is 2 110629 - 1
has 33303 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-LD41734722B9154DFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268538.781775.0000 %10000000000671544773439540138,560.561932.9838 %139,099.343583.2459 %
Target2440.000061.3636 %16001200000.00004.9815 %0.000163.2883 %
Difference+24+538.7816+13.6364 %+9999998400+671544773319540+138,560.5618+28.0023%+139,099.3435+19.9576 %

Known prime factors:
No known factors for M110629

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-01-08ANONYMOUSv4_computers100000025000000--0.00927.565%
2002-06-02ANONYMOUSv4_computers327683276800--0.00119.150%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00221.737%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00324.286%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00626.791%
2006-02-01Jossv4_computers20000002000000--0.00819.188%
2012-12-25alpertronManual testing100000000200000000012--0.77140.965%
2015-12-07BloodIceMjolnir4500000000050000000000012--121.055.143%
2023-03-06Oliver Kruse5950X10000000000671544773439540--175,41272.600%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23Oliver KruseManual testing10000000400000000027--0.864
2023-08-31masserManual testing6000000047400000009647--1.291
2023-08-31masserManual testing600000001074000000065--2.504


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-14ANONYMOUSv4_computers2522530.005
2000-04-12ANONYMOUSv4_computers212540.022
2022-03-07LordJuliusManual testing254255
2000-12-14ANONYMOUSv4_computers212560.087
2002-05-05ANONYMOUSv4_computers212570.174
2016-02-23Mark RoseManual testing2572580.174
2009-01-02Sturle Sundeaalto.ifi2582590.347
2009-01-27Sturle Sundewright.ifi2592600.694
2013-09-30lycornasteroid2602611.388
2015-08-13NRManual testing2612622.777
2016-02-29Gordon SpenceManual testing26226426.62
2018-05-14chuenkitManual testing26426533.77
2019-06-04YxinityManual testing26526667.55
2021-12-23LordJuliusManual testing266267135.1
2022-04-26404_factor_not_foundManual testing267268270.2


ECM factoring results:
Total ECM effort:187.922 GHz-days
Estimated T-Level:36.166
DigitsB1CompleteFacMiss
2011000429.6450.000%
255000090.6110.000%
3025000014.9990.000%
3510000002.03913.013%
4030000000.23379.195%
45110000000.02397.702%
50440000000.00299.796%


ECM Summary

B1B2factorcurvesGHz-days
500005000000300.074
250000250000005847.693
10000001000000001,60287.51
300000030000000048579.48
4176010417601000327.300
426365242636520051.165
427763442776340051.168
4291661429166100102.344
431980843198080051.180


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testingD41734722B9154DF0.000


PRP results:
No PRP results for M110629


CERT results:
No CERT results for M110629


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 671544773439540 (P-1 stage 2)
B1 = 5000000000, B2 = 500000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 5000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=36.17 ~= 104-bit
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Last modified: 2024-03-25T03:17:14+00:00