Where the next prime will be?

Citrix · 2004-06-29, 00:26

Does any one have any thoughts on where the next prime will be? How would the distribution of primes for this project look like.

Citrix

Citrix · 2004-06-29, 18:54

Prime around 1.1 M will be at the 43 rd rank!
Prime around 1.3 M will be at the 22 nd rank!
Prime around 1.5 M will be at the 15 th rank!
Prime around 2.0 M will be at the 13 th rank!
Prime around 2.5 M will be at the 10 th rank!
Prime around 3.0 M will be at the 6 th rank!

I would like to get the 43 rd rank atleast.

Citrix

Citrix · 2004-10-27, 01:08

Does anyone have any theories on when the next prime will be? It just has been so long since our last prime.

Thanks,
Citrix

ltd · 2004-10-27, 07:30

I expect the next prime in your range from 1245000 to 1275000 but that is only my personal feeling.

Lars

Mystwalker · 2004-10-27, 09:26

Some months ago, I noticed a(n incidential) correlation between PSP and SoB concerning the n ranges and primes to go (like the 'last but 16'th prime had similar n values and so on).
Unfortunately, 1013803 has long passed, even 1157446.

Maybe a comparison of Proth Weigths between PSP k's and SoB k's would give us some basic likelihoods?

Citrix · 2004-10-27, 18:37

Quote:

Originally Posted by ltd

I expect the next prime in your range from 1245000 to 1275000 but that is only my personal feeling.

Lars

Im working on the range. About 25 % done, no primes yet.

Citrix

Citrix · 2004-10-27, 18:43

We have 3 k's above weight 250. I am not sure when we will find a prime for them. We should have found a prime for them long ago. (I personally don't believe much in weights in terms of their correlation with the probabilty of finding primes.)

May be we should work on these heavy k's first? Any suggestions?

Citrix

Footmaster · 2004-10-27, 21:57

258317 will fall next in the next 80,000n

Thats my guess.

Mystwalker · 2004-12-21, 00:33

Only 127 tests are left in the "Between 1.1 and 1.3 Million" range - I doubt we will find a prime there.
In late H2/2005, we'll start testing n > 1.5M, so my guess could be fulfilled then - although I hope that I'm wrong in the sense that we find a prime earlier.

Citrix · 2004-12-21, 06:59

My ranges should be done by the end of the year, so we will know by then.

I am busy buying a laptop right now, but I can't decide if I should go with a intel p4, p4 M or Pentium M. Does anyone have any experience with these, or are there any good resources available for me to decide between the 3?

Thanks,
Citrix

Mystwalker · 2004-12-22, 19:35

I own a Pentium M - equipped notebook and already had some desktop P4 notebooks in my hands for some time.

The decision depends on what you're going to do with the notebook. For purely stationary use with maybe some rearrangements from time to time (a.k.a. desktop replacement), a p4 or p4m is ok and offers the most computing power.
When you want a long runtime on battery, the Pentium M is the way to go. My IBM R50p can run ~ 6 hours on battery power - without DC clients, of course. Still it is far from slow.

Other considerations:
- Pentium 4(m) CPUs produce more heat, which results in more noise, a hotter casing and thus a decresed battery lifetime
- Pentium M notebooks tend to be thinner, as less cooling is required.
- Power consumption could make a difference in the electricity bill - though it's still beyond the consumption of a desktop PC

View Poll Results: In what range will be find our next prime?
Under 1.1 Million	1	5.26%
Between 1.1 and 1.3 Million	6	31.58%
Between 1.3 and 1.5 Million	5	26.32%
Between 1.5 and 2.0 Million	4	21.05%
Above 2.0 Million	3	15.79%
Voters: 19. You may not vote on this poll

2004-06-29, 00:26	#1
Citrix Jun 2003 2×7×113 Posts	Where the next prime will be? Does any one have any thoughts on where the next prime will be? How would the distribution of primes for this project look like. Citrix Last fiddled with by Citrix on 2004-12-23 at 07:43

2004-06-29, 18:54	#2
Citrix Jun 2003 2·7·113 Posts	Ranks for new primes. Prime around 1.1 M will be at the 43 rd rank! Prime around 1.3 M will be at the 22 nd rank! Prime around 1.5 M will be at the 15 th rank! Prime around 2.0 M will be at the 13 th rank! Prime around 2.5 M will be at the 10 th rank! Prime around 3.0 M will be at the 6 th rank! I would like to get the 43 rd rank atleast. Citrix

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2004-10-27, 01:08	#3
Citrix Jun 2003 11000101110₂ Posts	Does anyone have any theories on when the next prime will be? It just has been so long since our last prime. Thanks, Citrix

2004-10-27, 07:30	#4
ltd Apr 2003 772₁₀ Posts	I expect the next prime in your range from 1245000 to 1275000 but that is only my personal feeling. Lars

2004-10-27, 09:26	#5
Mystwalker Jul 2004 Potsdam, Germany 1100111111₂ Posts	Some months ago, I noticed a(n incidential) correlation between PSP and SoB concerning the n ranges and primes to go (like the 'last but 16'th prime had similar n values and so on). Unfortunately, 1013803 has long passed, even 1157446. Maybe a comparison of Proth Weigths between PSP k's and SoB k's would give us some basic likelihoods?

2004-10-27, 18:43	#7
Citrix Jun 2003 1582₁₀ Posts	We have 3 k's above weight 250. I am not sure when we will find a prime for them. We should have found a prime for them long ago. (I personally don't believe much in weights in terms of their correlation with the probabilty of finding primes.) May be we should work on these heavy k's first? Any suggestions? Citrix

2004-10-27, 21:57	#8
Footmaster Mar 2004 3·13 Posts	258317 will fall next in the next 80,000n Thats my guess.

2004-12-21, 00:33	#9
Mystwalker Jul 2004 Potsdam, Germany 3×277 Posts	Only 127 tests are left in the "Between 1.1 and 1.3 Million" range - I doubt we will find a prime there. In late H2/2005, we'll start testing n > 1.5M, so my guess could be fulfilled then - although I hope that I'm wrong in the sense that we find a prime earlier.

2004-12-21, 06:59	#10
Citrix Jun 2003 2×7×113 Posts	My ranges should be done by the end of the year, so we will know by then. I am busy buying a laptop right now, but I can't decide if I should go with a intel p4, p4 M or Pentium M. Does anyone have any experience with these, or are there any good resources available for me to decide between the 3? Thanks, Citrix

2004-12-22, 19:35	#11
Mystwalker Jul 2004 Potsdam, Germany 3×277 Posts	I own a Pentium M - equipped notebook and already had some desktop P4 notebooks in my hands for some time. The decision depends on what you're going to do with the notebook. For purely stationary use with maybe some rearrangements from time to time (a.k.a. desktop replacement), a p4 or p4m is ok and offers the most computing power. When you want a long runtime on battery, the Pentium M is the way to go. My IBM R50p can run ~ 6 hours on battery power - without DC clients, of course. Still it is far from slow. Other considerations: - Pentium 4(m) CPUs produce more heat, which results in more noise, a hotter casing and thus a decresed battery lifetime - Pentium M notebooks tend to be thinner, as less cooling is required. - Power consumption could make a difference in the electricity bill - though it's still beyond the consumption of a desktop PC