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Search: Posts Made By: Bobby Jacobs
Forum: Prime Gap Searches 2021-12-05, 22:11
Replies: 6
Views: 322
Posted By Bobby Jacobs
This is very cool!

This is very cool!
Forum: Prime Gap Searches 2021-11-23, 01:33
Replies: 6
Views: 933
Posted By Bobby Jacobs
I looked at A115401, the record gaps between...

I looked at A115401, the record gaps between primes 3 apart, and it turns out that the gap of 112 between 35617 and 35729 is very big. The sequence starts out smoothly. After the initial 5, every...
Forum: Prime Gap Searches 2021-11-14, 17:20
Replies: 6
Views: 933
Posted By Bobby Jacobs
When n=3, a big gap seems like 35617, 35671,...

When n=3, a big gap seems like 35617, 35671, 35677, 35729. There is a gap of 54 between 35617 and 35671, which is big for numbers of that size. After the gap of 6 between 35671 and 35677, there is...
Forum: Prime Gap Searches 2021-11-07, 13:34
Replies: 6
Views: 933
Posted By Bobby Jacobs
For each k, what are the first few gaps with...

For each k, what are the first few gaps with record CSG ratio? This is very interesting.
Forum: Prime Gap Searches 2021-10-23, 18:18
Replies: 48
Views: 4,902
Posted By Bobby Jacobs
I was reacting to you. Since this thread used to...

I was reacting to you. Since this thread used to be part of the "New Maximal Gaps" thread, I assumed that you were using this code to find maximal gaps greater than 264.
Forum: Prime Gap Searches 2021-10-14, 22:37
Replies: 48
Views: 4,902
Posted By Bobby Jacobs
This is very cool. Now, when do you believe you...

This is very cool. Now, when do you believe you will have the new code working to confirm the new maximal prime gaps?
Forum: Prime Gap Searches 2021-10-05, 20:18
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
What primes are these gaps between? I hope you...

What primes are these gaps between? I hope you can figure out the pseudoprimes just above 264 so you can prove that the 1552 and 1572 gaps are really maximal prime gaps.
Forum: Lounge 2021-09-27, 20:14
Replies: 1
Views: 268
Posted By Bobby Jacobs
Prime After Prime

Here is a song called "Prime After Prime". It is a way to recall the first 15 prime numbers. It is sung to the tune of "Time After Time" by Cyndi Lauper.

2, 3, 5, 7, 11, and 13.
Prime after...
Forum: Prime Gap Searches 2021-09-11, 17:51
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
I decided to take log2(p) of all of the primes in...

I decided to take log2(p) of all of the primes in the maximal prime gaps.

2, 3, 1, 1.0, 1.5849625007211563
3, 5, 2, 1.5849625007211563, 2.321928094887362
7, 11, 4, 2.807354922057604,...
Forum: Prime Gap Searches 2021-09-01, 23:25
Replies: 45
Views: 9,398
Posted By Bobby Jacobs
Here are the Jacobs values of the maximal prime...

Here are the Jacobs values of the maximal prime gaps, assuming that 1552 and 1572 are maximal prime gaps. Here are the values of (g-ln2(p1)+(2*ln(p1)*ln(ln(p1))))/ln(p1).

2, 3, 1,...
Forum: Prime Gap Searches 2021-08-23, 15:50
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
I thought you started at 264 and worked...

I thought you started at 264 and worked continuously from there. How are you not sure that these are maximal prime gaps? Did you skip any primes?
Forum: Prime Gap Searches 2021-08-11, 21:30
Replies: 7
Views: 5,090
Posted By Bobby Jacobs
We did not fill in any of the unknown first...

We did not fill in any of the unknown first occurrence gaps under 1550, but the next maximal prime gap is 1552.
Forum: Prime Gap Searches 2021-08-06, 19:51
Replies: 13
Views: 2,233
Posted By Bobby Jacobs
I find it interesting that the first prime gap of...

I find it interesting that the first prime gap of 12 is immediately followed by another gap of 12. The first gap of 12 is between 199 and 211, and the next prime after 211 is 223. Are there any...
Forum: Prime Gap Searches 2021-08-01, 17:45
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
Have the new gaps of 1552 and 1572 been confirmed...

Have the new gaps of 1552 and 1572 been confirmed as maximal prime gaps yet? How close are you to confirming them?
Forum: Prime Gap Searches 2021-07-22, 13:26
Replies: 13
Views: 2,233
Posted By Bobby Jacobs
There is also the repeating gap of 2 between the...

There is also the repeating gap of 2 between the primes 3, 5, 7.
Forum: Prime Gap Searches 2021-07-17, 11:14
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
Congratulations on finding another gap! It is...

Congratulations on finding another gap! It is amazing that there are so many maximal prime gaps so logarithmically close to the binary round number 264.
Forum: Prime Gap Searches 2021-07-13, 02:31
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
Why I am underwhelmed by the last few maximal prime gaps

The last few maximal prime gaps seemed smaller than the expected maximal prime gap. Now, I know why. In another post, I conjectured that the maximum prime gap between primes up to p is approximately...
Forum: Prime Gap Searches 2021-07-04, 11:51
Replies: 6
Views: 4,382
Posted By Bobby Jacobs
It looks like the next maximal prime gap is 1552....

It looks like the next maximal prime gap is 1552. That is a lot less than I expected.
Forum: Prime Gap Searches 2021-06-27, 16:04
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
Have you found any other first occurrence gaps...

Have you found any other first occurrence gaps besides this one?
Forum: Prime Gap Searches 2021-06-19, 20:39
Replies: 66
Views: 8,996
Posted By Bobby Jacobs
Congratulations! I was expecting the next maximal...

Congratulations! I was expecting the next maximal prime gap after 1550 to be at least 1600. I am surprised that this gap is only 2 greater than the last maximal gap. However, it is great that you...
Forum: Prime Gap Searches 2021-06-07, 19:49
Replies: 18
Views: 3,046
Posted By Bobby Jacobs
I recall the story of the grains of rice. The...

I recall the story of the grains of rice. The first square on the chessboard had 1 grain of rice, the second square had 2 grains, the third square had 4 grains, ..., the last square had...
Forum: Prime Gap Searches 2021-06-03, 17:23
Replies: 18
Views: 3,046
Posted By Bobby Jacobs
Actually, light travels about 18446 light-seconds...

Actually, light travels about 18446 light-seconds in 264 femtoseconds. That is less than a light-year.
Forum: Prime Gap Searches 2021-05-30, 18:17
Replies: 18
Views: 3,046
Posted By Bobby Jacobs
2^64 is not a big number!

We have searched all primes up to 264=18446744073709551616, but that is not a big number. If something had 264 atoms in it, then it would be like a small grain of sand. 264 is a small number when it...
Forum: Prime Gap Searches 2021-05-21, 13:06
Replies: 45
Views: 21,311
Posted By Bobby Jacobs
I like Plusle because it has a plus sign, and +...

I like Plusle because it has a plus sign, and + is used a lot in math. It is a math Pokemon. Plusle is also a bunny, and I like bunnies.
Forum: Prime Gap Searches 2021-05-12, 12:53
Replies: 45
Views: 21,311
Posted By Bobby Jacobs
Are CSG values greater than 2 possible?

Are CSG values greater than 2 possible?
Showing results 1 to 25 of 238

 
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