X250000017750000027P-12373.2642.096


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-22T00:00:00ANONYMOUSv4_computers?261--0.038--
2010-10-11T01:36:00Grant McCrackenthumper261262--0.076--
2011-05-28T03:15:00GrunwalderGIMPManual testing21263--0.394--
2016-02-23T16:29:47Mark RoseManual testing262263--0.242--
2013-08-17T06:44:00JayderManual testing263264--0.485--
2013-10-23T17:29:00David CampeauManual testing264265--0.922--
2015-05-21T06:23:00snme2pm1Manual testing265266--1.844--
2016-09-17T22:53:12kkmrkkblmbrbkManual testing266267--3.689--
2018-11-03T05:35:15YxinityManual testing267268--7.378--
2020-09-20T17:30:05mikrManual testing268269--14.76--
2020-09-20T17:30:05mikrManual testing269270--29.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.165 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.165 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.165


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computers093D1F7031BE77DE0.505
1999-10-21T00:00:00curtiscv4_computers093D1F7031BE77DE0.505


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-26T13:24:43RichD0Linux-7
11344473632037985407601
13B37F4CD9661495no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 177500000 (P-1 stage 2)
B1 = 2189464, B2 = 63494458 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2189464 (P-1 stage 1)
B1 = 120000, B2 = 2310000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 305000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-26T13:24:43+00:00