Database for k-b-b's:

[CRGreathouse]

Originally Posted by 3.14159

Mac Fainter.

I dislike Macs and certainly wouldn't use one for my main system.

Originally Posted by 3.14159

Why should I? Simply because they can be expressed in a different manner does not mean I should exclude them.

I guess it shouldn't have surprised me that "Mr. Redundancy" 3.14159 would include them in two places.

[3.14159]

Originally Posted by CRGreathouse

I dislike Macs and certainly wouldn't use one for my main system.

Couldn't agree more.

Originally Posted by CRGreathouse

I guess it shouldn't have surprised me that "Mr. Redundancy" 3.14159 would include them in two places.

243²⁴³ = 3¹²¹⁵. So what?

You might as well be arguing that all the only bases that should be used are prime numbers.

Well, I'll continue working on the file. I'm up to b = 120.

Also: @Will(Mod): Pardon the first few posts. I was a tad too excited.

Making files for 76-250; 251-500; 501-750; 751-1000; etc.

Note to CRG: If you want to keep going with the computing of the first k for whick k * b^b is prime:

Warning: b = 1000 will be 3000 digits in length. Also, isn't there a Proth program for Linux, anyway?

[3.14159]

I have completed the file for bases 60 to 250, k-ranges 1 to 10000.

[3.14159]

Bases 251 to 500 will be completed later on.

[CRGreathouse]

Originally Posted by 3.14159

Warning: b = 1000 will be 3000 digits in length.

No big deal, I'm over 2000 digits now.

[kar_bon]

Now this cries for an own HP with tables to show and download!

But first of all:

A new thread with only 'Database of k-b-b's"?

Nobody will ever figure out, what numbers are colleted here until he read the whole 1100+ posts of the other thread or find the right post!

So the first post should contain the type of all these numbers with an example and the boundaries for k and n or restrictions for them!

Perhaps any mod cn do this, please!

[3.14159]

Originally Posted by Karsten

A new thread with only 'Database of k-b-b's"?

Well, I tried..

Originally Posted by Karsten

Nobody will ever figure out, what numbers are colleted here until he read the whole 1100+ posts of the other thread or find the right post!

So the first post should contain the type of all these numbers with an example and the boundaries for k and n or restrictions for them!

NOTE:

The primes being collected here are of the form k * b^b + 1, where b is a positive integer ≥ 60. k is in between 1 and 10000. I have collected these up to where b = 250. I am now working on b = 251 to 500.

So: Karsten; Better?

Originally Posted by Karsten

Perhaps any mod cn do this, please!

Already fixed here within the first page of the thread.

[3.14159]

I am currently up to b = 344. Which means I have found every k * b^b + 1 prime for k = 1 to 10k for under 870 digits.

Update: Every prime under 900* digits.

What I hope to do is continue until the 10000-digit range.

Also: @CRG: If you'd like, you can search for the - 1 analogues.

[rogue]

If you need to sieve number of the form k*b^n+/-1, then MultiSieve can handle that form. It isn't exceptionally fast, but it could save you a lot of time. AFAIK, NewPGen cannot sieve that form.

[3.14159]

Originally Posted by Rogue

If you need to sieve number of the form k*b^n+/-1, then MultiSieve can handle that form. It isn't exceptionally fast, but it could save you a lot of time. AFAIK, NewPGen cannot sieve that form.

But I'm not looking for Cullen/Woodalls. I'm looking for k-b-b primes. I'm listing all the small primes for k * b^b + 1, where k is in between 1 and 10000.

I'm up to b = 405, and I have made a file for b = 60 to 250, and I'm making one for b = 251 to 500.

I'm recording for small k-values.

[science_man_88]

Originally Posted by 3.14159

But I'm not looking for Cullen/Woodalls. I'm looking for k-b-b primes. I'm listing all the small primes for k * b^b + 1, where k is in between 1 and 10000.

I'm up to b = 405, and I have made a file for b = 60 to 250, and I'm making one for b = 251 to 500.

I'm recording for small k-values.

Multisieve seems to work if you use the equality n=b then they are the same form.