is 2 27830791 - 1
has 8377903 decimal digits
takes 25.763 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
Actual2694.289763.7681%285000344967002.88446.2127%7.174266.0191%2.2510%
PrimeNet2660.530762.1212%13000045000000.49415.2885%1.024764.1244%2.0032%
GPU722708.585864.2857%20000060000000.69263.9169%9.278465.6846%1.3989%
Difference-1-4.2961-0.5176%+85000+28496700+2.1918+2.2958%-2.1043+0.3345%+0.3345%

Known prime factors (4 factors, 210.9 bits, 0.00075777% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2783079138406491591031.83969
3 × 23
-3231.043e-115.489e-68.195e-6
27830791690811909389344631755.9391241092841
1241092841
2015-08-06112410928410.000390.761169.52
2783079122547836335386278811960.96840508795340
22 × 32 × 5 × 13 × 19 × 911129
2016-03-18199111290.00840.06670.1244
2783079151051183526096009431962.14791717090481
191 × 480194191
2016-07-041914801941910.025135.11765.588

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
278307912653166178823370656770666172787.778
2783079186598328658770953651766020792892.806
27830791196069685075455293170585569372993.985
2783079115576313871446638512443874920356290336116.907
2783079135266765568248239752650248005999860936118.086
278307911151093730874181012545808609518369178338123.114
2783079159823156770691566316194579247567578321054857745148.746
27830791135447273520342759109246543025384792719701983146149.924
278307914420947169412095640647828285121683979689416049747154.953
2783079179518925811129738683085057837269339375192830062861
7529
54179.053
2783079130540429554109882371308039490817484712781992824375
99084086508111
64210.892
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:30masserManual testing28500034496700-
skipped known factor: 3840649159
skipped known factor: 2254783633538627881
--2.884--6.213%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-02-24T12:19:00TJAOIManual testing255256*55.939170.00053.040.000
2022-06-25T07:44:49LordJuliusManual testing2126031.839101.04329e-1153.042.14809e-11
2022-06-25T07:44:49LordJuliusManual testing2126055.939170.00053.040.001
2016-03-18T12:45:50TJAOIManual testing260261*60.968190.00353.030.006
2022-06-25T07:44:49LordJuliusManual testing261262--0.011--
2016-07-04T16:30:10TJAOIManual testing262263*62.147190.00352.990.006
2022-08-10T19:29:02LordJuliusManual testing2126560.968190.00853.030.017
2022-08-10T19:29:02LordJuliusManual testing2126531.839101.04329e-1153.042.14809e-11
2022-08-10T19:29:02LordJuliusManual testing2126562.147190.02552.990.052
2022-08-10T19:29:02LordJuliusManual testing2126555.939170.00053.040.001
2022-08-10T19:29:02LordJuliusManual testing265266--0.269--
2022-08-10T19:29:02LordJuliusManual testing266267--0.537--
2022-08-10T19:29:02LordJuliusManual testing267268--1.074--
2022-08-05T12:41:58masserManual testing267269--3.222--


ECM factoring results:
No ECM results for M27830791


Lucas-Lehmer results:
No L-L results for M27830791


PRP results:
No PRP results for M27830791


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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2100
Last modified: 2022-08-10T19:29:02+00:00