Dodecaproth Reservation Thread

Greenbank · 2006-01-16, 11:37

How it works.

Find an n value where no Dodecaproth has been found, and check the posts below to ensure that noone else has reserved it. Post in this thread to say you are reserving that n. If a previous kmax is provided then start your search from that point. If not you must start from 1. Ensure you check the entire range from kmin to kmax, don't just stop if the program finds one dodecaproth.

When you have finished with your range make another post here with the following information:

n_value (kmax) forum_name dodecaproths_found

Post results here or you can email the file to octoproth@greenbank.org

This thread will be maintained and updated by the moderators.

There should be enough space here to list both the results and status of ranges. If it grows too large I'll split it as before.

Complete ranges checked up to, and including, n=55.
First n free: n=63

k,n values:-

7946515823715 44
9604223498415 44
10872870991605 44 Robert [Done]
45 None [Done]
46 None [Done]
45960089776965 47
69283546229205 47 Robert [Done]
48 None [Done]
19000157002995 49
374180855930805 49
502414540060965 49
555428994253665 49 Robert [Done]
717083008036395 50 Greenbank [Done] - Previously missed!
145174433549145 51
246834311745945 51
868049887559295 51 Kosmaj [Done]
2808528662035845 52 R.Gerbicz [Done]
243175720207035 53
2045619551693025 53
2104470659030355 53
2468433344406645 53
4167419818747185 53
5622222735873975 53 R.Gerbicz [Done]
5647906352943855 54
14596462934859645 54
9675588697854555 54
2400502941005715 54
3506258867210715 54
5204333779495305 54
1101248981187285 54
10105988764050795 54 Greenbank [Done]
19644738069851895 55 Greenbank [Done]
4356015966090075 56 Kosmaj [5E15]
87653084113035 57 Kosmaj [2E15]
17871561203266155 58 Kosmaj
42210084958591935 58 Kosmaj
45307176385075605 58 Kosmaj
46259463855164175 58 Kosmaj
50067984112666905 58 Kosmaj
52035604613787795 58 Kosmaj [7E16]
74362823389729875 58 Greenbank [8E16]
2348074892952495 59
3380369146304535 59
5973326670402945 59
7365626017878345 59
9593141900086605 59
8537255710868115 59
4451592815485725 59
6857355849333465 59
8516722688845665 59
4168021941682305 59
13693913473485315 59
12042323140434825 59
16643614185878295 59
18112802603245665 59
16252412670268845 59 robert44444uk [20000T] RESERVED
6584335653605325 60
51593298019338075 60
87084056712267615 60 Kosmaj [2E17] FOUND
7764528700980975 61 Greenbank [1E16] FOUND
99828673281855 62
286846836764775 62
1692654062704395 62
3574476316006155 62
6553886937433395 62 Kosmaj [9E15]
388632315499893465 63
125767781644900395 63
254659030703432355 63
452712136329581205 63
345015428043514305 63
94550773355550435 63
218188773358674195 63
210649460251372065 63 Greenbank [2E17] FOUND
22619379006114345 64 [50000T] Greenbank
150841400071381635 65
187746339227937105 65
291458875432298805 65
146213957588533065 65
115946800921892325 65
192055957021304145 65 [300000T] Greenbank FOUND
229350894172785 66 tcadigan [1E15] FOUND
67 [3E15]
68 [3E15]
69 [3E15]
14494401979227555 70 Kosmaj [2E16] FOUND
20014126443725085 71 Kosmaj [2.7E16] FOUND
86637546327325245 72 Greenbank [1E17] FOUND
37990374090023355 76 Kosmaj [6E16] FOUND
55670925034625355 79 Greenbank [7E16] FOUND
80 Kosmaj [1E15]
81 Kosmaj [1E15]
82 Kosmaj [1E15]
372589899664857105 83 Kosmaj [4.7E17] FOUND
84 Kosmaj [1E15]
85 Kosmaj [1E15]
86 Kosmaj [1E15]
9340589605191285 87 Greenbank [10000T] FOUND
88 Greenbank [1152921T] LIMIT OF DODECA_30
89 Greenbank [50000T]
303435075929440455 90 Greenbank [304000T] FOUND
57419840812969635 91 Kosmaj RESERVED

--------------------------------------------------------------------------------

Any errors/corrections please post in this thread.

