is 2 1786271 - 1
has 537722 decimal digits
takes 0.097 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
Actual26716.634668.6567%500000150000000.10155.0538%16.736170.2408%1.5840%
PrimeNet2570.010763.1579%80001400000.00122.8134%0.011964.1944%1.0365%
GPU722610.172065.5738%80001300000.00121.4927%0.173166.0877%0.5139%
Difference+6+16.4626+3.0829%+492000+14870000+0.1003+3.5611%+16.5630+4.1531%+4.1531%

Known prime factors (4 factors, 191.3 bits, 0.01070794% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1786271117893887926.81333
3 × 11
-3115.041e-122.703e-74.803e-7
1786271102353328311133.2532865
3 × 5 × 191
2008-07-1551911.038e-91.190e-61.562e-6
1786271196935701146270631754.1295512481061
3 × 233 × 1499 × 5261
2014-11-05149952610.00230.00010.0002
17862711595689151807241647791932477.07944665371374423076
22 × 32 × 343627 × 3610614883
2020-06-01343627361061488320,16215.50028.901

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
178627112066831721853040971960.066
178627123217515297204200124638812580.941
17862712015702447538428112450053532787.381
17862711881219965502887926064755949319132103.891
1786271163324095635632034211952797858538334110.331
17862712376389965757188720468099040097711135114.194
1786271314248161922657008303309711077693710015940131.207
178627119254912475244396214964097200068356325372142137.144
178627137047937291667428076668456803796270469225282803348158.020
17862713216434528808375359839105491754642821887934802012950164.460
178627137919796888223284932645584102600129256901731221187
62051423
58191.273
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:33:57alpertronManual testing5000001500000012-
skipped known factor: 117893887
skipped known factor: 10235332831
skipped known factor: 19693570114627063
--0.101--5.054%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:46:00J FeitsmaManual testing??33.253113.97273e-100.2088.51124e-10
2014-11-05T12:06:00TJAOIManual testing254255*54.129170.0010.2050.002


ECM factoring results:

Old Calculation Method

Total ECM effort:17.290 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.290 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021014.47
500005000000412.824


Lucas-Lehmer results:
No L-L results for M1786271


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T01:28:05alpertronManual testing
117893887
10235332831
19693570114627063
A14C9BC2B8A99B__no
2017-10-19T17:47:25Oliver KruseThreadripper
117893887
10235332831
19693570114627063
A14C9BC2B8A99B__no
2020-06-02T09:11:53Klaus Nordmannno1
117893887
10235332831
19693570114627063
159568915180724164779193
FD4957BF49F28491no
2020-06-02T12:55:56oodairacom1
117893887
10235332831
19693570114627063
159568915180724164779193
FD4957BF49F28491no


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
109
1010
TF factor-bounds graph:
267
255
2
220
230
240
250
260
270
280
290
2100
Last modified: 2020-11-06T10:16:11+00:00