is 2 27570199 - 1
has 8299457 decimal digits
takes 25.522 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
Actual27117.340464.7887%200000726459305.56645.4170%22.906866.6961%1.9074%
PrimeNet2660.535762.1212%13000045000000.49415.2820%1.029764.1220%2.0007%
GPU722708.667064.2857%20000060000000.69263.9120%9.359665.6829%1.3971%
Difference+1+8.6734+0.5030%-+66645930+4.8738+1.5050%+13.5472+1.0133%+1.0133%

Known prime factors (5 factors, 248.5 bits, 0.00090132% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2757019914116493291991340.36125601
25601
-1256018.189e-90.00190.0035
27570199191639901845031444.123347549
367 × 947
2008-10-013679471.043e-70.00050.0010
275701994005520370999591548.5097264221
3 × 2421407
2008-10-01324214071.826e-60.17710.3307
27570199273967342004417511754.605496854125
53 × 3974833
2015-08-0612539748330.00010.29080.5429
2757019921476790182666081211960.89738949283940
22 × 5 × 7 × 5623 × 49477
2016-03-145623494770.01080.01080.0154

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27570199270528338887298801952030972684.484
275701995654390144814500836604028412788.870
2757019976761753073662957774637353772892.632
27570199386745814562968994086229874492994.965
275701995250307453047033619305943847533098.728
27570199303176964547082422175065582507931101.258
275701991097381769387305981683874398820932103.114
275701994115809962552431727200678814886332105.021
2757019986025720580352993893420435816703933109.406
275701995883939121131594678059673060405987135115.502
275701991083606772345755907763810822649089537302341132.993
2757019974115929941823551972900367683192856330284742139.089
275701991549118238630802202269801475570892881541459144143.474
275701995810080372747701557569083211091695690455073744145.381
2757019921030213457190866557196067678879617596652512745147.237
27570199121438150751115912808278301520328294154207176146149.767
275701991648596064816682495680438730104706042050319661747153.530
275701998306058713393169233088095838615363096318447332947155.863
27570199112759751563579088760531406818933591388614837911349159.626
275701992356823801141402663964354324323809039345844764528950164.011
2757019929687286719755269478375351505211017120188156100852
8283273
57187.598
2757019923272395290185809699318565484183276912934160370423
256119783
59193.890
2757019915917722765537231204838784078271937873626609886326
47592620487
61199.986
2757019933270087379214984411312323919788599196571343596152
077942493511
62204.372
2757019945166148191676891020178462337213499092649114795410
5909008756367
63208.135
2757019963758762797283310083584753131594721728985718052822
5067690013056492770260033
75248.495
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-11T12:46:30masserManual testing20000072645930-
skipped known factor: 1411649329199
skipped known factor: 19163990184503
skipped known factor: 400552037099959
skipped known factor: 27396734200441751
skipped known factor: 2147679018266608121
--5.566--5.417%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:54:00markrManual testing??44.123141.93009e-852.573.97542e-8
2008-10-01T01:54:00markrManual testing??48.509154.65429e-752.579.58647e-7
2014-12-03T12:19:00TJAOIManual testing254255*54.605171.59206e-552.573.27916e-5
2016-03-14T12:54:45TJAOIManual testing260261*60.897190.00552.560.011
2022-06-25T05:26:47LordJuliusManual testing261265--0.253--
2022-08-10T19:28:58LordJuliusManual testing2126540.361138.18884e-952.571.68666e-8
2022-08-10T19:28:58LordJuliusManual testing2126544.123141.04306e-752.572.14839e-7
2022-08-10T19:28:58LordJuliusManual testing2126560.897190.01152.560.022
2022-08-10T19:28:58LordJuliusManual testing2126554.605170.00052.570.000
2022-08-10T19:28:58LordJuliusManual testing2126548.509151.82551e-652.573.76001e-6
2022-06-25T05:26:47LordJuliusManual testing265266--0.271--
2022-06-25T05:26:47LordJuliusManual testing266267--0.542--
2022-03-26T23:40:01masserManual testing267268--1.084--
2022-08-10T19:28:58LordJuliusManual testing267268--1.084--
2022-03-26T23:40:01masserManual testing268269--2.168--
2022-07-24T04:57:48masserManual testing267269--3.253--
2022-03-26T23:40:01masserManual testing269270--4.337--
2022-03-26T23:40:01masserManual testing270271--8.673--


ECM factoring results:
No ECM results for M27570199


Lucas-Lehmer results:
No L-L results for M27570199


PRP results:
No PRP results for M27570199


P-1 factor-bounds graph:
B1 = 200000, B2 = 72645930 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
271
270
269
268
267
266
265
261
255
2
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:28:58+00:00