Do not use this thread for discussions. All discussions will be moved.

robert44444uk · 2006-01-16, 19:27

Taking 59 from 2E15. Will let you know max range checked in a couple of days

Regards

Robert Smith

Kosmaj · 2006-01-17, 09:21

n=58 checked to 7E16, 6 DodecaProths found (see the other thread). Stopped.

Reserving n=60and n=76.

Greenbank · 2006-01-17, 18:06

n=63 is proving tricky. I've gone to 20000T and nothing. Extending the search to a mighty 500000T (yes, that's 5E17) which should be done by tomorrow afternoon.

n=79 searched to 13000T with nothing, extending to 50000T (5E16).

Update. Got n=63 at a shade under 100000T (1E17).

n=79 has nothing to 20000T, going up to 70000T (7E16) which will take about 13 hours.

robert44444uk · 2006-01-17, 23:24

n=59, kmin=4000T, kmax=10000T, version=2.5, here T=10^12
Starting the sieve...
Using the first 10 primes to reduce the size of the sieve array
5973326670402945 59
7365626017878345 59
9593141900086605 59
8537255710868115 59
4451592815485725 59
6857355849333465 59
8516722688845665 59
4168021941682305 59
The sieving is complete.
Number of Prp tests=4673896
Time=29259 sec.
n=59, kmin=10000T, kmax=20000T, version=2.5, here T=10^12
Starting the sieve...
Using the first 11 primes to reduce the size of the sieve array
n=59, kmin=10000T, kmax=20000T, version=2.5, here T=10^12
Starting the sieve...
Using the first 11 primes to reduce the size of the sieve array
13693913473485315 59
12042323140434825 59
16643614185878295 59
18112802603245665 59
16252412670268845 59
The sieving is complete.
Number of Prp tests=7794070
Time=48222 sec.

Max spiders legs (I think) = 2

Will continue with this for one more day

Regards

Robert Smith

robert44444uk · 2006-01-17, 23:25

n=59, kmin=2000T, kmax=4000T, version=2.5, here T=10^12
Starting the sieve...
Using the first 10 primes to reduce the size of the sieve array
2348074892952495 59
3380369146304535 59
The sieving is complete.
Number of Prp tests=1561211
Time=10067 sec.

Kosmaj · 2006-01-19, 07:20

n=76 completed to 6E16, one DodecaProth found as reported.

Taking n=83, and still working on n=71.

BTW, while testing the latest version of dodeca3 I checked all n
80 <= n <= 90
to 1E15. Of course I found no DodecaProths.

Greenbank · 2006-01-19, 11:25

Woohoo, finally got n=79 at under 6E16

#../dodeca30 79 20000T 70000T
You can also find the k n values in results_dodeca.txt file ( These are 3-probable primes )
n=79, kmin=20000T, kmax=70000T, version=3.0, here T=10^12
Starting the sieve...
Using the first 11 primes to reduce the size of the sieve array
55670925034625355 79
The sieving is complete.
Number of Prp tests=443629230
Time=49701 sec.

Going back to Octoproths for a while.

Kosmaj · 2006-01-20, 11:20

20014126443725085 71 [2.7E16]

372589899664857105 83 [4.7E17]

Taking a short break, no new reservations.

Kosmaj · 2006-01-22, 09:02

Reserving n=91.

