is 2 111859607 - 1
has 33673098 decimal digits
takes 490.939 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual277273.630264.9351%4500000450000028.63752.7430%302.267765.8969%
Target276136.814364.4737%7000002600000013.22684.0560%150.041165.9146%
Difference+1+136.8159+0.4614%+3800000-21500000+15.4107-1.3131%+152.2266-0.0178%

Known prime factors (1 factor, 86.6 bits, 0.00007742% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1118596071170392922073717661997878892786.597523152616687504392
23 × 3 × 4507 × 38261 × 126407629		2021-10-0238261126407629202,32544.05981.859

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-09-28Paul UnderwoodManual testing450000045000002786.59728.64981.957.282.743%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04G-ManTBox263264--0.018--
2010-09-29ANONYMOUSCF8D2F50F264265--0.033--
2012-06-04Richard172.26.180.86265266--0.067--
2013-10-12Cow_tippingManual testing266267--0.134--
2013-11-16SMoffatManual testing267268--0.267--
2014-11-08RichD0Manual testing268269--0.534--
2014-11-09RichD0Manual testing269270--1.069--
2014-11-12RichD0Manual testing270271--2.138--
2019-01-09Niels_Mache_NextcloudManual testing271272--4.275--
2020-04-23SRBaseManual testing272273--8.551--
2020-06-14M8909387GPU72_TF273274--17.10--
2020-11-22Joe S.Manual testing274275--34.20--
2020-12-07arpcarManual testing275276--68.41--
2021-01-14arpcarManual testing276277--136.8--


ECM factoring results:
No ECM results for M111859607


Lucas-Lehmer results:
No L-L results for M111859607


PRP results:
No PRP results for M111859607


P-1 factor-bounds graph:
B1 = 4500000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
277
276
275
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67.7
250
260
270
280
290
Last modified: 2023-03-22T19:22:03+00:00