is 2 23720617 - 1
has 7140618 decimal digits
takes 19.240 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4AEB9B2F58EE9DE2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27380.640665.7534%400000200000001.72643.9512%82.367067.1066%1.3532%
PrimeNet2660.622662.1212%11000036000000.35304.8418%0.975663.9552%1.8340%
GPU7227010.073564.2857%17000050000000.50943.6015%10.583065.5720%1.2863%
Difference+3+70.5670+1.4677%+230000+15000000+1.2169+0.3497%+71.7840+1.5346%+1.5346%

Known prime factors (1 factor, 82.2 bits, 0.00034642% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2372061754558440998466019989327532582.174115002154030112328
23 × 3 × 7 × 443 × 41143 × 37557529
2022-03-21411433755752980,3312.45244.4949

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-04-09T00:00:00ANONYMOUSv4_computers340000340000---0.400--1.207%
2022-03-21T23:54:59GdSManual testing40000020000000122582.1741.72638.483.4533.951%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-10T00:00:00Net_Forcev4_computers21256--0.000--
2003-06-09T00:00:00ANONYMOUSv4_computers21258--0.002--
2003-12-02T00:00:00ANONYMOUSv4_computers21267--1.253--
2016-07-07T04:45:52VictordeHollanderManual testing267268--1.260--
2018-01-12T15:54:41VictordeHollanderManual testing268269--2.520--
2018-09-11T10:18:00ramgeisManual testing269270--5.041--
2021-01-07T16:11:21-Anonymous-Manual testing270271--10.08--
2021-01-07T16:11:21-Anonymous-Manual testing271272--20.16--
2021-01-09T00:36:41-Anonymous-Manual testing272273--40.32--


ECM factoring results:
No ECM results for M23720617


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-08-06T00:00:00ANONYMOUSv4_computers4AEB9B2F58EE9DE219.24
2010-09-19T03:00:00George WoltmanOpteron4AEB9B2F58EE9DE219.24


PRP results:
No PRP results for M23720617


P-1 factor-bounds graph:
B1 = 400000, B2 = 20000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 340000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
273
272
271
270
269
268
267
258
256
250
260
270
280
290
2100
Last modified: 2022-03-21T23:54:59+00:00