Kosmaj · 2006-01-23, 12:03

57419840812969635 91

[In Progress]

2006-01-16, 11:37	#1
Greenbank Jul 2005 386₁₀ Posts	Dodecaproth Reservation Thread How it works. Find an n value where no Dodecaproth has been found, and check the posts below to ensure that noone else has reserved it. Post in this thread to say you are reserving that n. If a previous kmax is provided then start your search from that point. If not you must start from 1. Ensure you check the entire range from kmin to kmax, don't just stop if the program finds one dodecaproth. When you have finished with your range make another post here with the following information: n_value (kmax) forum_name dodecaproths_found Post results here or you can email the file to octoproth@greenbank.org This thread will be maintained and updated by the moderators. There should be enough space here to list both the results and status of ranges. If it grows too large I'll split it as before. Complete ranges checked up to, and including, n=55. First n free: n=63 k,n values:- 7946515823715 44 9604223498415 44 10872870991605 44 Robert [Done] 45 None [Done] 46 None [Done] 45960089776965 47 69283546229205 47 Robert [Done] 48 None [Done] 19000157002995 49 374180855930805 49 502414540060965 49 555428994253665 49 Robert [Done] 717083008036395 50 Greenbank [Done] - Previously missed! 145174433549145 51 246834311745945 51 868049887559295 51 Kosmaj [Done] 2808528662035845 52 R.Gerbicz [Done] 243175720207035 53 2045619551693025 53 2104470659030355 53 2468433344406645 53 4167419818747185 53 5622222735873975 53 R.Gerbicz [Done] 5647906352943855 54 14596462934859645 54 9675588697854555 54 2400502941005715 54 3506258867210715 54 5204333779495305 54 1101248981187285 54 10105988764050795 54 Greenbank [Done] 19644738069851895 55 Greenbank [Done] 4356015966090075 56 Kosmaj [5E15] 87653084113035 57 Kosmaj [2E15] 17871561203266155 58 Kosmaj 42210084958591935 58 Kosmaj 45307176385075605 58 Kosmaj 46259463855164175 58 Kosmaj 50067984112666905 58 Kosmaj 52035604613787795 58 Kosmaj [7E16] 74362823389729875 58 Greenbank [8E16] 2348074892952495 59 3380369146304535 59 5973326670402945 59 7365626017878345 59 9593141900086605 59 8537255710868115 59 4451592815485725 59 6857355849333465 59 8516722688845665 59 4168021941682305 59 13693913473485315 59 12042323140434825 59 16643614185878295 59 18112802603245665 59 16252412670268845 59 robert44444uk [20000T] RESERVED 6584335653605325 60 51593298019338075 60 87084056712267615 60 Kosmaj [2E17] FOUND 7764528700980975 61 Greenbank [1E16] FOUND 99828673281855 62 286846836764775 62 1692654062704395 62 3574476316006155 62 6553886937433395 62 Kosmaj [9E15] 388632315499893465 63 125767781644900395 63 254659030703432355 63 452712136329581205 63 345015428043514305 63 94550773355550435 63 218188773358674195 63 210649460251372065 63 Greenbank [2E17] FOUND 22619379006114345 64 [50000T] Greenbank 150841400071381635 65 187746339227937105 65 291458875432298805 65 146213957588533065 65 115946800921892325 65 192055957021304145 65 [300000T] Greenbank FOUND 229350894172785 66 tcadigan [1E15] FOUND 67 [3E15] 68 [3E15] 69 [3E15] 14494401979227555 70 Kosmaj [2E16] FOUND 20014126443725085 71 Kosmaj [2.7E16] FOUND 86637546327325245 72 Greenbank [1E17] FOUND 37990374090023355 76 Kosmaj [6E16] FOUND 55670925034625355 79 Greenbank [7E16] FOUND 80 Kosmaj [1E15] 81 Kosmaj [1E15] 82 Kosmaj [1E15] 372589899664857105 83 Kosmaj [4.7E17] FOUND 84 Kosmaj [1E15] 85 Kosmaj [1E15] 86 Kosmaj [1E15] 9340589605191285 87 Greenbank [10000T] FOUND 88 Greenbank [1152921T] LIMIT OF DODECA_30 89 Greenbank [50000T] 303435075929440455 90 Greenbank [304000T] FOUND 57419840812969635 91 Kosmaj RESERVED -------------------------------------------------------------------------------- Any errors/corrections please post in this thread. Do not use this thread for discussions. All discussions will be moved. Last fiddled with by Greenbank on 2006-01-25 at 15:10

