is 2 1919007473 - 1
has 577678812 decimal digits
takes 224,594.949 GHz-days to do one PRP test
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2868,166.446063.9535%----8,166.446063.9535%
Target28965,331.569065.1685%10000000440000000042,286.65194.1129%107,618.220966.6011%
Difference-3-57,165.1230-1.2151%-10000000-4400000000-42,286.6519-4.1129%-99,451.7748-2.6476%

Known prime factors (9 factors, 527.3 bits, 0.00002748% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1919007473329762244160331444.9068592
24 × 3 × 179		2012-08-20161791.780e-90.00420.0055
19190074736095343436489911549.115158815
5 × 23 × 1381		2019-07-132313814.420e-80.01650.0238
19190074737133449719083991549.342185863
23 × 8081		2019-07-132380815.983e-80.07840.1395
191900747313487206701888071650.261351411
3 × 41 × 2857		2019-07-134128571.323e-70.03300.0494
1919007473153098109154744331753.7653988992
29 × 3 × 72 × 53		2019-07-135125121.000e-60.08690.1768
1919007473282686956699708631754.6507365447
32 × 818383		2019-07-1398183832.224e-67.568214.132
1919007473307635169861014355759932374.7048015476077852
22 × 3 × 431 × 9221 × 168071		2022-02-0292211680712.05063.03363.1847
1919007473341592676140203469056172374.8558900243509896
23 × 32 × 58763 × 2103611		2022-02-025876321036113.873528.87936.327
1919007473615557263483845549052572375.70416038427993236
22 × 32 × 11 × 40501080791		2022-02-0911405010807914.8989374,470699,406

502 Composite Factors:
P-1 results:
No P-1 results for M1919007473


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-07-132125550.261162.50113e-6106,7345.23626e-6
2019-07-132125553.765172.50113e-6106,7345.23626e-6
2019-07-132125554.650172.50113e-6106,7345.23626e-6
2019-07-132125549.115152.50113e-6106,7345.23626e-6
2019-07-132125549.342152.50113e-6106,7345.23626e-6
TF systematically completed to 64 but no per-exponent detailed record exists
2022-02-02ramgeisr4mg31s27427574.704231.994456,5024.089
2022-02-02ramgeisr4mg31s27427574.855231.994456,5024.089
2022-07-30LordJuliusWhiteBox27427574.704231.994456,5024.089
2022-07-30LordJuliusWhiteBox27427574.855231.994456,5024.089
2022-02-09ramgeisr4mg31s27527675.704233.988456,5028.177
2022-02-09ramgeisr4mg31s276277--7.975--
2022-02-09ramgeisr4mg31s277278--15.95--
2022-02-14ramgeisr4mg31s278279--31.90--
2022-02-16ramgeisr4mg31s279280--63.80--
2022-02-18ramgeisr4mg31s280281--127.6--
2022-02-26ramgeisr4mg31s281282--255.2--
2022-03-13ramgeisr4mg31s282283--510.4--
2022-04-24ramgeisr4mg31s283284--1,021--
2022-05-08ramgeisr4mg31s284285--2,042--
2022-05-08ramgeisr4mg31s285286--4,083--


ECM factoring results:
No ECM results for M1919007473


Lucas-Lehmer results:
No L-L results for M1919007473


PRP results:
No PRP results for M1919007473


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
286
285
284
283
282
281
280
279
278
277
276
275
255
this exponent TF target: 89
250
260
270
280
290
Last modified: 2023-07-11T14:45:05+00:00