is 2 4681519 - 1
has 1409278 decimal digits
takes 0.616 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L07C17651D2E82697double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.347165.6716 %2400001190487901.28167.1083 %7.628768.1118 %
Target2651.558464.6154 %3000030000000.03662.2312 %1.595065.4049 %
Difference+2+4.7887+1.0563 %+210000+116048790+1.2450+4.8771%+6.0337+2.7069 %

Known prime factors (1 factor, 70.2 bits, 0.00150021% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
468151913872517695092566850092270.233148162569617816
23 × 13 × 277 × 5143105027
2010-02-13277514310502751.04153.49799.92

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-21ANONYMOUSv4_computers1500015000--0.0030.408%
2009-08-19USAFSSP4_26006000011100006--0.0243.009%
2023-03-17USAFSS6917th_Scty_Sq240000119048790--1.5378.555%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-12-27ANONYMOUSv4_computers212610.033


ECM factoring results:
Total ECM effort:0.395 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06ANONYMOUSv4_computers07C17651D2E826970.616
2001-05-27ANONYMOUSv4_computers07C17651D2E826970.616


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
1387251769509256685009
4CD5D3F3C39BD527
2018-03-06ATHec2-PRPCFDC
1387251769509256685009
4CD5D3F3C39BD527


CERT results:
No CERT results for M4681519


P-1 factor-bounds graph:
B1 = 240000, B2 = 119048790 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 60000, B2 = 1110000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
this exponent TF target: 65
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00