is 2 14281 - 1
has 4300 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2023-05-17, 0.0% done, ETC 2023-07-04
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672,080.660879.1045%760000000030020805351537000565,244.213436.5185%567,324.874386.7352%
Target2440.000268.1818%500100000.00001.4090%0.000268.6301%
Difference+23+2,080.6607+10.9227%+7599999500+30020805351527000+565,244.2134+35.1095%+567,324.8741+18.1051%

Known prime factors (5 factors, 343.5 bits, 2.40546851% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1428113938257823.733488
23 × 61
-8618.652e-113.763e-95.627e-9
1428118056610791030.75063219
3 × 13 × 1621
2008-08-261316211.687e-83.477e-85.699e-8
142811480736043473449278712167.0055184286966856135
5 × 1151 × 1237 × 19751 × 36871
2008-08-2619751368712,178.17.148e-61.389e-5
14281996606590877133500347547094308131102.975348927452866442651196536340
22 × 3 × 5 × 43 × 18047 × 61073851 × 122702980109
2013-04-04610738511227029801091.127e+132.33024.3150
1428169417729582616044807140316725408068736119.06324304225748412591837805586697503
19 × 23 × 437366471 × 127161273017402306789
2019-04-304373664711271612730174023067899.421e+122.394e+94.472e+9

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 13938257
skipped known factor: 1805661079
skipped known factor: 148073604347344927871
--0.138--7.851%
2023-05-24JacobZGreatLakes760000000030020805351537000-
skipped known factor: 13938257
skipped known factor: 1805661079
skipped known factor: 148073604347344927871
skipped known factor: 9966065908771335003475470943081
--565,244--36.519%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??30.750106.84877e-90.0003.44578e-7


ECM factoring results:
Total ECM effort:24.814 GHz-days
Estimated T-Level:36.702
DigitsB1CompleteFacMiss
2011000494.7000.000%
2550000114.1920.000%
3025000019.6610.000%
3510000002.8265.925%
4030000000.34071.154%
45110000000.03696.511%
50440000000.00399.672%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001480.037
250000250000005510.685
50000050000000100.025
10000001000000001,3726.823
30000003000000002433.625
300000030000000020.030
300000042785925180013.59


Lucas-Lehmer results:
No L-L results for M14281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
13938257
1805661079
148073604347344927871
9966065908771335003475470943081
1347A7048D9489EFno
2017-09-21Oliver KruseManual testing
13938257
1805661079
148073604347344927871
9966065908771335003475470943081
1347A7048D9489EFno
2017-10-02kkmrkkblmbrbkManual testing
13938257
1805661079
148073604347344927871
9966065908771335003475470943081
1347A7048D9489__no
2017-12-07ATHManual testing
13938257
1805661079
148073604347344927871
9966065908771335003475470943081
1347A7048D9489__no
2019-05-01matzetonibobuba
13938257
1805661079
148073604347344927871
9966065908771335003475470943081
694177295826160448071403167254080687
147AB69B719AABB8no
2019-05-02Chang Chia-Tchehomura
13938257
1805661079
148073604347344927871
9966065908771335003475470943081
694177295826160448071403167254080687
147AB69B719AABB8no


P-1 factor-bounds graph:
B1 = 7600000000, B2 = 30020805351537000 (P-1 stage 2)
B1 = 7600000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=36.7 ~= 105-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-05-29T15:50:06+00:00