is 2 1902319 - 1
has 572656 decimal digits
takes 0.103 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
Actual26715.619868.6567 %500000150000000.10155.0923 %15.721370.2528 %
Target2610.161565.5738 %100008000000.00421.7278 %0.165666.1686 %
Difference+6+15.4584+3.0829 %+490000+14200000+0.0973+3.3645%+15.5557+4.0842 %

Known prime factors (3 factors, 167.0 bits, 0.00878058% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1902319646388402314311445.87716989485
5 × 3397897
-533978973.395e-60.01460.0272
190231922739519346355991651.014597678921
32 × 72 × 1355281
2014-06-164913552810.00030.00580.0108
190231913035776875466865670492270.143342628572691196
22 × 11 × 9341 × 833638049
2021-09-079341833638049130.403.57356.6729

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 64638840231431
skipped known factor: 2273951934635599
---8.902%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-06-16TJAOIManual testing??
51.014
16
9.86968e-5


ECM factoring results:
Total ECM effort:19.356 GHz-days
Estimated T-Level:24.756
DigitsB1CompleteFacMiss
201100010.3370.003%
25500000.95138.627%
302500000.06094.140%
3510000000.00399.717%


ECM Summary

B1B2factorcurvesGHz-days
500005000000251.734
50000660000021216.59
50000675000070.554
50000675000060.475


Lucas-Lehmer results:
No L-L results for M1902319


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-1
64638840231431
2273951934635599
5AAD545CBD50B77D
2017-11-09kkmrkkblmbrbkc4.large
64638840231431
2273951934635599
5AAD545CBD50B77D
2021-09-07SRJ2877LTOS
64638840231431
2273951934635599
1303577687546686567049
331AE50078C6C145


CERT results:
dateuseridcompid
2021-09-07Albert PetterssonJkpg__I7_9800X


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=24.76 ~= 66-bit
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280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00