is 2 216661 - 1
has 65222 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267137.144773.1343%30000000100708329922204,464.407323.2276%4,601.552079.3746%6.2403%
PrimeNet2400.000055.0000%2200550000.000013.0372%0.000060.8667%5.8667%
GPU722440.000059.0909%4000900000.00019.3661%0.000162.9225%3.8316%
Difference+23+137.1447+14.0434%+29996000+10070832902220+4,464.4072+13.8615%+4,601.5519+16.4521%+16.4521%

Known prime factors (4 factors, 234.5 bits, 0.10824883% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
216661204701312811134.25347240
23 × 5 × 1181
-811811.294e-85.851e-79.774e-7
21666123141110755131341.0745340396
22 × 3 × 445033
2008-07-2144450332.609e-60.00020.0004
216661300542829590208470412064.70469357851572320
25 × 32 × 5 × 31 × 773 × 2009981
2014-07-28773200998122.4750.00090.0017
216661280577497533178437196015675132994.50264750346747494573826396
22 × 7927 × 2042082337186027937
2021-12-28792720420823371860279372.764e+10905,209,7201.691e+9

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
216661473701575145672144221532375.326
2166616152151177274778821450903895213098.957
2166616954894906207176045143677360703332105.778
21666157434582089986162626008544000449467415339128.755
2166616492874945812496577010123579734911060916941135.576
216661142367611775619075428369458080704141489927343140.031
21666184325555027961184527212172174969803734860777903348159.207
21666113291000253189756614176035614320730059582793123154
89
52169.829
21666117261551817655550730442990813628071846634042399383
349231273
59193.459
21666119513870083898592151388441416736430493917719904512
53881118929
61200.280
21666139945148241778266562999762222657236278582739845755
845377565243804118049
71234.533
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-02T23:40:03Dylan Delgadolaptop-i787508296000837896000-
skipped known factor: 20470131281
skipped known factor: 2314111075513
skipped known factor: 30054282959020847041
--0.435--9.863%
2021-05-06T14:12:57Dylan Delgadolaptop-i78750150000001665000000-
skipped known factor: 20470131281
skipped known factor: 2314111075513
skipped known factor: 30054282959020847041
--0.853--11.170%
2021-05-26T17:40:53Oliver KruseOllaptop300000003000000000-
skipped known factor: 20470131281
skipped known factor: 2314111075513
skipped known factor: 30054282959020847041
--1.561--12.433%
2022-02-28T07:03:12Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 20470131281
skipped known factor: 2314111075513
skipped known factor: 30054282959020847041
--4,464--23.228%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??41.074131.25729e-60.0032.60998e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:12.714 GHz-days
Estimated T-Level:27.859
DigitsB1CurvesCompleteFacMiss
2011000647 / 1006.4700.150%
2550000647 / 2802.3119.878%
30250000366 / 6400.57256.421%

New Calculation Method

Total ECM effort:12.714 GHz-days
Estimated T-Level:27.859
DigitsB1CompleteFacMiss
201100039.5650.000%
25500005.2600.520%
302500000.53058.862%
3510000000.04295.865%
4030000000.00399.724%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.673
250000250000003129.286
25000025000000260.774
25000038500000280.982


Lucas-Lehmer results:
No L-L results for M216661


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:32:37Oliver KruseOllaptop4EF781BAEDF812__?
2017-09-22T10:03:52Oliver KruseManual testing4EF781BAEDF812__?
2017-10-12T10:20:25kkmrkkblmbrbkc4.xlarge4EF781BAEDF812__no
2020-04-17T19:15:27Oliver KruseAddPrpType5
20470131281
2314111075513
30054282959020847041
8C61AD57EC9ED6__no
2021-12-28T20:04:07SRJ2877LTOS
20470131281
2314111075513
30054282959020847041
28057749753317843719601567513
8C61AD57EC9ED6A0no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 15000000, B2 = 1665000000 (P-1 stage 2)
B1 = 8296000, B2 = 837896000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 15000000 (P-1 stage 1)
B1 = 8296000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-28T07:03:12+00:00