2006-01-16, 19:27	#2
robert44444uk Jun 2003 Suva, Fiji 2×1,021 Posts	59 Taking 59 from 2E15. Will let you know max range checked in a couple of days Regards Robert Smith

2006-01-17, 18:06	#4
Greenbank Jul 2005 110000010₂ Posts	n=63 is proving tricky. I've gone to 20000T and nothing. Extending the search to a mighty 500000T (yes, that's 5E17) which should be done by tomorrow afternoon. n=79 searched to 13000T with nothing, extending to 50000T (5E16). Update. Got n=63 at a shade under 100000T (1E17). n=79 has nothing to 20000T, going up to 70000T (7E16) which will take about 13 hours. Last fiddled with by Greenbank on 2006-01-18 at 19:18

2006-01-17, 23:24	#5
robert44444uk Jun 2003 Suva, Fiji 2×1,021 Posts	Some at 59 n=59, kmin=4000T, kmax=10000T, version=2.5, here T=10^12 Starting the sieve... Using the first 10 primes to reduce the size of the sieve array 5973326670402945 59 7365626017878345 59 9593141900086605 59 8537255710868115 59 4451592815485725 59 6857355849333465 59 8516722688845665 59 4168021941682305 59 The sieving is complete. Number of Prp tests=4673896 Time=29259 sec. n=59, kmin=10000T, kmax=20000T, version=2.5, here T=10^12 Starting the sieve... Using the first 11 primes to reduce the size of the sieve array n=59, kmin=10000T, kmax=20000T, version=2.5, here T=10^12 Starting the sieve... Using the first 11 primes to reduce the size of the sieve array 13693913473485315 59 12042323140434825 59 16643614185878295 59 18112802603245665 59 16252412670268845 59 The sieving is complete. Number of Prp tests=7794070 Time=48222 sec. Max spiders legs (I think) = 2 Will continue with this for one more day Regards Robert Smith

2006-01-17, 23:25	#6
robert44444uk Jun 2003 Suva, Fiji 7FA₁₆ Posts	And two tiddlers n=59, kmin=2000T, kmax=4000T, version=2.5, here T=10^12 Starting the sieve... Using the first 10 primes to reduce the size of the sieve array 2348074892952495 59 3380369146304535 59 The sieving is complete. Number of Prp tests=1561211 Time=10067 sec.

2006-01-17, 09:21	#3
Kosmaj Nov 2003 2·1,811 Posts	n=58 checked to 7E16, 6 DodecaProths found (see the other thread). Stopped. Reserving n=60and n=76.

2006-01-19, 07:20	#7
Kosmaj Nov 2003 2×1,811 Posts	n=76 completed to 6E16, one DodecaProth found as reported. Taking n=83, and still working on n=71. BTW, while testing the latest version of dodeca3 I checked all n 80 <= n <= 90 to 1E15. Of course I found no DodecaProths.

2006-01-19, 11:25	#8
Greenbank Jul 2005 602₈ Posts	Woohoo, finally got n=79 at under 6E16 #../dodeca30 79 20000T 70000T You can also find the k n values in results_dodeca.txt file ( These are 3-probable primes ) n=79, kmin=20000T, kmax=70000T, version=3.0, here T=10^12 Starting the sieve... Using the first 11 primes to reduce the size of the sieve array 55670925034625355 79 The sieving is complete. Number of Prp tests=443629230 Time=49701 sec. Going back to Octoproths for a while.

2006-01-20, 11:20	#9
Kosmaj Nov 2003 2×1,811 Posts	k=71 and k=83 20014126443725085 71 [2.7E16] 372589899664857105 83 [4.7E17] Taking a short break, no new reservations.

2006-01-22, 09:02	#10
Kosmaj Nov 2003 2·1,811 Posts	Reserving n=91.

2006-01-23, 12:03	#11
Kosmaj Nov 2003 2·1,811 Posts	n=91 57419840812969635 91 [In Progress]

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