is 2 12536653 - 1
has 3773909 decimal digits
takes 4.827 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1645D41F6A1B7934double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27276.283066.6667%300000012055090740368.239111.9524%444.522170.6508%
Target2684.754464.7059%90000110000000.38213.0917%5.136565.7971%
Difference+4+71.5286+1.9608%+2910000+12044090740+367.8570+8.8607%+439.3856+4.8537%

Known prime factors (1 factor, 136.3 bits, 0.00108711% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1253665310633113874498205775492089087079132307216742136.2884240810475690044932842956204929311
72 × 53 × 32779 × 78653 × 453931 × 836917 × 1667222987		2023-02-2283691716672229871.531e+1051.15094.710

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-18ANONYMOUSv4_computers190000190000---0.106--0.913%
2015-10-11ThaManual testing300000600000012---0.341--3.030%
2023-02-22Naegi Makoto5950X30000001205509074042136.288368.29.65736.511.952%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22ANONYMOUSv4_computers21254--0.000--
2000-03-22ANONYMOUSv4_computers21255--0.000--
2000-03-22ANONYMOUSv4_computers21256--0.001--
2000-04-05ANONYMOUSv4_computers21264--0.284--
2013-06-19lycornManual testing264265--0.298--
2014-03-28NesowaManual testing265266--0.596--
2015-03-23ThaManual testing266267--1.192--
2017-12-16ramgeisManual testing267268--2.384--
2017-12-16ramgeisManual testing268269--4.769--
2021-08-07SRBaseManual testing269270--9.54--
2021-08-28SRBaseManual testing270271--19.07--
2021-10-22-Anonymous-Manual testing271272--38.15--


ECM factoring results:
Total ECM effort:1.171 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-10ANONYMOUSv4_computers1645D41F6A1B79344.827
2001-09-16ANONYMOUSv4_computers1645D41F6A1B79344.827
2001-12-22ANONYMOUSv4_computers1645D41F6A1B79344.827


PRP results:
dateuseridcompidcofactorsres64PRP
2023-02-24Naegi Makoto4590
106331138744982057754920890870791323072167
37BE65DF42DBCF1Cno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 12055090740 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 190000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
256
255
254
this exponent TF target: 68
TF double-checked to: 67.9
ECM T-Level=0.38 ~= -15-bit
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2120
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2140
Last modified: 2023-09-25T11:53:03+00:00