Dodecaproth Reservation Thread - Page 2

Greenbank · 2006-01-23, 13:52

9340589605191285 87 Greenbank [10000T] FOUND

Going back and filling in the gaps. n=64 reserved.

Kosmaj · 2006-01-23, 14:52

It will be nice if you can announce your reservations in advance, like all the others. Thanks!

Greenbank · 2006-01-23, 15:44

I normally just edit the status at the top directly.

I'll post my reservations as normal from now on...

Greenbank · 2006-01-24, 10:49

$ ../dodeca30 64 10000T 50000T
You can also find the k n values in results_dodeca.txt file ( These are 3-probable primes )
n=64, kmin=10000T, kmax=50000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 11 primes to reduce the size of the sieve array
22619379006114345 64

The sieving is complete.
Number of Prp tests=255929550
Time=18615 sec.

Reserving n=65.

Greenbank · 2006-01-24, 14:42

n=88 checked to 1152921T and none found!

n=88, kmin=0T, kmax=1000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 10 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=1043746
Time=246 sec.
n=88, kmin=1000T, kmax=10000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 11 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=9398311
Time=1609 sec.
n=88, kmin=10000T, kmax=100000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 12 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=94011886
Time=15724 sec.
n=88, kmin=100000T, kmax=200000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 12 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=104471197
Time=9868 sec.
n=88, kmin=200000T, kmax=300000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 12 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=104469691
Time=9865 sec.
n=88, kmin=300000T, kmax=1000000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 12 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=731066801
Time=53935 sec.
n=88, kmin=1000000T, kmax=1152921T, version=3.0, here T=10^12
Starting the sieve...
Using the first 12 primes to reduce the size of the sieve array
The sieving is complete.
Number of Prp tests=159716548
Time=13929 sec.

That is the highest T below 2^60 (the limit of dodeca30) at the moment.

Anyway, onwards with n=65.

Greenbank · 2006-01-24, 14:54

n=90 done. Set it off for 300000T to 400000T and it quickly popped up with one just below 304000T so I restarted it on this smaller range.

$ ../dodeca30 90 300000T 304000T
You can also find the k n values in results_dodeca.txt file ( These are 3-probable primes )
n=90, kmin=300000T, kmax=304000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 11 primes to reduce the size of the sieve array
303435075929440455 90

The sieving is complete.
Number of Prp tests=7551605
Time=571 sec.

robert44444uk · 2006-01-24, 20:32

Tested 59 now up to 92000T, plenty of dodecas, but none with more than two legs, right or left

Full results:

2348074892952495
3380369146304535
5973326670402945
7365626017878345
9593141900086605
8537255710868115
4451592815485725
6857355849333465
8516722688845665
4168021941682305
13693913473485315
12042323140434825
16643614185878295
18112802603245665
16252412670268845
22709096095218225
28675183364772945
22423230830763525
23104149461636565
32614588836975075
31243999534789335
35081125383540915
30631531836890985
40222045009560015
39240625652716635
36479043591784395
39286064347410195
37781376117259005
39698961007434435
38961624723430185
44275148497658295
62919657201157995
52790410633630215
47368063063108935
56285618616036495
54149263209133785
44427527346266925
72016659343442415
70516911831145395
71403188883346005
74017737464478045
68738001105089715
71634721872187635
70477710075953565
68750708881966335
71359200965274915
81779177935969605
77110143894153825
76078270000252065
88319693393101485
82149068190537495
82145306864351955
90024743512089225

Will take this one further

Regards

Robert Smith

R. Gerbicz · 2006-01-24, 22:37

Greenbank, please reserve for me n=60. I'll complete the full range for this n.

Nice results Robert, n=59 is crowded by dodecaproths, if my prediction is correct then there are about f(59)=282 dodecaproths for this n value! Just to compare that seeing my prediction: there is only about 73 dodecaproths for all n<59 altogether!

Kosmaj · 2006-01-24, 22:41

n=91 completed to 7.5E17.

Reserving n=103.

R. Gerbicz · 2006-01-24, 22:50

Quote:

Originally Posted by Kosmaj

n=91 completed to 7.5E17.

Reserving n=103.

OK, in the new dodeca_4_0 program I've increased n limit from 99 to 127, after seeing a dodecaproth for n=91. Just to compare if n is about 128 then it is more than 50 times harder to find a dodecaproth if n is about 90

grobie · 2006-01-25, 01:04

question, I keep reading taking n's to full range. What is the full range

2006-01-23, 14:52	#13
Kosmaj Nov 2003 2×1,811 Posts	Greenbank It will be nice if you can announce your reservations in advance, like all the others. Thanks!

