is 2 1049891 - 1
has 316049 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8F83A42F7BB2FFD5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271455.359970.4225 %1000000010000000002.74788.7652 %458.107873.0151 %
Target2600.146365.0000 %4500950000.00040.6333 %0.146765.2216 %
Difference+11+455.2136+5.4225 %+9995500+999905000+2.7474+8.1320%+457.9611+7.7934 %

Known prime factors (1 factor, 83.6 bits, 0.00796398% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1049891147927625526019579077663112683.6137044903972222810705
32 × 5 × 11 × 37 × 95317 × 4035504071
2016-04-229531740355040711,865,8459.452917.648

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-22Jossv4_computers1000092500--0.0011.511%
2012-01-03bcp19Toshiba-740Q2000001000000012--0.0327.814%
2012-01-23bcp19Toshiba-740Q20000010000000012--0.24210.850%
2014-08-21JossManual testing261133261133--0.0113.199%
2014-10-18JossManual testing322266322266--0.0143.468%
2021-07-28ViliamF3100000001000000000--2.84318.308%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-14ANONYMOUSv4_computers212570.018
2003-03-27ANONYMOUSv4_computers212580.037
2016-02-23Mark RoseManual testing2582600.110
2009-02-17Sturle Sundefoster.ifi2602610.146
2010-11-10Michael CManual testing2612620.293
2010-12-09Michael CManual testing2622630.935
2013-01-10dbaughManual testing2632641.870
2013-04-09Never Odd Or EvenManual testing2642653.559
2013-04-09Never Odd Or EvenManual testing2652667.118
2013-04-09Never Odd Or EvenManual testing26626714.24
2013-04-09Never Odd Or EvenManual testing26726828.47
2013-12-10Never Odd Or EvenManual testing26826956.94
2013-12-10Never Odd Or EvenManual testing269270113.9
2014-04-01Never Odd Or EvenManual testing270271227.8


ECM factoring results:
Total ECM effort:17.403 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002799.63
50000500000020.072
25000025000000447.696


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-11MadPooManual testing8F83A42F7BB2FFD50.031


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
14792762552601957907766311
D186885AA8F47D32
2017-10-15Oliver KruseThreadripper-PC
14792762552601957907766311
D186885AA8F47D32
2017-12-27ATHec2-1xh
14792762552601957907766311
D186885AA8F47D32


CERT results:
No CERT results for M1049891


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 322266 (P-1 stage 1)
B1 = 261133 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 10000, B2 = 92500 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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105
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107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
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270
269
268
267
266
265
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00