is 2 105373819 - 1
has 31720681 decimal digits
takes 432.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276145.235364.4737 %8830008830005.25121.6421 %150.486565.0571 %
Target276145.235364.4737 %65000012000000042.53613.9287 %187.771465.8694 %
Difference---+233000-119117000-37.2849-2.2866 %-37.2849-0.8123 %

Known prime factors (1 factor, 129.5 bits, 0.00012286% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10537381993564719551927404204830528304304167595339129.4594439656854039208933142611463304
23 × 32 × 7 × 17 × 47 × 157 × 4093 × 12073 × 35311 × 83101 × 484283
2021-08-04831014842831.672e+90.62421.0058

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-08-04Ben Deloi-05053866365f8b8ce883000883000139129.4595.0981.642%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-21garonorth2632640.019
2010-08-31James Hintzryan2642650.035
2012-05-13omiXorpLLB16-T5500-152652660.071
2013-09-03Cow_tippingManual testing2662670.142
2013-09-05Cow_tippingManual testing2672680.284
2013-09-07Cow_tippingManual testing2682690.567
2013-09-18processinfoManual testing2692701.135
2014-05-07Andreas_TruetschManual testing2702712.269
2015-01-04SWL551Manual testing2712724.539
2020-03-22Jan S.Manual testing2722739.077
2020-04-03SRBaseManual testing27327418.15
2021-03-28TheJudgerManual testing274276108.9


ECM factoring results:
No ECM results for M105373819


Lucas-Lehmer results:
No L-L results for M105373819


PRP results:
No PRP results for M105373819


CERT results:
No CERT results for M105373819


P-1 factor-bounds graph:
B1 = 883000 (P-1 stage 1)
103
104
105
106
103
104
105
106
TF factor-bounds graph:
276
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67
250
260
270
280
290
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2130
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Last modified: 2024-03-13T02:15:48+00:00