is 2 193789 - 1
has 58337 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-03-08, 40.6% done, ETC 2024-03-18
0 primality tests remaining
ResidueStatus
L-LEAF74D0DF926BD71double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267153.331373.1343 %13806285288723910074803,232.887724.8090 %3,386.219079.7994 %
Target2440.000059.0909 %36004000000.00028.8190 %0.000262.6987 %
Difference+23+153.3313+14.0434 %+138059252+8872390607480+3,232.8875+15.9900%+3,386.2188+17.1007 %

Known prime factors:
No known factors for M193789

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.408%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.227%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.838%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.405%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.01127.922%
2006-02-01Jossv4_computers10000001000000--0.00718.007%
2009-02-03axnManual testing500000020000000012--0.10435.294%
2013-10-17alpertronManual testing100000000200000000012--1.36141.987%
2023-01-24JossManual testing100000074759955270--33.1548.065%
2023-04-12JacobZSystem76-21380628528872391007480--3,93463.724%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-11ATHec2-P_150000000705000000027--2.581
2023-02-25masserManual testing3000000084000000065--0.594
2023-09-02masserManual testing3000000023700000008231--1.140


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-27ANONYMOUSv4_computers212540.012
2022-03-07LordJuliusManual testing254255
2001-01-28ANONYMOUSv4_computers212560.050
2002-04-28ANONYMOUSv4_computers212570.099
2016-02-23Mark RoseManual testing2572580.099
2008-12-31Sturle Sundenardi.ifi2582590.198
2009-01-26Sturle Sundedietrich.ifi2592600.396
2013-08-06lycornasteroid2602610.793
2015-08-25NRManual testing2612621.585
2015-12-28Gordon SpenceManual testing2622635.066
2015-12-28Gordon SpenceManual testing26326410.13
2018-01-05BloodERazorManual testing26426519.28
2019-12-12Gordon SpenceManual testing26526638.56


ECM factoring results:
Total ECM effort:274.366 GHz-days
Estimated T-Level:31.797
DigitsB1CompleteFacMiss
2011000120.8590.000%
255000022.1460.000%
302500003.1124.450%
3510000000.35969.807%
4030000000.03596.530%
45110000000.00399.700%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002751.205
2500002500000058514.10
100000010000000014614.14
100000023662575302824.39
100000032431756505067.43
177533757890933103977.12
various4475.9826


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testingEAF74D0DF926BD710.001


PRP results:
No PRP results for M193789


CERT results:
No CERT results for M193789


P-1 factor-bounds graph:
B1 = 138062852, B2 = 8872391007480 (P-1 stage 2)
B1 = 1000000, B2 = 74759955270 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 138062852 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (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 = 100000, B2 = 10000000 (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 = 100000 (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=31.8 ~= 89-bit
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Last modified: 2024-03-19T13:09:05+00:00