is 2 2053067 - 1
has 618035 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L32A06DD8DE439A34double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.472968.6567%50000005300000003.203710.9290%17.676672.0822%3.4255%
PrimeNet2580.018763.7931%90001600000.00162.6664%0.020364.7585%0.9654%
GPU722620.299266.1290%90001200000.00141.3307%0.300766.5798%0.4507%
Difference+5+14.1737+2.5277%+4991000+529880000+3.2022+9.5983%+17.3759+5.5025%+5.5025%

Known prime factors (3 factors, 217.2 bits, 0.01058009% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
205306752573312927468582791962.1891280360381017
1280360381017
2016-07-08112803603810170.58876,650.512,421
205306725698775890908285243592271.122625863059776137
3 × 208621019925379
2021-07-133208621019925379405.151,083,6302,023,919
2053067181104922166589408860633772683.9054410594543835866264
23 × 3 × 1783 × 3019 × 34140622693
2009-10-233019341406226931,851,299177.34331.21

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20530671351069786765606498474780030821487231816141133.311
20530679521285745768946466065599031742111283114818344146.094
20530674654174807499569392302436150382300148146230034347155.027
205306724468538857381571429571306190812957642567320831861
5617193554089697
66217.216
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.058%
2009-05-24T16:58:00Rob_Deetwopc20000280000---0.003--1.039%
2016-03-17T19:20:09alpertronManual testing5000001500000012---0.123--5.139%
2021-08-28T07:56:13happy5214Manual testing5000000530000000---3.204--10.929%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-28T08:40:42happy5214Manual testing250000019750000027--1.177


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
1999-03-15T00:00:00ANONYMOUSv4_computers21258--0.019--
2022-03-09T08:13:22LordJuliusManual testing21260--0.075--
2009-01-03T04:57:00Sturle Sundegorilla.ifi260261--0.075--
2022-03-09T08:13:22LordJuliusManual testing261262--0.150--
2016-07-08T13:11:16TJAOIManual testing262263*62.189190.2890.2740.588


ECM factoring results:

Old Calculation Method

Total ECM effort:0.836 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:0.836 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.36569.393%
25500000.03496.681%
302500000.00299.786%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.255
50000675000060.582


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computers32A06DD8DE439A340.135
1999-03-15T00:00:00ANONYMOUSv4_computers32A06DD8DE439A340.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T08:31:23Oliver KruseGTX-0
5257331292746858279
18110492216658940886063377
CD07F47345AE3A29no
2017-10-17T21:06:41Oliver KruseGTX-2
5257331292746858279
18110492216658940886063377
353548FFB54CB3__no
2017-11-15T09:01:40ATHec2-1xf
5257331292746858279
18110492216658940886063377
353548FFB54CB3__no
2021-07-14T00:00:46happy5214Manual testing
5257331292746858279
2569877589090828524359
18110492216658940886063377
353548FFB54CB39Bno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 530000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-09T08:13:22+00:00