is 2 1820527 - 1
has 548034 decimal digits
takes 0.099 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
Actual26716.321668.6567%500000150000000.10155.0654%16.423170.2444%1.5877%
PrimeNet2570.010563.1579%80001500000.00122.8763%0.011864.2176%1.0597%
GPU722610.168765.5738%90001300000.00121.5580%0.170066.1101%0.5364%
Difference+6+16.1529+3.0829%+491000+14870000+0.1002+3.5074%+16.2531+4.1343%+4.1343%

Known prime factors (5 factors, 262.2 bits, 0.01440033% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1820527105590567926.65429
29
-1294.942e-121.987e-71.987e-7
18205275457211735211238.989149880
23 × 3 × 5 × 1249
2008-07-15812492.900e-85.948e-69.964e-6
1820527155255284169878731753.7854264020368
24 × 103 × 701 × 3691
2014-10-1270136910.00076.796e-50.0001
1820527137180203033448323372063.5733767595949784
23 × 13567 × 34712869
2017-03-1613567347128691.76930.14980.2779
18205276755456417479576793418232479.160185535738208759793
47 × 71 × 4787 × 11614698547
2019-10-10478711614698547117,80749.77892.971

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1820527576230081359877764072065.643
182052716393493485243619421939912580.439
182052714484935419476928429837650792890.227
182052784726095872522554855857108332892.775
1820527748621413832624630447862894857731102.562
18205277133124734654572245370727738364132105.814
182052721297951404439679616597535774724920136117.358
182052736865956038169251447546346645546878336118.150
182052789462765028760162875185553395451231136119.429
182052779047359554928477827155307006285927315939129.216
18205271048820305793022616033736936030681271247941132.946
1820527926714882933459783639000460257690644693035143142.733
18205272248862764733232088014876413255988582388696744144.012
18205273892697201067364902311989501081842904776996144144.804
182052711622743034024052049826870572139663287934960672148156.348
1820527110745530769798642670825574204322364827346558559349159.600
182052797852349936282641826139381911870521283733117159901
7
51169.387
182052757236344809002237655562431125766629100652010410685
59
52171.935
182052750572793343382380808413408699528606068726616558724
35871
55181.722
182052712272520270578999475787315155478414497621367564897
400807
56183.001
182052714387738249429019919628639248410665088395221672580
2442633423
60196.519
182052760436181013900529783195878064681466764165458489541
9430682953
60198.589
182052753400099239015712873702901949859581475164844104272
9383290028857
63208.376
182052715192094396047976395678824476781359755307565764984
363447648107720841
68223.173
182052778516934017913829587326261131630275861711455698094
233274319881177192383
71235.508
182052782906475820531094232671559268789024626045261975571
50910865702792872371189051161
79262.162
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:38:02alpertronManual testing5000001500000012-
skipped known factor: 105590567
skipped known factor: 545721173521
skipped known factor: 15525528416987873
--0.101--5.065%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??38.989128.88167e-90.2111.90122e-8
2014-10-12T11:52:00TJAOIManual testing253254*53.785178.67397e-50.2100.000
2022-03-11T23:37:42LordJuliusManual testing2126126.65494.94156e-120.2111.05780e-11
2022-03-11T23:37:42LordJuliusManual testing2126153.785170.0010.2100.002
2022-03-11T23:37:42LordJuliusManual testing2126138.989122.89960e-80.2116.20693e-8
2022-03-11T23:37:42LordJuliusManual testing261262--0.169--
2022-03-11T23:37:42LordJuliusManual testing262263--0.539--
2017-03-16T16:13:11TJAOIManual testing263264*63.573200.8930.2011.815
2022-03-11T23:37:42LordJuliusManual testing26326463.573200.8930.2011.815
2022-03-11T23:37:42LordJuliusManual testing264265--2.052--
2022-03-11T23:37:42LordJuliusManual testing265266--4.105--
2022-03-11T23:37:43LordJuliusManual testing266267--8.209--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.289 GHz-days
Estimated T-Level:24.732
DigitsB1CurvesCompleteFacMiss
2011000265 / 1002.6506.972%
2550000265 / 2800.94638.747%

New Calculation Method

Total ECM effort:20.289 GHz-days
Estimated T-Level:24.732
DigitsB1CompleteFacMiss
20110009.0540.012%
25500000.82144.011%
302500000.05195.046%
3510000000.00299.766%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.554
50000500000030.207
50000660000022417.43
70000730000010.098


Lucas-Lehmer results:
No L-L results for M1820527


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T23:17:54Oliver KruseGTX-1
105590567
545721173521
15525528416987873
13718020303344832337
476478C74AE04021no
2017-10-05T21:20:08Oliver KruseManual testing
105590567
545721173521
15525528416987873
13718020303344832337
476478C74AE040__no
2017-11-11T02:29:08kkmrkkblmbrbkc4.xlarge
105590567
545721173521
15525528416987873
13718020303344832337
476478C74AE040__no
2019-10-10T19:49:27mnd9f3
105590567
545721173521
15525528416987873
13718020303344832337
675545641747957679341823
AF06B49DFC120CA4no
2019-10-14T23:02:47Chang Chia-Tcheexbpc13
105590567
545721173521
15525528416987873
13718020303344832337
675545641747957679341823
AF06B49DFC120CA4no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
254
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-03-11T23:37:43+00:00