is 2 1154221 - 1
has 347456 decimal digits
takes 0.034 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC13D96F779F0B12Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26725.743768.6567%300000100000000.03564.1404%25.779369.9545%1.2977%
PrimeNet2560.008362.5000%5000800000.00042.2518%0.008763.3444%0.8444%
GPU722600.133165.0000%5000260000.00030.7715%0.133365.2700%0.2700%
Difference+7+25.6106+3.6567%+295000+9974000+0.0353+3.3689%+25.6460+4.6844%+4.6844%

Known prime factors (3 factors, 204.9 bits, 0.01775213% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
115422118371957841656947511960.672795859624875
3 × 53 × 7 × 31 × 9780149
2007-10-0912597801490.14210.02290.0428
11542215502924181999915717612168.899238382605324280
23 × 5 × 414833 × 14366179
2017-07-024148331436617972.7170.05050.0628
1154221474172346094582160532812375.32820540795311061840
24 × 5 × 7919 × 51683 × 627349
2014-12-285168362734912,7710.00360.0045

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1154221101099491077536994968567812730903752651140129.571
11542218711474352129230793897173392115659802803141136.00004
11542212609334469759509466003205394860878931099784144144.227
115422147938582873203993100916992327760061218542798459599
592826032591
62204.899
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-16T00:00:00Jocelyn Larouchev4_computers10001000---4.29764e-5--0.005%
2002-03-24T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.049%
2002-06-02T00:00:00ANONYMOUSv4_computers500001000000---0.004--1.744%
2014-12-28T12:45:00alpertronManual testing30000010000000122375.3280.0360.0680.0714.140%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-14T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-05-04T00:00:00ANONYMOUSv4_computers21258--0.033--
2022-04-12T17:43:27LordJuliusManual testing2126160.672190.1420.0690.289
2022-04-12T17:43:27LordJuliusManual testing261262--0.266--
2022-04-12T17:43:27LordJuliusManual testing262263--0.850--
2022-04-12T17:43:27LordJuliusManual testing263264--1.701--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.754 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.754 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002207.796
500005000000612.162
25000025000000447.796


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-14T00:00:00ANONYMOUSv4_computersC13D96F779F0B12A0.034


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T07:35:33Oliver KruseGTX-1
1837195784165694751
550292418199991571761
47417234609458216053281
E4B3F4E9AA23BBF7no
2017-09-30T15:11:55alpertronManual testing
1837195784165694751
550292418199991571761
47417234609458216053281
E4B3F4E9AA23BB__no
2017-10-17T07:11:06Oliver KruseThreadripper
1837195784165694751
550292418199991571761
47417234609458216053281
E4B3F4E9AA23BB__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
264
263
262
261
258
257
250
260
270
280
290
2100
Last modified: 2022-04-12T17:43:27+00:00