is 2 43112609 - 1
has 12978189 decimal digits
takes 65.807 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
Actual2681.382561.7647%530000160325003.04246.8027%4.424964.3657%
Target27222.182263.8889%300000500000006.65703.9628%28.839365.3199%
Difference-4-20.7997-2.1242%+230000-33967500-3.6146+2.8399%-24.4143-0.9542%

Known prime factors:
None — M43112609 is prime!

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2008-07-25UCLA Mathematicsv4_computers720000720000---1.594--3.228%
2009-10-25ANONYMOUSv4_computers4550004550000---1.501--5.263%
2011-02-05ANONYMOUSv4_computers53000016032500---3.042--6.803%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-07-04garyfuv4_computers21259--0.002--
2009-07-04garyfuv4_computers259260--0.002--
2009-10-25ANONYMOUSv4_computers21260--0.004--
2011-02-05ANONYMOUSv4_computers21260--0.004--
2009-07-04garyfuv4_computers260261--0.004--
2009-10-25ANONYMOUSv4_computers260261--0.004--
2011-02-05ANONYMOUSv4_computers260261--0.004--
2004-03-16ANONYMOUSv4_computers21262--0.014--
2009-07-04garyfuv4_computers261262--0.007--
2009-10-25ANONYMOUSv4_computers261262--0.007--
2011-02-05ANONYMOUSv4_computers261262--0.007--
2009-07-04garyfuv4_computers262263--0.023--
2009-10-25ANONYMOUSv4_computers262263--0.023--
2011-02-05ANONYMOUSv4_computers262263--0.023--
2009-07-04garyfuv4_computers263264--0.046--
2009-10-25ANONYMOUSv4_computers263264--0.046--
2011-02-05ANONYMOUSv4_computers263264--0.046--
2009-07-04garyfuv4_computers264265--0.087--
2009-10-25ANONYMOUSv4_computers264265--0.087--
2011-02-05ANONYMOUSv4_computers264265--0.087--
2009-07-04garyfuv4_computers265266--0.173--
2009-10-25ANONYMOUSv4_computers265266--0.173--
2011-02-05ANONYMOUSv4_computers265266--0.173--
2009-10-25ANONYMOUSv4_computers266267--0.347--
2011-02-05ANONYMOUSv4_computers266267--0.347--
2007-07-24ANONYMOUSv4_computers21268--1.383--
2009-10-25ANONYMOUSv4_computers267268--0.693--
2011-02-05ANONYMOUSv4_computers267268--0.693--


ECM factoring results:
No ECM results for M43112609


Lucas-Lehmer results:
No L-L results for M43112609


PRP results:
No PRP results for M43112609


P-1 factor-bounds graph:
B1 = 530000, B2 = 16032500 (P-1 stage 2)
B1 = 720000 (P-1 stage 1)
B1 = 455000, B2 = 4550000 (P-1 stage 2)
B1 = 530000 (P-1 stage 1)
B1 = 455000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 72
TF double-checked to: 67.9
250
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Last modified: 2023-10-02T12:12:48+00:00