is 2 104224103 - 1
has 31374582 decimal digits
takes 414.978 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual276146.837464.4737%7360007360004.24921.5161%151.086565.0123%0.5386%
PrimeNet2729.175762.5000%450000220000009.37655.3912%18.552264.5217%2.0217%
GPU72276146.837464.4737%6500002400000011.09733.9235%157.934765.8675%1.3939%
Difference---+86000-23264000-6.8481-2.4074%-6.8481-0.8552%-0.8552%

Known prime factors (1 factor, 88.6 bits, 0.00008497% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1042241034572228878486737476621297132788.5632193460412169120552
23 × 32 × 47 × 137 × 1693 × 6199 × 450817
2021-06-016199450817681,1260.17560.2648

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-01T23:57:08Jwb52zClay7360007360002788.5634.249830.08.4981.516%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-18T00:42:00OS1corner263264--0.019--
2010-08-26T12:47:00Mr-Plonklinux-i7-920264265--0.036--
2012-05-09T07:16:00omiXorpLLB16-T5500-09265266--0.072--
2013-08-31T14:49:00ANONYMOUS266267--0.143--
2014-05-10T13:57:00ANONYMOUSManual testing267268--0.287--
2014-05-12T19:20:00SatanManual testing268269--0.574--
2014-05-12T19:20:00SatanManual testing269270--1.147--
2014-05-12T19:20:00SatanManual testing270271--2.294--
2015-01-18T21:30:00workerthreadManual testing271272--4.589--
2020-03-11T13:17:15Johan ViljoenManual testing272273--9.177--
2020-04-01T05:38:20SRBaseManual testing273274--18.35--
2021-02-04T18:10:04TheJudgerManual testing274275--36.71--
2021-02-04T18:10:04TheJudgerManual testing275276--73.42--


ECM factoring results:
No ECM results for M104224103


Lucas-Lehmer results:
No L-L results for M104224103


PRP results:
No PRP results for M104224103


P-1 factor-bounds graph:
B1 = 736000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
TF factor-bounds graph:
276
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274
273
272
271
270
269
268
267
266
265
264
250
260
270
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2100
Last modified: 2021-06-01T23:57:08+00:00