is 2 180371 - 1
has 54298 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
Actual267164.737873.1343%10000000020000000001.360712.2391%166.098576.4224%3.2881%
PrimeNet2400.000055.0000%2000450000.000012.0331%0.000060.4149%5.4149%
GPU722440.000059.0909%3200700000.00008.2928%0.000162.4834%3.3925%
Difference+23+164.7378+14.0434%+99996800+1999930000+1.3607+3.9463%+166.0985+13.9390%+13.9390%

Known prime factors (2 factors, 155.2 bits, 0.08606431% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1803712852926186062850397032167.951790849467503881
17 × 141509 × 328746277
2014-12-05141509328746277289.600.12060.2237
1803711884164151851615167846747912787.284522302407773870291745
5 × 104460481554774058349
2007-08-155104460481554774058349307,857,5143.805e+107.107e+10

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1803715375381247658373763758339570325709456337822707347155.235
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.581%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.463%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.118%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.901%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.800%
2017-01-13T16:19:40kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 285292618606285039703
--1.361--12.239%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:25:42LordJuliusManual testing254255--0.013--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.053--
2002-05-05T00:00:00ANONYMOUSv4_computers21257--0.106--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.050 GHz-days
Estimated T-Level:29.078
DigitsB1CurvesCompleteFacMiss
2011000798 / 1007.9800.033%
2550000798 / 2802.8505.755%
30250000522 / 6400.81644.208%

New Calculation Method

Total ECM effort:14.050 GHz-days
Estimated T-Level:29.078
DigitsB1CompleteFacMiss
201100058.0700.000%
25500008.3340.024%
302500000.87441.737%
3510000000.07293.085%
4030000000.00599.522%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002421.178
500005000000340.166
2500002500000052212.71


Lucas-Lehmer results:
No L-L results for M180371


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:49:23Oliver KruseDoppelherz
285292618606285039703
188416415185161516784674791
B90D2BAF931AF544no
2017-09-22T10:02:08Oliver KruseManual testing
285292618606285039703
188416415185161516784674791
B90D2BAF931AF544no
2017-09-22T10:05:05Oliver KruseManual testing
285292618606285039703
188416415185161516784674791
B90D2BAF931AF544no
2017-11-06T13:49:39kkmrkkblmbrbkc4.xlarge
285292618606285039703
188416415185161516784674791
B90D2BAF931AF5__no
2020-04-17T18:56:36Oliver KruseAddPrpType5
285292618606285039703
188416415185161516784674791
2A3F36321BDAE0__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T04:25:42+00:00