is 2 52780037 - 1
has 15888375 decimal digits
takes 101.113 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2704.527362.8571%610000147925003.84095.7857%8.368265.0061%
Target27336.241864.3836%3600009600000015.47453.9095%51.716365.7760%
Difference-3-31.7145-1.5264%+250000-81207500-11.6336+1.8762%-43.3481-0.7699%

Known prime factors (1 factor, 68.9 bits, 0.00013046% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
527800375339174324846556703932168.8555057948637708
22 × 3 × 59 × 7143995251
2015-01-225971439952511.61181,081.22,019.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-06-04FlashPC-Aldi61000014792500---3.841--5.786%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01ANONYMOUSv4_computers21253--2.27344e-5--
2000-01-04ANONYMOUSv4_computers21253--2.27344e-5--
2000-02-23ANONYMOUSv4_computers21254--4.54688e-5--
2000-05-10ANONYMOUSv4_computers21256--0.000--
2001-07-07ANONYMOUSv4_computers21257--0.000--
2002-05-25ANONYMOUSv4_computers21258--0.001--
2003-12-131997rj7v4_computers21259--0.001--
2004-03-261997rj7v4_computers21260--0.003--
2008-05-21ANONYMOUSv4_computers21263--0.030--
2008-11-13DerekManual testing21264--0.067--
2009-02-12Sturle Sundehaydn.ifi264265--0.071--
2009-02-21Pierre Abbatchausie265266--0.142--
2009-02-28Nemo_bis266267--0.283--
2009-04-26jfarekCarnegie4267268--0.566--
2010-03-28sannerud.comJimEmcLap268269--1.133--
2015-01-22Mark RoseManual testing268269*68.855210.482239.01.140
2014-10-22NesowaManual testing269270--2.265--


ECM factoring results:
No ECM results for M52780037


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2011-12-04FlashPC-Aldi92288574C75D5E__101.1


PRP results:
No PRP results for M52780037


P-1 factor-bounds graph:
B1 = 610000, B2 = 14792500 (P-1 stage 2)
B1 = 610000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
267
266
265
264
263
260
259
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67.8
250
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270
280
Last modified: 2023-06-05T21:50:05+00:00