is 2 1777109 - 1
has 534964 decimal digits
takes 0.096 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
Actual26716.720468.6567%500000150000000.10155.0507%16.821870.2398%1.5831%
PrimeNet2570.010863.1579%80001400000.00122.8106%0.012064.1934%1.0355%
GPU722610.172965.5738%80001200000.00111.4556%0.174066.0749%0.5011%
Difference+6+16.5475+3.0829%+492000+14880000+0.1004+3.5951%+16.6479+4.1649%+4.1649%

Known prime factors (4 factors, 131.4 bits, 0.00739436% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
177710924879527824.5687
7
-171.260e-121.044e-71.601e-7
177710919619283371030.870552
23 × 3 × 23
2008-07-158239.011e-116.936e-71.281e-6
1777109241544655291134.4926796
22 × 1699
2008-07-15416991.894e-97.579e-61.360e-5
177710930588275409431341.476860619
3 × 286873
2008-07-1532868732.112e-70.00120.0023

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1777109488118490324565991755.438
17771096009516772993247831859.060
1777109473893303864347952732065.361
1777109761021823932349739612066.045
177710960012004305720994017912272.346
1777109738843443968635296538472375.968
177710911790241248612249227340758712889.930
17771091493070281448301725135430328573096.914
1777109183820754129906490133818709036931100.536
177710914495578893287373274972223036243933106.837
1777109360643146456173322153749847280252088635340131.406
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:32:43alpertronManual testing5000001500000012-
skipped known factor: 24879527
skipped known factor: 1961928337
skipped known factor: 24154465529
skipped known factor: 3058827540943
--0.101--5.051%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:46:00J FeitsmaManual testing??30.870109.61715e-120.2072.06166e-11
2008-07-15T07:46:00J FeitsmaManual testing??34.492116.06578e-100.2071.30034e-9
2008-07-15T07:46:00J FeitsmaManual testing??41.476134.63497e-80.2079.93609e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:17.280 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.280 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110009.6540.006%
25500000.89340.933%
302500000.05694.522%
3510000000.00399.737%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025117.28


Lucas-Lehmer results:
No L-L results for M1777109


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T13:10:50Oliver KruseGTX-0
24879527
1961928337
24154465529
3058827540943
5D5502DCB8BDBFF7no
2017-10-05T21:07:08Oliver KruseManual testing
24879527
1961928337
24154465529
3058827540943
5D5502DCB8BDBF__no
2017-11-10T23:28:52kkmrkkblmbrbkc4.xlarge
24879527
1961928337
24154465529
3058827540943
5D5502DCB8BDBF__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2020-10-02T07:44:14+00:00