is 2 92419 - 1
has 27821 decimal digits
takes 0.000 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
Actual267321.513174.6269 %10000000007234055603775012,702.833228.8033 %13,024.346381.9352 %
Target2440.000061.3636 %900600000.00003.2786 %0.000062.6304 %
Difference+23+321.5131+13.2632 %+999999100+72340555977750+12,702.8332+25.5246%+13,024.3462+19.3048 %

Known prime factors (3 factors, 258.2 bits, 0.27935206% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
92419115686242617700376412063.32762587910828780
22 × 5 × 163 × 8191 × 2343883
2014-04-238191234388318.4650.00040.0008
9241917006346139928340545811994732890.4589200676343570229360744
23 × 11 × 10529 × 9930016171321447
2017-03-291052999300161713214473.514e+91,743,2703,255,942
924192656675481255050079215027576618332104.389143729940880936283622146289
33 × 332567 × 1031519539 × 15517682839
2021-04-291031519539155176828391.535e+125.86696.7645

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-12-17kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 11568624261770037641
---40.632%
2022-07-20George WoltmanSkylakeX100000000072340556037750
skipped known factor: 11568624261770037641
--14,92667.561%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-24nordisweet1640000000524000000027--1.091
2021-04-29nordisweet1640000000524000000065P+132104.3891.091


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.006


ECM factoring results:
Total ECM effort:13.504 GHz-days
Estimated T-Level:30.852
DigitsB1CompleteFacMiss
201100087.4910.000%
255000013.9260.000%
302500001.69818.297%
3510000000.17084.329%
4030000000.01598.552%
45110000000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.014
5000050000002740.636
250000250000005125.940
25000025000000730.847
10000001000000001416.068


Lucas-Lehmer results:
No L-L results for M92419


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCAB3339E23081E5__
2017-09-21Oliver KruseManual testingAB3339E23081E5__
2017-10-02kkmrkkblmbrbkManual testing
11568624261770037641
1700634613992834054581199473
AB3339E23081E574
2017-12-07ATHxps
11568624261770037641
1700634613992834054581199473
AB3339E23081E574
2020-04-17Oliver KruseAddPrpType5
11568624261770037641
1700634613992834054581199473
E0BBC2E676CC3EFA
2021-04-30LOBESGoogleCloud
11568624261770037641
1700634613992834054581199473
26566754812550500792150275766183
E0BBC2E676CC3EFA


CERT results:
No CERT results for M92419


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 72340556037750 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 40000000, B2 = 5240000000 (P+1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 40000000 (P+1 stage 1)
102
103
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105
106
107
108
109
1010
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.85 ~= 86-bit
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Last modified: 2024-03-13T02:15:48+00:00