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Old 2005-05-26, 23:56   #111
jasong
 
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"Jason Goatcher"
Mar 2005

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I'm going to try n=106.
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Old 2005-05-27, 02:16   #112
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Quote:
Originally Posted by jasong
I'm going to try n=106.
Damn, I just NOW noticed reply #109.

I'm hoping I'm reading the text file correctly.

I'm reserving n=153.

Last fiddled with by jasong on 2005-05-27 at 02:20
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Old 2005-05-27, 03:35   #113
Dougy
 
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Lightbulb New largest...

My family went out for the day so I borrowed their computers, and discovered the octoproth:

8923480720155 187

k*2^n+1 has 70 digits.

Took three computers about 8 hours to sieve. Several seconds to PRP.
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Old 2005-05-27, 08:16   #114
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Post Update

Some newies:
1520564179575 106
462410580975 107

New most wanted: n=108. Searched upto k=10000000000000 so far.

Looking again at the 'weights' of the bases... the next big peak is at n=202. Looks like this would be a good base to search for a new largest octoproth. Searched upto k=240385459755 so far.
Attached Files
File Type: txt octoproth.txt (11.9 KB, 165 views)
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Old 2005-05-27, 19:25   #115
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none for 153, but I found a bunch I missed with 105, at least 10, not sure of the total.
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Old 2005-05-28, 18:36   #116
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Default Brilliant

Hats off to Dougy, Axn1 et al. for taking this challenge a lot further than I had thought possible.

It does appear as if there are an infinite number of octoproths, based on the exponential growth for n completed to date.

I love numbers, I love playing with infinity, it is like squirting petrol onto a bonfire from a squeezy bottle (dangerous not to be recommended, but I did that as a child, so infinity seems a tad tame really).

I love the sequence that starts 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2....

Has anyone listed this on Sloane's?

Regards

Robert
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Old 2005-05-29, 18:42   #117
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Anybody want to try this next?

It's another topic in this forum.
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Old 2005-12-26, 16:22   #118
smh
 
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With one pc available during the christmas weekend i decided to search a bit further for first occurrences for octoproths. I've extended the lower limmits for all N with no octoproth < 141. I'll sieve a bit more overnight.
Code:
108 15000000000000	10049232509295
109 5000000000000	2535547302735, 3896979101085
110 10000000000000
111 5000000000000	3412332425985
114 5000000000000	2810303334615
115 5000000000000	1767457796805, 2535344519085, 2748688738965, 2792226666585, 3427082197245, 3641677619775
116 10000000000000
117 10000000000000	8822382927435
118 7556065630365	6935662533645
119 5000000000000
121 5000000000000
122 1000000000000
123 1000000000000
124 1000000000000
125 1000000000000
126 1000000000000
127 1000000000000
128 1000000000000
129 1000000000000
131 500000000000
132 500000000000
133 500000000000
134 500000000000
136 500000000000
137 500000000000
138 5000000000000
139 500000000000
140 500000000000
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Old 2005-12-31, 15:56   #119
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I've used newpgen with the outputs from the octo_fast executable for n upto 49. Is this correct? What's the exact list of steps to generate octoproths using your tool?
Attached Files
File Type: txt test1&2results.txt (4.1 KB, 136 views)

Last fiddled with by nibble4bits on 2005-12-31 at 15:57
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Old 2005-12-31, 17:31   #120
smh
 
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Quote:
Originally Posted by nibble4bits
I've used newpgen with the outputs from the octo_fast executable for n upto 49. Is this correct? What's the exact list of steps to generate octoproths using your tool?
There's no need to use newpgen after using octo_fast. PRP testing is MUCH faster than the removal of composites using newpgen.

You can use (win)pfgw to test these numbers. Read the whole thread to learn how to create an ABC file.

I've found octoproths for all N's below 135 and a few more above that. 3 more remain to be found below n=141

Code:
108 15000000000000	10049232509295
109 5000000000000	2535547302735, 3896979101085
110 20000000000000	15987840863295
111 5000000000000	3412332425985
114 5000000000000	2810303334615
115 5000000000000	1767457796805, 2535344519085, 2748688738965, 2792226666585, 3427082197245, 3641677619775
116 50000000000000	27808601284905, 48874747118295
117 10000000000000	8822382927435
118 7556065630365	6935662533645
119 7624791125805	6947969463435
121 15000000000000	10860421305525, 11007840039945, 
122 7549086697425 	6770724125445
123 15000000000000  	14795373071115
124 20793700201365 	15857166234525, 17317349329155, 18814945517745 
125 30000000000000	21000707492835, 22110474424815, 26230498255815, 28051609645605
126 15000000000000 	10208767082535, 13988965055835
127 30000000000000	24755390572485
128 75000000000000   	70201312304025
129 5000000000000 	4473550622625
131 29670452060865   	29423194631775
132 10000000000000 	8247597994965
133 10000000000000 	8866435688265
134 15000000000000  	5925199200375, 9900362493945
135 50000000000000   
136 50000000000000 	43732992858225, 49020296591265  
137 20000000000000 	16328957487255  
138 45000000000000    
139 10000000000000 	2536458109485, 9744953313285
140 40000000000000
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Old 2005-12-31, 18:32   #121
fetofs
 
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Is there some way to resume the sieve using octo?

BTW, what are those octo_deep and octo_fast you're talking about? I only saw one executable, octo.exe!?
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