is 2 27067 - 1
has 8148 decimal digits
takes 0.000 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
Actual2671,097.791377.6119%500000000100000000000.668113.6065%1,098.459480.6582%3.0462%
PrimeNet2400.000062.5000%500100000.00003.9970%0.000063.9989%1.4989%
GPU722440.000165.9091%500100000.00001.7061%0.000166.4907%0.5816%
Difference+23+1,097.7912+11.7028%+499999500+9999990000+0.6681+11.9004%+1,098.4593+14.1675%+14.1675%

Known prime factors (4 factors, 308.1 bits, 1.13819688% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
270678986045328231239.70916599633
3 × 17 × 167 × 1949
-16719495.396e-61.734e-72.231e-7
27067727262370389511446.0481343448425
52 × 11 × 227 × 21521
2008-08-26227215210.00069.107e-71.438e-6
2706755986337025697508609581792086170333108.78710342176271049157388994308953
3 × 97 × 1283 × 27700798630382392505201
2018-04-271283277007986303823925052016.885e+129.908e+111.851e+12
270671502103380369915998087728517390312935113.533277478734320374625575004344292
22 × 36 × 13 × 19 × 84648023 × 4551226113078577
2018-04-268464802345512261130785775.273e+12162,795304,055

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27067653521262583613222089886732685.756
2706750309576227447937069828266579000180990717756945148.496
270671349796906369157434385377045738776554650290316747153.241
270674071675617473475914937929539995366043709519355347154.834
27067109242326497792087315808288988901630950427377767949159.580
2706736588261660465528801367406613304271972924704381872
326490119
59194.543
2706798165649767046092363407931589502925112111551271312
7160257817
60199.289
2706784097266100829616280168754163899522753588900240562
29368479527968687
67222.319
2706775570184516227512150163398415052866615901412247268
83223145478552141543807713401
79262.028
2706761160777087766731821040255990473466794024492702395
3163705416670830505434727327337
81268.367
2706754959351522044266516447407276195736767021582832855
5160402138787086202307590112502056281682351
93308.076
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-22T01:05:42kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 898604532823
skipped known factor: 72726237038951
--0.668--13.607%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-02T00:00:00ANONYMOUSv4_computers??46.048140.0002.51787e-50.000
2008-08-26T19:59:00ANONYMOUSManual testing??46.048140.0002.51787e-50.000


ECM factoring results:

Old Calculation Method

Total ECM effort:15.788 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001303 / 10013.0300.000%
25500001303 / 2804.6540.945%
302500001113 / 6401.73917.545%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:15.788 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000157.9060.000%
255000031.9380.000%
302500005.4960.410%
3510000000.79645.098%
4030000000.09890.626%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001890.089
2000002000000010.002
250000250000006021.422
1000000100000000110.104
3000000300000000330.935
30000003000000001614.563
30000003000000003068.673


Lucas-Lehmer results:
No L-L results for M27067


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:36:47Oliver KruseOllaptop
898604532823
72726237038951
78D7916CA0FCF6__no
2017-09-21T20:27:15Oliver KruseManual testing
898604532823
72726237038951
78D7916CA0FCF6__no
2017-10-12T16:30:04kkmrkkblmbrbkManual testing
898604532823
72726237038951
78D7916CA0FCF6__no
2018-04-28T16:31:55Oliver KruseGTX-5
898604532823
72726237038951
15021033803699159980877285173903129
84DE477A0BB838__no
2018-04-29T01:33:50ANONYMOUSdory
898604532823
72726237038951
559863370256975086095817920861703
15021033803699159980877285173903129
84DE477A0BB838__no
2018-04-29T11:30:48Oliver KruseGTX-0
898604532823
72726237038951
559863370256975086095817920861703
15021033803699159980877285173903129
84DE477A0BB838__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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TF factor-bounds graph:
267
2
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2120
Last modified: 2018-04-29T11:30:48+00:00