is 2 12377 - 1
has 3726 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8091B2AEAEAA631Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672,400.736779.1045%1000000000000140013887388002628021,815,211.901645.6159%21,817,612.638388.6362%
Target2440.000268.1818%500500000.00001.3490%0.000268.6111%
Difference+23+2,400.7365+10.9227%+999999999500+1400138873879976280+21,815,211.9016+44.2669%+21,817,612.6381+20.0251%

Known prime factors:
No known factors for M12377

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.000--1.691%
2001-07-17Alex Kruppav4_computers1000000100000000---0.002--4.285%
2001-09-22ANONYMOUSv4_computers430000004290000000---0.078--10.595%
2002-04-28ANONYMOUSv4_computers163841638400---2.99573e-5--0.539%
2002-06-09ANONYMOUSv4_computers327683276800---5.99146e-5--0.887%
2002-07-14ANONYMOUSv4_computers655366553600---0.000--1.350%
2003-02-02ANONYMOUSv4_computers13107213107200---0.000--1.933%
2003-03-27ANONYMOUSv4_computers26214426214400---0.000--2.634%
2003-04-03ANONYMOUSv4_computers52428852428800---0.001--3.442%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.002--4.350%
2003-05-19ANONYMOUSv4_computers2097152209715200---0.004--5.350%
2003-07-06ANONYMOUSv4_computers4194304419430400---0.008--6.436%
2003-09-29ANONYMOUSv4_computers8388608838860800---0.015--7.601%
2003-09-29ANONYMOUSv4_computers167772161677721600---0.031--8.837%
2011-05-13Jocelyn LaroucheManual testing400000000400000000---0.114--7.759%
2012-10-12Jocelyn LaroucheManual testing745415543745415543---0.213--8.712%
2013-02-01bcp19Toshiba-740Q10000000000100000000000---4.262--17.323%
2018-07-08James Hintz3_1_201825861023105193957673287512---37.21--22.755%
2022-03-15-Anonymous-T5810100000000000100013732677278420---1,558,297--40.316%
2022-10-15-Anonymous-T581010000000000001400138873880026280---21,815,212--45.616%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-09ATH5960X100000000024100000000027--4.099
2023-07-09masserManual testing6400000002560000000016819--0.659
2023-08-22masserManual testing64000000011456000000065--2.018


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.048--
2000-01-19ANONYMOUSv4_computers253254--0.097--
2000-07-17ANONYMOUSv4_computers21255--0.388--
2000-08-31ANONYMOUSv4_computers21256--0.776--
2002-08-17ANONYMOUSv4_computers21257--1.551--
2016-02-23LaurVManual testing257258--1.551--
2010-07-11George WoltmanManual testing258259--3.102--
2010-07-11George WoltmanManual testing259260--6.205--
2012-11-22bcp19Manual testing260261--12.41--
2015-09-08Sid & AndyWoody261262--24.82--
2016-09-29Sid & AndyWoody262263--79.31--
2018-10-15snme2pm1g10263264--158.6--
2019-03-27Anton RepkoManual testing264265--301.9--
2021-10-24Ruslan BorisovManual testing265266--603.8--


ECM factoring results:
Total ECM effort:375,017.193 GHz-days
Estimated T-Level:51.533
DigitsB1CompleteFacMiss
20110006,084.6860.000%
25500002,471.0260.000%
30250000793.2590.000%
351000000211.0510.000%
40300000048.3500.000%
45110000009.8400.005%
50440000001.81516.288%
551100000000.30773.597%
602600000000.04895.318%
658000000000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.058
10000001000000001,7937.378
30000003000000002002.469
1100000011000000008,719394.7
430000002404906604262,7089,041
4400000044000000001,564283.2
11000000080453085763053,000323,987
260000000851710200841536041,302


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George Woltman8091B2AEAEAA631A2.44102e-6
2015-04-11MadPooManual testing8091B2AEAEAA631A2.44102e-6


PRP results:
No PRP results for M12377


P-1 factor-bounds graph:
B1 = 1000000000000, B2 = 1400138873880026280 (P-1 stage 2)
B1 = 100000000000, B2 = 100013732677278420 (P-1 stage 2)
B1 = 1000000000000 (P-1 stage 1)
B1 = 25861023105, B2 = 1939576732875 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 25861023105 (P-1 stage 1)
B1 = 10000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 745415543 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
B1 = 43000000, B2 = 4290000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 43000000 (P-1 stage 1)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=51.53 ~= 155-bit
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Last modified: 2023-10-02T12:12:48+00:00