is 2 2190901 - 1
has 659527 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA05B4170265EBF9Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.562467.1642%500000150000000.12305.1795%13.685468.8649%1.7007%
PrimeNet2580.017562.0690%100001800000.00182.8609%0.019463.1541%1.0852%
GPU722620.280464.5161%110001600000.00181.5703%0.282265.0733%0.5572%
Difference+5+13.2820+2.6481%+489000+14840000+0.1212+3.6092%+13.4032+3.7916%+3.7916%

Known prime factors (1 factor, 69.7 bits, 0.00318113% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21909019558478379577528116092169.695218140353662204
22 × 101 × 213217 × 2532403
2009-12-11213217253240393.2840.03240.0414

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2016-04-02T16:17:32alpertronManual testing5000001500000012-
skipped known factor: 955847837957752811609
--0.123--5.179%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T16:35:58LordJuliusManual testing21260--0.070--
2009-01-02T16:16:00Sturle Sundegigi.ifi260261--0.070--
2009-01-08T18:21:00Sturle Sundegideon.ifi261262--0.140--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.647 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:1.647 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.69949.722%
25500000.06593.712%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.257
50000675000070.685
50000715000070.705


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersA05B4170265EBF9E0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T07:10:22Oliver KruseGTX-3
955847837957752811609
16CA2393A1546C__no
2017-11-19T15:24:33kkmrkkblmbrbkc4.xlarge
955847837957752811609
16CA2393A1546C__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-07-06T15:29:17+00:00