is 2 756799 - 1
has 227820 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5613097690306831double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26739.262670.1493 %1530000520200000.12406.4350 %39.386672.0701 %
Target2440.000054.5455 %1300025000000.004317.0127 %0.004362.2785 %
Difference+23+39.2626+15.6038 %+1517000+49520000+0.1197-10.5777 %+39.3823+9.7917 %

Known prime factors (2 factors, 172.5 bits, 0.02279163% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
75679962763936057008928968011912582.3764146671444928503405
5 × 10677731 × 77669524451
2014-01-2410677731776695244511,294,223122.84228.88
75679913365782802361527570472025032890.111883047070778471401949
19 × 9929 × 31469 × 148744802771
2019-01-1131469148744802771331,321,181234.69438.34

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-11ANONYMOUSv4_computers650001800000--0.00522.110%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00622.974%
2002-12-02ANONYMOUSv4_computers65537655370012--0.01225.633%
2003-07-06ANONYMOUSv4_computers1310721310720012--0.02428.235%
2011-06-16JossManual testing400000400000--0.01217.410%
2011-08-17JossManual testing476808476808--0.01417.955%
2011-10-29JossManual testing953616953616--0.02820.099%
2012-07-14JossManual testing15135981513598--0.04421.518%
2013-10-31David Campeaui5-2500k15300005202000012--0.12433.735%
2016-03-17alpertronManual testing5000001500000012---29.578%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-15ANONYMOUSv4_computers212550.006
2001-03-17ANONYMOUSv4_computers212560.013
2001-12-08ANONYMOUSv4_computers212570.025
2003-09-29ANONYMOUSv4_computers212580.051
2008-10-14Sturle Sundewright.ifi2582590.051
2008-10-14Sturle Sundewright.ifi2592600.101
2010-06-18Architects Cubedm1_tt2602610.203


ECM factoring results:
Total ECM effort:11.270 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.068
5000050000002786.203
25000025000000343.862
25000025000000101.136


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-07-17ANONYMOUSv4_computers56130976903068310.015


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
6276393605700892896801191
28250F9D9EFBB0C4
2017-10-13Oliver KruseThreadripper-PC
6276393605700892896801191
28250F9D9EFBB0C4
2017-12-17ATHec2-1xh
6276393605700892896801191
28250F9D9EFBB0C4
2019-01-12JayderBlack_Adder
6276393605700892896801191
1336578280236152757047202503
EB02C38381F98940
2019-01-14Oliver KruseGTX-3
6276393605700892896801191
1336578280236152757047202503
EB02C38381F98940


CERT results:
No CERT results for M756799


P-1 factor-bounds graph:
B1 = 1530000, B2 = 52020000 (P-1 stage 2)
B1 = 1530000 (P-1 stage 1)
B1 = 1513598 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 953616 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 476808 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65000, B2 = 1800000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 65000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
290
2100
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Last modified: 2024-03-03T02:29:32+00:00