is 2 105218053 - 1
has 31673791 decimal digits
takes 418.936 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
Actual276145.450364.4737%8510008510004.91311.6163%150.363465.0479%0.5742%
PrimeNet2729.089162.5000%450000220000009.37655.3973%18.465564.5240%2.0240%
GPU72276145.450364.4737%6500002400000011.09733.9280%156.547665.8692%1.3955%
Difference---+201000-23149000-6.1842-2.3117%-6.1842-0.8213%-0.8213%

Known prime factors (1 factor, 91.3 bits, 0.00008681% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10521805331358369893631033537504738332891.34114901610987627300772
22 × 11 × 19 × 23 × 61 × 733 × 128677 × 134699
2021-07-221286771346999,441,5550.74481.5119

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-22T15:33:27mikrNitron8510008510002891.3414.913837.99.831.616%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-24T20:51:00RichardFX5000_1263264--0.019--
2010-08-30T18:45:00WPSs2264265--0.036--
2012-05-10T17:05:00subgeniusgigacare265266--0.071--
2013-09-09T21:51:00willmoreManual testing266267--0.142--
2013-09-12T23:41:00arnaudSRV-210267268--0.284--
2013-09-19T01:24:00SMoffatManual testing268269--0.568--
2014-06-15T17:48:00webbertManual testing269270--1.136--
2014-11-08T16:51:00ANONYMOUSManual testing270271--2.273--
2015-01-09T19:15:00shaugeManual testing271272--4.545--
2020-03-31T03:16:02Will HockensmithManual testing272273--9.091--
2020-04-07T00:57:44Will HockensmithManual testing273274--18.18--
2020-10-31T18:56:16ktonyGPU72_TF274275--36.36--
2021-03-20T00:44:03RichD0GPU72_TF275276--72.73--


ECM factoring results:
No ECM results for M105218053


Lucas-Lehmer results:
No L-L results for M105218053


PRP results:
No PRP results for M105218053


P-1 factor-bounds graph:
B1 = 851000 (P-1 stage 1)
104
105
106
104
105
106
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-07-22T16:16:46+00:00