is 2 1834513 - 1
has 552244 decimal digits
takes 0.100 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
Actual26716.197268.6567 %60000001200000000.96068.9036 %17.157771.4474 %
Target2610.167465.5738 %90007000000.00371.5954 %0.171166.1230 %
Difference+6+16.0297+3.0829 %+5991000+119300000+0.9569+7.3082%+16.9866+5.3244 %

Known prime factors (4 factors, 241.3 bits, 0.01315473% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183451311007079823.3923
3
-136.096e-138.723e-81.601e-7
1834513169507350138311443.9464619955
3 × 5 × 479 × 643
2008-09-304796431.271e-63.838e-57.668e-5
18345139512204845240208992982812479.654259256948444633780
22 × 5 × 8293 × 1563107129173
2021-05-0782931563107129173106,0316,699.112,512
1834513249440071886703721541594368072994.3336798536502240750584531
2371 × 2867370941476486961
2023-09-11237128673709414764869613.783e+91.229e+102.295e+10

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 11007079
skipped known factor: 16950735013831
---8.867%
2021-05-08riccardo ubertiColab_noGPU15600000012000000012
skipped known factor: 11007079
skipped known factor: 16950735013831
--0.96113.753%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08riccardo ubertiColab_noGPU1530000006000000027--0.598
2021-05-09riccardo ubertiColab_noGPU1530000006000000065--0.598


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-30markrManual testing??
43.946
14


ECM factoring results:
Total ECM effort:32.928 GHz-days
Estimated T-Level:25.581
DigitsB1CompleteFacMiss
201100013.5430.000%
25500001.45223.413%
302500000.11689.025%
3510000000.00899.248%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.487
50000660000018614.49
500006600000292.259
25000040000000125.135
25000040000000208.559


Lucas-Lehmer results:
No L-L results for M1834513


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-2
11007079
16950735013831
816EA31BDABEBED2
2017-11-06kkmrkkblmbrbkc4.xlarge
11007079
16950735013831
816EA31BDABEBED2
2021-05-07riccardo ubertiColab_noGPU12
11007079
16950735013831
951220484524020899298281
A4E0D29A5117BF61
2023-09-11Naegi Makoto5950X
11007079
16950735013831
951220484524020899298281
24944007188670372154159436807
A4E0D29A5117BF61


CERT results:
dateuseridcompid
2021-05-07curtiscjckl342401l
2023-09-11PrairiePrimep01


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)
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TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.58 ~= 68-bit
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Last modified: 2024-03-13T02:15:48+00:00