is 2 27779551 - 1
has 8362479 decimal digits
takes 25.715 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
Actual2694.297763.7681%285000344967002.88446.2114%7.182166.0186%2.2505%
PrimeNet2660.531662.1212%13000045000000.49415.2872%1.025764.1239%2.0027%
GPU722708.601764.2857%20000060000000.69263.9159%9.294365.6843%1.3986%
Difference-1-4.3040-0.5176%+85000+28496700+2.1918+2.2954%-2.1122+0.3343%+0.3343%

Known prime factors (4 factors, 214.1 bits, 0.00077072% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27779551340746194930091444.954613304
23 × 31 × 2473
-3124731.476e-70.00020.0003
27779551441794867283611445.328795180
22 × 3 × 5 × 29 × 457
2008-09-08294571.884e-77.023e-57.922e-5
277795519103811665492162871859.65916385814993
3 × 137 × 223 × 178781
2015-12-042231787810.00330.01340.0244
27779551206194179283100541432064.161371125831521
3 × 433 × 977 × 292427
2017-08-019772924270.20380.02260.0399

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2777955115053991996653421419215282492890.282
277795513102089184376619826738222543758332104.613
277795514022017266531090611144220601560732104.988
2777955170259882007449302221030799998628733109.114
2777955191095530071030290235174984364962333109.489
277795511877152974714073165491515085918742704138123.820
27779551137048707951359074784442922159732712428139146346149.941
277795513104045524684316262011580349120431188649398560747154.443
2777955163963273343551987963057821531239783594950659705636
9
51168.774
2777955182931654933483767233525118747701309928249447300980
1
51169.148
2777955128258645857839819782689510482906645302914923601578
069984907981209
65214.102
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:34:44masserManual testing28500034496700-
skipped known factor: 34074619493009
skipped known factor: 44179486728361
skipped known factor: 910381166549216287
skipped known factor: 20619417928310054143
--2.884--6.211%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:36:00Will EdgingtonManual testing??45.328141.97215e-852.954.06085e-8
2015-12-04T13:44:35TJAOIManual testing259260*59.659180.00152.940.001
2022-06-25T07:44:46LordJuliusManual testing260264--0.123--
2017-08-01T11:25:57TJAOIManual testing264265*64.161200.07652.690.155
2022-08-10T19:28:59LordJuliusManual testing2126564.161200.20452.690.418
2022-08-10T19:28:59LordJuliusManual testing2126544.954141.47619e-752.953.03962e-7
2022-08-10T19:28:59LordJuliusManual testing2126545.328141.88450e-752.953.88037e-7
2022-08-10T19:28:59LordJuliusManual testing2126559.659180.00352.940.007
2022-08-10T19:28:59LordJuliusManual testing265266--0.269--
2022-08-10T19:28:59LordJuliusManual testing266267--0.538--
2022-08-10T19:28:59LordJuliusManual testing267268--1.076--
2022-08-03T12:34:05masserManual testing267269--3.228--


ECM factoring results:
No ECM results for M27779551


Lucas-Lehmer results:
No L-L results for M27779551


PRP results:
No PRP results for M27779551


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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2
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Last modified: 2022-08-10T19:28:59+00:00