is 2 41611 - 1
has 12527 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
Actual267714.088076.1194%87000000068172627067545038,448.319530.6576%39,162.407583.4406%
Target2440.000163.6364%500500000.00001.9347%0.000164.3399%
Difference+23+714.0880+12.4830%+869999500+681726270625450+38,448.3195+28.7229%+39,162.4075+19.1007%

Known prime factors (4 factors, 316.9 bits, 0.76152205% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4161175648799826.173909
32 × 101
-91012.571e-101.450e-81.896e-8
4161110946492588091339.99413153364
22 × 73 × 9587
2008-08-2634395871.845e-68.764e-71.009e-6
4161111769349731414420689035807866875933106.5371414211354138859999643821089
7 × 19 × 10159 × 429409 × 2437477277392643
2016-08-3042940924374772773926434.177e+12137,467256,750
416112515557129292557495278065684528259813790178344144.174302270689155819073715852260763771576481
3 × 19 × 71 × 281 × 307 × 991 × 1070291 × 44291081 × 18430042143529
2023-04-0944291081184300421435293.253e+121,039.41,941.3

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 75648799
skipped known factor: 1094649258809
--0.211--10.982%
2023-04-09JacobZMServer87000000068172627067545044144.17438,4485.94113e-576,89730.658%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-28gLausslaptop-klaus10000000100000000027--0.071


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??39.994138.53358e-80.0003.25381e-7


ECM factoring results:
Total ECM effort:56.413 GHz-days
Estimated T-Level:35.673
DigitsB1CompleteFacMiss
2011000357.1260.000%
255000068.6630.000%
3025000010.4250.003%
3510000001.29527.381%
4030000000.13587.409%
45110000000.01298.813%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002940.219
25000025000000840.313
250000250000004971.851
10000001000000001,65824.70
3000000114863248505029.33


Lucas-Lehmer results:
No L-L results for M41611


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
75648799
1094649258809
117693497314144206890358078668759
7218619FEFD086B5no
2017-09-21Oliver KruseManual testing
75648799
1094649258809
117693497314144206890358078668759
7218619FEFD086B5no
2017-09-21Oliver KruseManual testing
75648799
1094649258809
117693497314144206890358078668759
7218619FEFD086B5no
2017-11-06kkmrkkblmbrbkc4.xlarge
75648799
1094649258809
117693497314144206890358078668759
7218619FEFD086__no
2020-04-17Oliver KruseManual testing
75648799
1094649258809
117693497314144206890358078668759
2E9D05B7947A08__no
2023-04-09JacobZMServer
75648799
1094649258809
117693497314144206890358078668759
25155571292925574952780656845282598137901783
2E9D05B7947A0820no


P-1 factor-bounds graph:
B1 = 870000000, B2 = 681726270675450 (P-1 stage 2)
B1 = 870000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=35.67 ~= 102-bit
250
260
270
280
290
2100
2110
2120
2130
2140
2150
Last modified: 2023-09-25T11:53:03+00:00