is 2 435107 - 1
has 130981 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0C1DEF0A0616AB84double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26768.291171.6418 %100000004000000000.53379.6159 %68.824774.3687 %
Target2440.000056.8182 %800012000000.001213.5923 %0.001362.6876 %
Difference+23+68.2911+14.8236 %+9992000+398800000+0.5324-3.9763 %+68.8235+11.6811 %

Known prime factors (1 factor, 117.3 bits, 0.02695221% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
43510720048423482799481592542169769844547336117.271230384979818751267993185236848
24 × 3 × 1423 × 1571 × 2146998983936858942897
2019-05-17157121469989839368589428973.100e+111.998e+123.731e+12

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.831%
2002-01-02ANONYMOUSv4_computers500001000000--0.00219.192%
2002-01-08ANONYMOUSv4_computers4096409600--0.00013.682%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.836%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.476%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.066%
2009-08-26Carsten Kossendeymother435107435107--0.00716.771%
2010-08-19Rob_Deetwopc5000001000000--0.00919.700%
2010-08-20Rob_Deetwopc100000020000006--0.01821.877%
2012-09-10markrManual testing1000000040000000012--0.53439.085%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.022
2002-02-03ANONYMOUSv4_computers212570.044
2004-01-07ANONYMOUSv4_computers212580.088
2016-02-23Mark RoseManual testing2582600.265
2012-11-27dbaughManual testing2602610.353
2012-12-01dbaughManual testing2612620.706
2015-11-15Gordon SpenceManual testing2622646.768
2018-01-06BloodERazorManual testing2642658.587
2018-12-19Gordon SpenceManual testing26526617.17


ECM factoring results:
Total ECM effort:12.625 GHz-days
Estimated T-Level:26.449
DigitsB1CompleteFacMiss
201100024.5380.000%
25500003.0824.588%
302500000.29074.846%
3510000000.02297.825%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003003.536
25000025000000523.240
25000025000000915.849


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03ANONYMOUSv4_computers0C1DEF0A0616AB840.005


PRP results:
dateuseridcompidcofactorsres64
2019-05-19Daniil Tsarkovtsar1
200484234827994815925421697698445473
0955D872DE01BADC
2019-05-19ATHec2-PRPCFDC
200484234827994815925421697698445473
0955D872DE01BADC
2019-05-19ANONYMOUSdory
200484234827994815925421697698445473
0955D872DE01BADC


CERT results:
No CERT results for M435107


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 435107 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
TF factor-bounds graph:
266
265
264
262
261
260
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.45 ~= 71-bit
250
260
270
280
290
2100
2110
2120
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00