2006-01-24, 20:32	#18
robert44444uk Jun 2003 Suva, Fiji 2·1,021 Posts	59 Tested 59 now up to 92000T, plenty of dodecas, but none with more than two legs, right or left Full results: 2348074892952495 3380369146304535 5973326670402945 7365626017878345 9593141900086605 8537255710868115 4451592815485725 6857355849333465 8516722688845665 4168021941682305 13693913473485315 12042323140434825 16643614185878295 18112802603245665 16252412670268845 22709096095218225 28675183364772945 22423230830763525 23104149461636565 32614588836975075 31243999534789335 35081125383540915 30631531836890985 40222045009560015 39240625652716635 36479043591784395 39286064347410195 37781376117259005 39698961007434435 38961624723430185 44275148497658295 62919657201157995 52790410633630215 47368063063108935 56285618616036495 54149263209133785 44427527346266925 72016659343442415 70516911831145395 71403188883346005 74017737464478045 68738001105089715 71634721872187635 70477710075953565 68750708881966335 71359200965274915 81779177935969605 77110143894153825 76078270000252065 88319693393101485 82149068190537495 82145306864351955 90024743512089225 Will take this one further Regards Robert Smith

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2006-01-23, 13:52	#12
Greenbank Jul 2005 2×193 Posts	9340589605191285 87 Greenbank [10000T] FOUND Going back and filling in the gaps. n=64 reserved.

2006-01-23, 15:44	#14
Greenbank Jul 2005 2×193 Posts	I normally just edit the status at the top directly. I'll post my reservations as normal from now on...

2006-01-24, 10:49	#15
Greenbank Jul 2005 2·193 Posts	$ ../dodeca30 64 10000T 50000T You can also find the k n values in results_dodeca.txt file ( These are 3-probable primes ) n=64, kmin=10000T, kmax=50000T, version=3.0, here T=10^12 Starting the sieve... Using the first 11 primes to reduce the size of the sieve array 22619379006114345 64 The sieving is complete. Number of Prp tests=255929550 Time=18615 sec. Reserving n=65.

2006-01-24, 14:42	#16
Greenbank Jul 2005 110000010₂ Posts	n=88 checked to 1152921T and none found! n=88, kmin=0T, kmax=1000T, version=3.0, here T=10^12 Starting the sieve... Using the first 10 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=1043746 Time=246 sec. n=88, kmin=1000T, kmax=10000T, version=3.0, here T=10^12 Starting the sieve... Using the first 11 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=9398311 Time=1609 sec. n=88, kmin=10000T, kmax=100000T, version=3.0, here T=10^12 Starting the sieve... Using the first 12 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=94011886 Time=15724 sec. n=88, kmin=100000T, kmax=200000T, version=3.0, here T=10^12 Starting the sieve... Using the first 12 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=104471197 Time=9868 sec. n=88, kmin=200000T, kmax=300000T, version=3.0, here T=10^12 Starting the sieve... Using the first 12 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=104469691 Time=9865 sec. n=88, kmin=300000T, kmax=1000000T, version=3.0, here T=10^12 Starting the sieve... Using the first 12 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=731066801 Time=53935 sec. n=88, kmin=1000000T, kmax=1152921T, version=3.0, here T=10^12 Starting the sieve... Using the first 12 primes to reduce the size of the sieve array The sieving is complete. Number of Prp tests=159716548 Time=13929 sec. That is the highest T below 2^60 (the limit of dodeca30) at the moment. Anyway, onwards with n=65.

2006-01-24, 14:54	#17
Greenbank Jul 2005 2·193 Posts	n=90 done. Set it off for 300000T to 400000T and it quickly popped up with one just below 304000T so I restarted it on this smaller range. $ ../dodeca30 90 300000T 304000T You can also find the k n values in results_dodeca.txt file ( These are 3-probable primes ) n=90, kmin=300000T, kmax=304000T, version=3.0, here T=10^12 Starting the sieve... Using the first 11 primes to reduce the size of the sieve array 303435075929440455 90 The sieving is complete. Number of Prp tests=7551605 Time=571 sec.

2006-01-24, 22:37	#19
R. Gerbicz "Robert Gerbicz" Oct 2005 Hungary 17·97 Posts	Greenbank, please reserve for me n=60. I'll complete the full range for this n. Nice results Robert, n=59 is crowded by dodecaproths, if my prediction is correct then there are about f(59)=282 dodecaproths for this n value! Just to compare that seeing my prediction: there is only about 73 dodecaproths for all n<59 altogether!

2006-01-24, 22:41	#20
Kosmaj Nov 2003 111000100110₂ Posts	n=91 completed to 7.5E17. Reserving n=103.

2006-01-25, 01:04	#22
grobie Sep 2005 Raleigh, North Carolina 521₈ Posts	question, I keep reading taking n's to full range. What is the full range