is 2 253877567 - 1
has 76424763 decimal digits
takes 2,764.445 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
Actual2670.117058.2090%----0.117058.2090%0.0000%
PrimeNet27660.281063.1579%10000006500000070.84315.4607%131.124165.1697%2.0118%
GPU72280964.506565.0000%15000006500000078.30744.0070%1,042.813966.4024%1.4024%
Difference-13-964.3894-6.7910%-1500000-65000000-78.3074-4.0070%-1,042.6969-8.1935%-8.1935%

Known prime factors (4 factors, 228.5 bits, 0.00009002% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2538775673066841009371238.158604
22 × 151
2008-01-0341511.631e-100.00020.0002
25387756714326458806700929271960.3132821529089
19 × 148501531
2016-01-28191485015310.0010127.74238.59
25387756776307425179424446471962.72715028390669
15028390669
2016-10-031150283906690.004012,92824,145
2538775671856256889918128375912167.331365581116885
3 × 5 × 19 × 1871 × 685591
2022-05-0218716855910.22060.61771.1015

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2538775674393697138744040364212377725993098.471
253877567234022740859691822767708333423931100.884
2538775675692844753926529805037063192276732105.489
2538775671093215183478437598968400711104371176938123.040
25387756726593587868066847676877081845752881885739127.644
253877567141646183741218702164808039216051832537740130.057
253877567335271715675762131365080930757795546758313082755349161.198
2538775678155830586007191751998774929724887092992657696900950165.802
25387756743440632511832764742104129108164694560615807657824
9
51168.215
25387756720292882164949606569689236905451254314300080752490
12308479
58190.371
25387756762235043221780522247370122558339180036600626880039
3182223129016944823
69228.529
P-1 results:
No P-1 results for M253877567


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-01-28T12:26:53TJAOIManual testing260261*60.313190.0005,6850.001
2022-07-03T17:39:58LordJuliusManual testing2126260.313190.0015,6850.002
2022-07-03T17:39:58LordJuliusManual testing2126238.158121.63095e-105,6853.35392e-10
2016-10-03T21:19:21TJAOIManual testing262263*62.727190.0025,6850.003
TF assumed completed to 67 but no detailed record exists
2022-05-02T10:28:10TJAOIManual testing267268*67.331210.1045,6850.213


ECM factoring results:
No ECM results for M253877567


Lucas-Lehmer results:
No L-L results for M253877567


PRP results:
No PRP results for M253877567


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
263
262
261
230
240
250
260
270
280
290
2100
Last modified: 2022-07-03T17:39:58+00:00