is 2 23644867 - 1
has 7117815 decimal digits
takes 19.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L164E0DD44B9D902Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual274161.805366.2162%1647790494337095.00005.0514%166.805367.9228%
Target27010.105864.2857%160000225000001.61973.4877%11.725565.5313%
Difference+4+151.6995+1.9305%+1487790+26933709+3.3803+1.5637%+155.0798+2.3915%

Known prime factors (1 factor, 133.8 bits, 0.00056608% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
236448671960740996463276427886271206846897730880941133.849414622970064343442466026813948012
22 × 23 × 3673 × 5443 × 210019 × 297841 × 648917 × 5553593
2021-12-2464891755535936.330e+91.07751.5532

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-11-22ANONYMOUSv4_computers340000340000---0.400--1.064%
2021-12-24GdSManual testing1647790494337091241133.8495.00038.3610.005.051%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-10Net_Forcev4_computers21256--0.000--
2003-08-08ANONYMOUSv4_computers21260--0.006--
2003-10-31Will Edgingtonv4_computers21267--1.257--
2016-06-29VictordeHollanderManual testing267268--1.264--
2018-01-12VictordeHollanderManual testing268269--2.528--
2018-09-05ramgeisManual testing269270--5.057--
2021-08-05SRBaseManual testing270271--10.11--
2021-09-06TheJudgerManual testing271272--20.23--
2021-09-06TheJudgerManual testing272273--40.45--
2021-09-16TheJudgerManual testing273274--80.91--


ECM factoring results:
No ECM results for M23644867


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-12-13ANONYMOUSv4_computers164E0DD44B9D902C19.18
2010-12-06garochanakya164E0DD44B9D902C19.18


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-29DobriManual testing
19607409964632764278862712068468977308809
00648B649AFB2A__no


P-1 factor-bounds graph:
B1 = 1647790, B2 = 49433709 (P-1 stage 2)
B1 = 1647790 (P-1 stage 1)
B1 = 340000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
274
273
272
271
270
269
268
267
260
256
this exponent TF target: 70
TF double-checked to: 67.9
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Last modified: 2023-09-25T11:53:03+00:00