is 2 1851749 - 1
has 557432 decimal digits
takes 0.100 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
Actual26716.046468.6567%30000000195066367860838.237020.6994%854.283475.1446%6.4879%
PrimeNet2570.010463.1579%90001600000.00143.0236%0.011764.2719%1.1140%
GPU722610.165965.5738%90001500000.00131.6313%0.167266.1354%0.5616%
Difference+6+15.8805+3.0829%+29991000+195066217860+838.2357+19.0681%+854.1162+9.0092%+9.0092%

Known prime factors (5 factors, 212.5 bits, 0.01147476% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185174914813993823.8204
22
-446.040e-133.146e-76.404e-7
1851749766624087929.514207
32 × 23
2008-07-159234.035e-117.680e-71.441e-6
1851749814769561929.602220
22 × 5 × 11
2008-07-155114.046e-114.190e-78.005e-7
18517493041242305353878331858.07782118103084
22 × 32 × 17 × 23 × 5833909
2015-07-052358339090.02460.02500.0467
185174932708241196994848394872271.470883171563667507
31 × 503 × 701 × 80797399
2021-05-2570180797399389.380.34630.6467

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1851749113567638584493911753.334
1851749120699905732670731753.422
18517496246219708170158071859.116
185174945052942222816216103471692581.898
185174992531455033294764457873512582.936
18517492331489605687692186645334712787.591
18517492477911658027807396581513132787.679
1851749484539656134593305157665415912995.291
1851749250749255450219627944206292336931100.984
1851749266496793211576071459497845520731101.072
1851749345386706982302322391186818765970334111.412
1851749367077659566423325783067594372280934111.500
185174918996267625022240660161494243647623136117.193
18517493714597714994765416828076405234790241738124.805
18517493947881629158735441568500867058731155138124.892
185174999473686862019309577569726943929776167139129.548
1851749204302860784252303613684293300773677100940130.586
1851749281410575623206097983947754594936183070038343141.014
18517491473602500858146017946950891959287096630986230347153.368
18517493026541149537888135966993825167608147156992893747154.406
185174976258924371119448181274747597229464846217396937748159.062
185174981048132175618940438039581868995535342496329643148159.149
185174911296991718212929075212668419821241116256105947133
092361
56182.882
185174912006464627126937543165352995302267775949932298585
758983
56182.970
185174962133450332189193873219474520180455889017481013492
5733497
57188.663
185174992044449828689839271351618300563163227671374061151
18871544423521
64212.484
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-07-05T16:35:00alpertronManual testing50000015000000121858.0770.1010.2010.2035.076%
2021-12-26T19:52:42mikrNitron30000000195066367860-
skipped known factor: 14813993
skipped known factor: 766624087
skipped known factor: 814769561
skipped known factor: 304124230535387833
skipped known factor: 3270824119699484839487
--838.2--20.699%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-25T11:11:08mikrNitron500000042500000019543--2.362


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??29.51491.73053e-120.2153.69852e-12
2008-07-15T07:47:00J FeitsmaManual testing??29.60291.83921e-120.2153.93079e-12


ECM factoring results:

Old Calculation Method

Total ECM effort:19.491 GHz-days
Estimated T-Level:24.536
DigitsB1CurvesCompleteFacMiss
2011000254 / 1002.5407.786%
2550000254 / 2800.90740.302%

New Calculation Method

Total ECM effort:19.491 GHz-days
Estimated T-Level:24.536
DigitsB1CompleteFacMiss
20110008.6790.017%
25500000.78645.557%
302500000.04995.253%
3510000000.00299.777%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.282
50000500000030.207
50000660000021817.00


Lucas-Lehmer results:
No L-L results for M1851749


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:47alpertronManual testing
14813993
766624087
814769561
304124230535387833
0904F58026E364__no
2017-10-20T01:06:59Oliver KruseThreadripper
14813993
766624087
814769561
304124230535387833
0904F58026E364__no
2021-05-25T05:57:57mikrNitron
14813993
766624087
814769561
304124230535387833
3270824119699484839487
74D4A5FCDF40B20Eno
2021-05-26T22:32:13kutenssol
14813993
766624087
814769561
304124230535387833
3270824119699484839487
74D4A5FCDF40B20Eno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 195066367860 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
267
2
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2100
Last modified: 2021-12-26T19:52:42+00:00