is 2 8265821 - 1
has 2488261 decimal digits
takes 2.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26914.443466.6667%250000102000000.29994.2502%14.743368.0834%
Target2687.211066.1765%5000011000000.04062.1823%7.251666.9146%
Difference+1+7.2324+0.4902%+200000+9100000+0.2593+2.0679%+7.4917+1.1688%

Known prime factors (7 factors, 300.4 bits, 0.00363426% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
826582166126569825.9794
22
-445.413e-131.514e-63.082e-6
8265821903288918891136.3945464
23 × 683
2008-09-0886831.310e-91.695e-52.626e-5
82658211378738942811237.0058340
22 × 3 × 5 × 139
2008-09-0851393.999e-94.657e-65.373e-6
8265821120280094281511443.451727575
3 × 52 × 89 × 109
2008-09-08891092.103e-73.411e-56.858e-5
8265821215068561915431444.2901300951
283 × 4597
2008-09-0828345974.511e-70.00020.0002
82658211214034193554011546.7877343700
22 × 3 × 52 × 7 × 13 × 269
2008-09-08252691.753e-61.450e-51.926e-5
82658211040573385272549833032166.4966294434547231
33 × 59 × 101 × 2659 × 14713
2019-06-172659147132.11190.00130.0020

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-26Seth_TrManual testing25000010200000-
skipped known factor: 66126569
skipped known factor: 90328891889
skipped known factor: 137873894281
skipped known factor: 12028009428151
skipped known factor: 21506856191543
skipped known factor: 121403419355401
skipped known factor: 104057338527254983303
--0.300--4.250%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??43.451146.85809e-811.573.67584e-7
2008-09-08Will EdgingtonManual testing??46.787156.18609e-711.573.31566e-6
2008-09-08Will EdgingtonManual testing??37.005121.78356e-911.579.55966e-9
2008-09-08Will EdgingtonManual testing??44.290141.67601e-711.578.98320e-7
2008-09-08Will EdgingtonManual testing??36.394112.02329e-1011.571.08446e-9
2022-11-28LordJuliusManual testing2126443.451142.10345e-711.571.12742e-6
2022-11-28LordJuliusManual testing2126446.787151.75272e-611.579.39437e-6
2022-11-28LordJuliusManual testing2126437.005123.99863e-911.572.14321e-8
2022-11-28LordJuliusManual testing2126444.290144.51130e-711.572.41800e-6
2022-11-28LordJuliusManual testing2126462.373190.19211.381.010
2022-11-28LordJuliusManual testing2126425.97985.41257e-1311.572.90107e-12
2022-11-28LordJuliusManual testing2126436.394111.30986e-911.577.02070e-9
2022-11-28LordJuliusManual testing2126462.983190.17511.380.921
2022-11-28LordJuliusManual testing264265--0.452--
2022-11-28LordJuliusManual testing265266--0.904--
2019-06-18Seth_TrManual testing26626766.496210.3257.9731.201
2022-11-28LordJuliusManual testing26626766.496210.3257.9731.201
2019-12-17Seth_TrManual testing267268--3.616--
2022-11-28LordJuliusManual testing267268--3.616--
2022-11-28LordJuliusManual testing268269--7.232--


ECM factoring results:
No ECM results for M8265821


Lucas-Lehmer results:
No L-L results for M8265821


PRP results:
dateuseridcompidcofactorsres64PRP
2018-09-29ANONYMOUS
66126569
90328891889
137873894281
12028009428151
21506856191543
121403419355401
ED7F73994D2AB7__no
2019-06-18Niels_Mache_NextcloudSuperDry-X
66126569
90328891889
137873894281
12028009428151
21506856191543
121403419355401
104057338527254983303
ED7F73994D2AB7E3no


P-1 factor-bounds graph:
B1 = 250000, B2 = 10200000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
2
this exponent TF target: 68
TF double-checked to: 67.8
250
260
270
Last modified: 2023-04-26T21:34:10+00:00