is 2 9973 - 1
has 3003 decimal digits
takes 0.000 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
Actual2672,979.436279.1045%100000000001002624354131401,040.293628.4639%4,019.729885.0522%
Target2440.000268.1818%500100000.00001.2628%0.000268.5836%
Difference+23+2,979.4360+10.9227%+9999999500+100262435403140+1,040.2936+27.2011%+4,019.7296+16.4685%

Known prime factors (5 factors, 145.0 bits, 1.45365401% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9973299191618.19115
3 × 5
-353.513e-125.910e-101.161e-9
99737419913722.823372
22 × 3 × 31
-4316.054e-111.040e-91.548e-9
997310591327823.336531
32 × 59
-9591.249e-102.229e-93.482e-9
997319367567824.207971
971
-19712.712e-101.024e-81.887e-8
9973961220260731803531756.4164819112908512
25 × 3 × 7 × 413 × 67 × 1553
-68921689211.10251.310e-52.667e-5

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--0.019--5.663%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--0.076--7.620%
2022-08-05Yizhe Huang10000000001000000000-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--0.190--9.024%
2022-08-05Yizhe Huang100000000001453757224920-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--16.86--21.783%
2022-08-05Yizhe Huang100000000001000000000044144.9731.9012.61514e-63.80212.802%
2022-08-05Yizhe Huang1000000000010436363077140-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--109.9--24.992%
2022-08-05Yizhe Huang10000000000100262435413140-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--1,040--28.464%
2022-11-24Kevin_9611F1000000518293926150-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--5.369--11.124%
2022-11-24Kevin_9611F100000001468968801300-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--15.22--15.707%
2022-11-24Kevin_9611F10000000010221144823890-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--105.9--21.020%
2022-11-24Kevin_9611F10000000001000000000-
skipped known factor: 299191
skipped known factor: 7419913
skipped known factor: 10591327
skipped known factor: 19367567
skipped known factor: 96122026073180353
--0.190--9.024%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-04ANONYMOUSv4_computers??88.5572714,965,6182.80860e-632,145,391


ECM factoring results:
Total ECM effort:82.241 GHz-days
Estimated T-Level:38.919
DigitsB1CompleteFacMiss
2011000632.6300.000%
2550000160.8220.000%
3025000034.4910.000%
3510000005.7290.325%
4030000000.78445.670%
45110000000.09291.199%
50440000000.01099.049%


ECM Summary

B1B2factorcurvesGHz-days
50000500000050.001
2500002500000050.003
100000010000000040.011
30000003000000007926.500
300000045924879161,40064.97
100000001000000000150.410
44000000223505872608510.35


Lucas-Lehmer results:
No L-L results for M9973


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PCA8AD5778F98CC6__?
2017-09-21Oliver KruseManual testingA8AD5778F98CC6__?
2017-10-02kkmrkkblmbrbkManual testing
299191
7419913
10591327
19367567
96122026073180353
A8AD5778F98CC6__no
2017-12-07ATHManual testing
299191
7419913
10591327
19367567
96122026073180353
A8AD5778F98CC6__no
2020-04-17Oliver KruseManual testing
299191
7419913
10591327
19367567
96122026073180353
36EA61AE9EBCDE__no


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 100262435413140 (P-1 stage 2)
B1 = 10000000000, B2 = 10436363077140 (P-1 stage 2)
B1 = 100000000, B2 = 10221144823890 (P-1 stage 2)
B1 = 10000000000, B2 = 1453757224920 (P-1 stage 2)
B1 = 10000000, B2 = 1468968801300 (P-1 stage 2)
B1 = 1000000, B2 = 518293926150 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000 (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
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=38.92 ~= 113-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-04-26T21:34:10+00:00