is 2 3321107 - 1
has 999753 decimal digits
takes 0.349 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
Actual26817.947367.6471 %33211074458531004.177510.0624 %22.124870.9025 %
Target2641.071765.6250 %1700015000000.01491.7242 %1.086666.2177 %
Difference+4+16.8756+2.0221 %+3304107+444353100+4.1627+8.3381%+21.0382+4.6848 %

Known prime factors (3 factors, 142.3 bits, 0.00428587% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
332110799433943591033.2111497
3 × 499
-34994.562e-104.572e-67.740e-6
33211073348273655271238.28550409
33 × 1867
2008-09-072718672.107e-81.938e-52.888e-5
332110721169134849386862014472270.842318706004494689
3 × 72 × 653 × 977 × 3398327
2019-10-069773398327133.810.02830.0527

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-10-07JossManual testing6642266422001222270.8420.0654.734%
2020-07-30JossManual testing33211033211076
skipped known factor: 9943394359
skipped known factor: 334827365527
---5.173%
2020-09-15JossManual testing33211066422146
skipped known factor: 9943394359
skipped known factor: 334827365527
skipped known factor: 2116913484938686201447
---5.968%
2021-07-31JossManual testing33211073321107
skipped known factor: 9943394359
skipped known factor: 334827365527
--0.4345.642%
2021-12-20JossManual testing3321107116701200
skipped known factor: 9943394359
skipped known factor: 334827365527
skipped known factor: 2116913484938686201447
--1.44711.355%
2022-01-19JossManual testing3321107339025050
skipped known factor: 9943394359
skipped known factor: 334827365527
skipped known factor: 2116913484938686201447
--3.29113.008%
2022-10-06JossManual testing3321107445853100
skipped known factor: 9943394359
skipped known factor: 334827365527
skipped known factor: 2116913484938686201447
--4.17813.428%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
38.285
12
2021-08-09JossManual testing267268


ECM factoring results:
Total ECM effort:0.376 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.376


Lucas-Lehmer results:
No L-L results for M3321107


PRP results:
dateuseridcompidcofactorsres64
2017-11-04Oliver KruseGTX-3
9943394359
334827365527
D4FE54B8DB8D3B4A
2017-12-14kkmrkkblmbrbkc4.xlarge
9943394359
334827365527
D4FE54B8DB8D3B4A
2019-10-28mnd9f4
9943394359
334827365527
2116913484938686201447
D4FE54B8DB8D3B4A


CERT results:
No CERT results for M3321107


P-1 factor-bounds graph:
B1 = 3321107, B2 = 445853100 (P-1 stage 2)
B1 = 3321107, B2 = 339025050 (P-1 stage 2)
B1 = 3321107, B2 = 116701200 (P-1 stage 2)
B1 = 3321107 (P-1 stage 1)
B1 = 332110, B2 = 6642214 (P-1 stage 2)
B1 = 332110, B2 = 3321107 (P-1 stage 2)
B1 = 66422, B2 = 6642200 (P-1 stage 2)
B1 = 332110 (P-1 stage 1)
B1 = 66422 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00