is 2 112319197 - 1
has 33811448 decimal digits
takes 492.956 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
Actual277272.510564.9351%488000126160007.31063.0377%279.821266.0002%
Target276136.254564.4737%7000002600000013.22684.0581%149.481365.9154%
Difference+1+136.2561+0.4614%-212000-13384000-5.9162-1.0204%+130.3399+0.0849%

Known prime factors (1 factor, 77.0 bits, 0.00006858% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1123191971542723206492942415973932477.030686758473928968
23 × 3 × 7 × 151 × 571 × 47411281		2022-04-2357147411281530.1616.44230.703

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-23tottenhoffi3-8100-014880001261600062477.0307.311985.914.623.038%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04Donna NobleHTPC-XP_V2263264--0.017--
2010-09-25sasaki3mate_ma1264265--0.033--
2012-05-31sasaki3MATE_J2265266--0.067--
2013-10-09ITSWUV266267--0.133--
2013-10-09ANONYMOUSManual testing267268--0.266--
2013-10-09ChrisS94Manual testing267268--0.266--
2013-10-10ChrisS94Manual testing268269--0.532--
2013-10-11ChrisS94Manual testing268269--0.532--
2013-10-11ChrisS94Manual testing269270--1.065--
2014-06-21Andreas_TruetschManual testing270271--2.129--
2019-01-05Niels_Mache_NextcloudManual testing271272--4.258--
2020-04-22SRBaseManual testing272273--8.516--
2020-09-30PhantomasManual testing273274--17.03--
2020-11-15RobertKazanManual testing274275--34.06--
2020-11-15RobertKazanManual testing275276--68.13--
2021-01-08arpcarManual testing276277--136.3--


ECM factoring results:
No ECM results for M112319197


Lucas-Lehmer results:
No L-L results for M112319197


PRP results:
No PRP results for M112319197


P-1 factor-bounds graph:
B1 = 488000, B2 = 12616000 (P-1 stage 2)
B1 = 488000 (P-1 stage 1)
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108
TF factor-bounds graph:
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276
275
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67.7
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Last modified: 2023-03-22T19:22:03+00:00