is 2 37156667 - 1
has 11185272 decimal digits
takes 47.994 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
Actual2693.213162.3188%460000144900002.29325.8993%5.506364.5418%
Target27112.866663.3803%260000400000004.54214.0366%17.408664.8585%
Difference-2-9.6535-1.0614%+200000-25510000-2.2489+1.8627%-11.9024-0.3167%

Known prime factors:
None — M37156667 is prime!

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2008-06-02Hans-Michael Elvenichv4_computers3650003467500---1.000--4.319%
2009-03-24ANONYMOUSv4_computers4450009901250---1.798--5.479%
2009-10-25ANONYMOUSv4_computers46000014490000---2.293--5.899%
2010-03-17Thomas Fehrv4_computers795000795000---1.489--2.943%
2010-07-20curtiscv4_computers795000795000---1.489--2.943%
2010-10-02ANONYMOUSv4_computers45500013877500---2.222--5.847%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-05-17curtiscv4_computers21258--0.001--
2010-03-17Thomas Fehrv4_computers21258--0.001--
2010-07-20curtiscv4_computers21258--0.001--
2010-10-02curtiscv4_computers21258--0.001--
2009-05-17curtiscv4_computers258259--0.001--
2010-03-17Thomas Fehrv4_computers258259--0.001--
2010-07-20curtiscv4_computers258259--0.001--
2010-10-02curtiscv4_computers258259--0.001--
2009-05-17curtiscv4_computers259260--0.002--
2009-10-25ANONYMOUSv4_computers21260--0.004--
2010-03-17Thomas Fehrv4_computers259260--0.002--
2010-07-20curtiscv4_computers259260--0.002--
2010-10-02ANONYMOUSv4_computers21260--0.004--
2010-10-02curtiscv4_computers259260--0.002--
2011-02-05curtiscv4_computers21260--0.004--
2009-05-17curtiscv4_computers260261--0.004--
2009-10-25ANONYMOUSv4_computers260261--0.004--
2010-03-17Thomas Fehrv4_computers260261--0.004--
2010-07-20curtiscv4_computers260261--0.004--
2010-10-02curtiscv4_computers260261--0.004--
2011-02-05curtiscv4_computers260261--0.004--
2009-05-17curtiscv4_computers261262--0.008--
2009-10-25ANONYMOUSv4_computers261262--0.008--
2010-03-17Thomas Fehrv4_computers261262--0.008--
2010-07-20curtiscv4_computers261262--0.008--
2010-10-02curtiscv4_computers261262--0.008--
2011-02-05curtiscv4_computers261262--0.008--
2009-05-17curtiscv4_computers262263--0.026--
2009-10-25ANONYMOUSv4_computers262263--0.026--
2010-03-17Thomas Fehrv4_computers262263--0.026--
2010-07-20curtiscv4_computers262263--0.026--
2010-10-02curtiscv4_computers262263--0.026--
2011-02-05curtiscv4_computers262263--0.026--
2009-05-17curtiscv4_computers263264--0.053--
2009-10-25ANONYMOUSv4_computers263264--0.053--
2010-03-17Thomas Fehrv4_computers263264--0.053--
2010-07-20curtiscv4_computers263264--0.053--
2010-10-02curtiscv4_computers263264--0.053--
2011-02-05curtiscv4_computers263264--0.053--
2009-05-17curtiscv4_computers264265--0.101--
2009-10-25ANONYMOUSv4_computers264265--0.101--
2010-03-17Thomas Fehrv4_computers264265--0.101--
2010-07-20curtiscv4_computers264265--0.101--
2010-10-02curtiscv4_computers264265--0.101--
2011-02-05curtiscv4_computers264265--0.101--
2009-05-17curtiscv4_computers265266--0.201--
2009-10-25ANONYMOUSv4_computers265266--0.201--
2010-03-17Thomas Fehrv4_computers265266--0.201--
2010-07-20curtiscv4_computers265266--0.201--
2010-10-02ANONYMOUSv4_computers265266--0.201--
2011-02-05curtiscv4_computers265266--0.201--
2006-04-14ANONYMOUSv4_computers21267--0.800--
2009-03-24ANONYMOUSv4_computers21267--0.800--
2009-05-17curtiscv4_computers266267--0.402--
2009-10-25ANONYMOUSv4_computers266267--0.402--
2010-03-17Thomas Fehrv4_computers266267--0.402--
2010-07-20curtiscv4_computers266267--0.402--
2010-10-02ANONYMOUSv4_computers266267--0.402--
2011-02-05curtiscv4_computers266267--0.402--
2008-05-21Hans-Michael Elvenichv4_computers21269--3.213--


ECM factoring results:
No ECM results for M37156667


Lucas-Lehmer results:
No L-L results for M37156667


PRP results:
No PRP results for M37156667


P-1 factor-bounds graph:
B1 = 460000, B2 = 14490000 (P-1 stage 2)
B1 = 455000, B2 = 13877500 (P-1 stage 2)
B1 = 445000, B2 = 9901250 (P-1 stage 2)
B1 = 795000 (P-1 stage 1)
B1 = 365000, B2 = 3467500 (P-1 stage 2)
B1 = 460000 (P-1 stage 1)
B1 = 455000 (P-1 stage 1)
B1 = 445000 (P-1 stage 1)
B1 = 365000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
269
267
266
265
264
263
262
261
260
259
258
this exponent TF target: 71
TF double-checked to: 67.9
250
260
270
280
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Last modified: 2023-10-02T12:12:48+00:00