is 2 1922951 - 1
has 578866 decimal digits
takes 0.104 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
Actual26715.452268.6567%60000001200000000.96068.9424%16.412871.4595%2.8028%
PrimeNet2570.010063.1579%90001700000.00143.0937%0.011464.2977%1.1398%
GPU722610.159765.5738%100001700000.00151.7621%0.161266.1804%0.6066%
Difference+6+15.2925+3.0829%+5990000+119830000+0.9591+7.1803%+16.2516+5.2792%+5.2792%

Known prime factors (5 factors, 257.2 bits, 0.01337423% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19229513845903721.8751
1
-111.453e-137.866e-81.601e-7
1922951451577659527771445.36011741788
22 × 2935447
2014-01-17429354473.687e-60.01260.0235
192295116974152036664071650.592441356853
3 × 7 × 21016993
2014-06-047210169930.00010.09010.1682
19229514420211643576719090092168.583114933028547704
23 × 13537 × 1061285999
2021-04-3013537106128599944.3474.54948.4952
192295120132010329064150096892270.770523466545145044
22 × 31 × 73 × 101 × 5081 × 112687
2015-10-055081112687135.680.00090.0009

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19229511736723875510829226312167.235
192295165280942240262456805212272.467
192295116999705220666634678734401272890.458
192295177425758920578802050079541672892.645
1922951766514784918529112040232622392995.952
19229511996068828623772292733937333486799335113.943
19229519091166105987679652948395877145635335116.130
192295129479415108625258675828667631475681736117.827
192295175029344472304002611401232769396066336119.175
1922951341723804129226337440956620922881742337121.362
19229517676687096210651731942327792668881888267941135.818
192295134963743000516335140313194549102030237175942138.005
192295188987746465136132230833114215387586138820142139.353
1922951288555580994067380555195835311518639571368943141.050
19229511314236603472003958843187391277173661356796944143.237
1922951342238241093506446354957766460301763694046639050349161.228
19229513388157577270586896773433886193719108226695361115150164.535
192295115431483567360213504801302570811903254614457283367
1
51166.722
192295140184878275376762661018961844531140615684336116630
984177
56184.713
192295113030525390897681958061639703214082899486372369398
6464353
57186.410
192295159347988946161347198755843960993211162631505109473
3799913
57188.597
192295115104915378993363747182640789658710839443910133799
29863807
58189.945
192295115454714391390631764830080841476784728728223532395
9451939276831
63206.588
192295158092039370816714615380959760870804993549852315309
12403004932721
64211.820
192295168210423342108421670595323580825743793921836197607
765061367947203442039
71235.305
192295126233067176268480522820756674546847053427537159788
8296472810172253559348116217
78257.180
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-10-05T01:04:17alpertronManual testing50000015000000122270.7700.0390.2090.0795.099%
2021-05-04T10:42:32riccardo ubertiColab_noGPU15600000012000000012-
skipped known factor: 3845903
skipped known factor: 45157765952777
skipped known factor: 1697415203666407
skipped known factor: 2013201032906415009689
--0.961--8.942%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-04T11:54:25riccardo ubertiColab_noGPU1530000006000000027--0.598


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-01-17T09:35:00TJAOIManual testing??45.360141.24935e-60.2222.66169e-6
2014-06-04T11:20:00TJAOIManual testing??50.592166.13365e-50.2220.000


ECM factoring results:

Old Calculation Method

Total ECM effort:16.758 GHz-days
Estimated T-Level:23.857
DigitsB1CurvesCompleteFacMiss
2011000216 / 1002.16011.408%
2550000216 / 2800.77146.171%

New Calculation Method

Total ECM effort:16.758 GHz-days
Estimated T-Level:23.857
DigitsB1CompleteFacMiss
20110007.4040.061%
25500000.67151.115%
302500000.04295.932%
3510000000.00299.809%


ECM Summary

B1B2factorcurvesGHz-days
500005000000201.389
50000660000018914.81
50000675000070.555


Lucas-Lehmer results:
No L-L results for M1922951


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:29:00alpertronManual testing
3845903
45157765952777
1697415203666407
2013201032906415009689
949B2D19385ECD__no
2017-10-20T06:41:45Oliver KruseThreadripper
3845903
45157765952777
1697415203666407
2013201032906415009689
949B2D19385ECD__no
2021-04-30T16:08:42mikrNitron
3845903
45157765952777
1697415203666407
442021164357671909009
2013201032906415009689
5C67199B64A0333Bno
2021-04-30T19:56:02riccardo ubertiColab_noGPU12
3845903
45157765952777
1697415203666407
442021164357671909009
2013201032906415009689
5C67199B64A0333Bno


P-1 factor-bounds graph:
B1 = 6000000, B2 = 120000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-02-17T11:38:41+00:00