is 2 3005417 - 1
has 904721 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2022-11-01, 2.3% done, ETC 2022-12-01
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2741,272.990070.2703%8960000101437692510683.090012.4564%1,956.080073.9735%
Target2641.184365.6250%130002000000.00291.3874%1.187266.1019%
Difference+10+1,271.8057+4.6453%+8947000+101437492510+683.0872+11.0690%+1,954.8928+7.8716%

Known prime factors (7 factors, 364.1 bits, 0.01211562% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
300541724043337824.5194
22
-447.443e-134.936e-71.005e-6
3005417143057849211133.7362380
22 × 5 × 7 × 17
2008-09-077175.769e-109.311e-71.758e-6
3005417427486426712891445.2817111932
22 × 3 × 592661
2008-09-3045926612.151e-60.00400.0074
300541762026018532392167831962.4281031903701423
7 × 147414814489
2016-08-0871474148144890.3771991.181,851.3
3005417198546691350808965532064.1063303147139828
22 × 23 × 11503 × 3121253
2017-07-191150331212531.66010.02230.0392
3005417358486058296549289832064.9595963998644723
3 × 7 × 23 × 2437 × 5066813
2018-03-27243750668131.87940.03440.0636
30054176312268741311195098092169.097105014857194712
23 × 13126857149339
2021-01-2281312685714933951.02188,262164,849

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-11-18Jocelyn LaroucheManual testing300541730054170012-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--2.371--5.789%
2021-12-17Jocelyn LaroucheManual testing896000050027877900-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--337.4--11.715%
2021-12-17Jocelyn LaroucheManual testing8960000100013924010-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--673.5--12.442%
2021-12-17Jocelyn LaroucheManual testing8960000100725808260-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--678.3--12.449%
2021-12-18Jocelyn LaroucheManual testing8960000101437692510-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--683.1--12.456%
2022-01-16Jocelyn LaroucheManual testing10000000733687500-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--6.100--7.387%
2022-02-01Jocelyn LaroucheManual testing1000000010011509970-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--68.48--10.129%
2022-02-01Jocelyn LaroucheManual testing1000000011041344930-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--75.41--10.233%
2022-06-03Jocelyn LaroucheManual testing2103791914749885920-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--101.6--11.200%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07Will EdgingtonManual testing??33.736111.96148e-100.5704.37340e-10
2008-09-30markrManual testing??45.281145.91427e-70.5701.31866e-6
2022-12-08LordJuliusManual testing2126233.736115.76906e-100.5701.28630e-9
2022-12-08LordJuliusManual testing2126224.51987.44311e-130.5701.65955e-12
2022-12-08LordJuliusManual testing2126258.255180.0190.5450.040
2022-12-08LordJuliusManual testing2126245.281142.15101e-60.5704.79597e-6
2016-08-08TJAOIManual testing262263*62.428190.1730.5190.351
2022-12-08LordJuliusManual testing26226362.428190.1730.5190.351
2022-03-10LordJuliusManual testing263264--0.653--
2017-07-19TJAOIManual testing264265*64.106200.4760.5190.966
2018-03-27TJAOIManual testing264265*64.959200.6950.5191.411
2022-12-08LordJuliusManual testing26426564.106200.4760.5190.966
2022-12-08LordJuliusManual testing26426564.959200.6950.5191.411
2021-01-15Jocelyn LaroucheManual testing265266--2.486--
2019-06-18Seth_TrManual testing266267--4.973--
2021-01-20Jocelyn LaroucheManual testing267268--9.95--
2021-01-21Jocelyn LaroucheManual testing268269--19.89--
2021-01-22Jocelyn LaroucheManual testing26927069.0972111.300.51922.93
2021-01-22Jocelyn LaroucheManual testing269270
skipped known factors(?)
--39.78--
2021-02-12Jocelyn LaroucheManual testing270271--79.57--
2021-02-12Jocelyn LaroucheManual testing271272--159.1--
2021-11-03Jocelyn LaroucheManual testing272273--318.3--
2022-01-06Jocelyn LaroucheManual testing273274--636.5--


ECM factoring results:
Total ECM effort:0.349 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.349


Lucas-Lehmer results:
No L-L results for M3005417


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28alpertronManual testing
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
50515A900FE1B4__no
2017-11-17Oliver KruseThreadripper
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
50515A900FE1B4__no
2018-04-04marcomichsisg6
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
35848605829654928983
37310135A86E35__no
2018-04-05kkmrkkblmbrbkc5.xlarge
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
35848605829654928983
37310135A86E35__no
2021-01-23Yuji HASEGAWAvj20a
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
35848605829654928983
631226874131119509809
37310135A86E3587no


P-1 factor-bounds graph:
B1 = 8960000, B2 = 101437692510 (P-1 stage 2)
B1 = 8960000, B2 = 100725808260 (P-1 stage 2)
B1 = 8960000, B2 = 100013924010 (P-1 stage 2)
B1 = 8960000, B2 = 50027877900 (P-1 stage 2)
B1 = 21037919, B2 = 14749885920 (P-1 stage 2)
B1 = 10000000, B2 = 11041344930 (P-1 stage 2)
B1 = 10000000, B2 = 10011509970 (P-1 stage 2)
B1 = 10000000, B2 = 733687500 (P-1 stage 2)
B1 = 21037919 (P-1 stage 1)
B1 = 3005417, B2 = 300541700 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 8960000 (P-1 stage 1)
B1 = 3005417 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-21T22:55:03+00:00