is 2 1853627 - 1
has 557998 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8669A464BDC4D606double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.030168.6567%500000150000000.10155.0764%16.131670.2478%1.5911%
PrimeNet2570.010463.1579%90001600000.00143.0242%0.011764.2721%1.1142%
GPU722610.165765.5738%90001500000.00131.6316%0.167066.1355%0.5617%
Difference+6+15.8644+3.0829%+491000+14850000+0.1002+3.4448%+15.9646+4.1124%+4.1124%

Known prime factors (2 factors, 141.4 bits, 0.00762585% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1853627481326765133351433512065.38412983377053025
52 × 79 × 6573861799
2013-09-177965738617995.476028.17452.621
1853627740635231765373590550572375.97119978000745710264
23 × 2531 × 986665386493
2021-07-1625319866653864936,490.64,228.67,897.8

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1853627356487560249417279220064083286664299647600743141.355
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:45:00Carsten Kossendeyleela1000001700000---0.015--2.505%
2016-03-16T12:36:06alpertronManual testing5000001500000012---0.101--5.076%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.021--
2010-04-13T12:48:00Architects Cubeda3_bu2260261--0.083--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.861--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.506 GHz-days
Estimated T-Level:24.304
DigitsB1CurvesCompleteFacMiss
2011000241 / 1002.4108.873%
2550000241 / 2800.86142.221%

New Calculation Method

Total ECM effort:18.506 GHz-days
Estimated T-Level:24.304
DigitsB1CompleteFacMiss
20110008.2370.026%
25500000.74647.416%
302500000.04695.488%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000332.283
500006600000423.276
50000660000016612.95


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00Ethan O'Connorv4_computers8669A464BDC4D6060.101


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T07:01:27Oliver KruseGTX-1
48132676513335143351
5B524F7652E3C4__no
2017-11-07T02:01:39kkmrkkblmbrbkc4.xlarge
48132676513335143351
5B524F7652E3C4__no
2021-07-16T12:50:30GURA LOVE
48132676513335143351
74063523176537359055057
2EE3975F27F838DEno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
263
261
258
250
260
270
280
290
2100
Last modified: 2021-07-16T12:50:30+00:00