No primes k=290499495 for n=175K-200K; continuing
 

I've now tested k=290499495 from n=175K to 200K. There were no additional primes found. Still standing at 109 primes total.


Gary

Primes for k=3545685 from n=175K-200K; continuing
 

I've now tested k=3545685 to n=200K. There were 2 more primes found for a total of 73 primes so far:

3545685*2^187884-1
3545685*2^199114-1


Gary

Primes for k=775784295 for n=150K-175K; continuing
 

I've now tested k=775784295 from n=150K to 175K. I confirmed one previously found prime and found one new prime for a total of 105 primes so far. They are shown below.

This now makes 46 primes for the range of n=10K and 175K, which is most likely a record number of primes in that range.

If anyone has found a k that has more than 40 primes between n=10K and 100K or more than 46 primes between n=10K and 175K, I would be interested in hearing about it. In looking at the various pages for k*2^n-1, I could find nothing that came close.


775784295*2^153530-1*
775784295*2^160828-1

* - Previously found and now confirmed


Gary

Primes for k=968911515 for n=175K-200K; continuing
 

I've now tested k=968911515 from n=175K to 200K. There were 2 more primes found for a total of 88 primes so far:

968911515*2^179045-1
968911515*2^194702-1


Gary

Primes for k=569415 to n=50K; one missing on site
 

I've tested k=569415 up to n=50K. I found 61 primes that are attached below. The summary site already lists the primes up to n=1K. I show an asterisk '*' by the ones already listed.

...IMPORTANT NOTE...
In confirming the primes already on the site with my test, I noticed that n=73 is missing. I guess you could call it a 1-prime gap. :lol:

I am not reserving this k right now.


Gary

Primes for k=111546435 to n=110K to fill gap
 

I've tested primoral k=111546435 to n=110K to fill a gap on the 15K summary site. Attached are the 89 primes that I found for a total of 106 primes up through previous testing of n=328183. The 3 primes that were already posted on the site have an asterisk (*) after them.

On the summary site, it shows 63 primes up to n=10K that aren't listed, no primes listed below n=47500, followed by primes at n=47500, 86464, 109726, etc. with no gaps shown after n=47500. This is incorrect in 2 ways:

1. There are only 62 primes up to n=10K. I triple checked my low ranges of n to make sure that nothing was accidentily 'sieved out' and looked for unusual residues on the lresults file from LLR at the higher ranges of n to confirm the count.
2. There is a gap between n=47500 and n=86464 that isn't shown. I found 6 primes between these two.

I will keep this one reserved for the time being and possibly test it starting at the previous highest prime found of n=328183.

k=111546435
 

i'm happy to see someone thinks like me :-) filling gaps and complete low missing n for some k's.
the info for this k is from this post: [url]http://www.mersenneforum.org/showpost.php?p=51331&postcount=9[/url].
there're listed some k with more than 60 primes upto n=10k without mention them from lsoule. the other information i collectd from different threads/post and so you can see, this info is sometimes incorrect. if i had more pc-power i would fill more gaps too. i thought/wished everyone would search their old files and post missing primes not listed in the summary to complete the list more.
thanks for this filling and error-deleting, gary. need more!
karsten

Thinking on prime search, gaps, and error checking
 

Thanks Kar_bon.

Prime search and gaps:
I am definitely in favor of 'getting our house in order', i.e. making sure that we have all of the primes listed completely and correctly for each k that we research, before going after top-5000 primes. I don't believe in starting at n=350K or 500K or whatever just to make the top-5000 list (unless there are no gaps for a particular k up to that point). I have about 10 different heavy-weight k's reserved right now, some that I started from scratch and others that had been lightly tested and have some gaps. I'm up to anwhere between n=150K and 200K on most of them. About half of them I will unreserve in between n=200K and 250K. The other half, I will probably take right on out to the top-5000 list, which will probably need n > 333K to be on at that point. But everyone will know that I have found ALL primes for the k that I've searched up to the point at which I found a top-5000 prime.

Error checking:
I have several things that I've found on the summary site that need to be corrected in addition to the few things here-and-there that I've already brought up in some of these posts. I will post those in a different thread that you will quickly see.


Gary

[quote=kar_bon;108749] if i had more pc-power i would fill more gaps too. [/quote]

I can help you after finishing the ranges I reserved here.

Carlo

[QUOTE=gd_barnes;108719]I noticed that n=73 is missing. I guess you could call it a 1-prime gap.[/QUOTE]You mean k=73? It seems that it has been already tested till n=10^6 :wink:

No, that's n=73 that is missing for k=569415
 

Uh, no, I mean n=73. The post was about k=569415 as it says in the title. I'm saying that n=73 is missing for k=569415.