is 2 5418037 - 1
has 1630992 decimal digits
takes 0.856 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBB86BA7E73266317double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26922.035166.6667 %1200000852000001.32277.0567 %23.357869.0189 %
Target2662.725865.1515 %3200032500000.04752.0767 %2.773365.8752 %
Difference+3+19.3093+1.5152 %+1168000+81950000+1.2752+4.9800%+20.5845+3.1437 %

Known prime factors (1 factor, 78.0 bits, 0.00143943% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54180372999580904832541199384492477.98927681436144054952
23 × 7 × 37 × 262111 × 50969881
2021-06-09262111509698818,696.50.69261.1876

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-03-01Sturle Sundev4_computers7000013300006--0.0322.932%
2019-12-14KingHiatus10000002250000012--0.4977.257%
2021-06-09Dylan Delgadolaptop-ryzen7370012000008520000022477.9891.3239.089%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-17ANONYMOUSv4_computers212620.057
2009-05-14GrunwalderGIMPManual testing2622630.181
2014-12-30NesowaManual testing2632640.362
2014-12-31monstManual testing2642650.690
2015-08-21snme2pm1Manual testing2652661.379
2016-06-18Gordon SpenceManual testing2662672.758
2018-06-29ramgeisManual testing2672685.517
2020-09-14TJAOIManual testing26826911.03


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computersBB86BA7E732663170.856
2000-09-23ANONYMOUSv4_computersBB86BA7E732663170.856


PRP results:
dateuseridcompidcofactorsres64
2021-06-12Klaus Nordmannno1
299958090483254119938449
626805F0C2AD0EEF


CERT results:
dateuseridcompid
2021-06-12Ben Deloi-0939c0b0e0071362f


P-1 factor-bounds graph:
B1 = 1200000, B2 = 85200000 (P-1 stage 2)
B1 = 1000000, B2 = 22500000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 70000, B2 = 1330000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00