is 2 82589933 - 1
has 24862048 decimal digits
takes 257.721 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
Verified Mersenne Prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27592.649464.0000%730000144175006.67733.8597%99.326765.3895%
Target27592.649464.0000%5500009000000024.53973.8900%117.189165.4004%
Difference---+180000-75582500-17.8624-0.0303%-17.8624-0.0109%

Known prime factors:
None — M82589933 is prime!

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-08-12La GüiraLa_duodecima73000014417500---6.677--3.860%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-12-15Architects Cubedm1_57264265--0.045--
2011-03-26steinrarManual testing265267--0.271--
2011-03-26steinrarManual testing267268--0.362--
2011-03-26steinrarManual testing268269--0.724--
2011-03-26steinrarManual testing269270--1.448--
2011-03-26steinrarManual testing270271--2.895--
2016-11-17Judge HaleManual testing271272--5.791--
2016-11-17Judge HaleManual testing272273--11.58--
2016-12-16RichD0Manual testing273274--23.16--
2016-12-18Mark RoseManual testing274275--46.33--


ECM factoring results:
No ECM results for M82589933


Lucas-Lehmer results:
No L-L results for M82589933


PRP results:
No PRP results for M82589933


P-1 factor-bounds graph:
B1 = 730000, B2 = 14417500 (P-1 stage 2)
B1 = 730000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
265
this exponent TF target: 75
TF double-checked to: 67.9
250
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280
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Last modified: 2023-10-02T12:12:48+00:00