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Search: Posts Made By: Bobby Jacobs
Forum: Lounge 2022-07-05, 18:04
Replies: 12
Views: 1,336
Posted By Bobby Jacobs
That would skip 3 and 5. You actually want 2, 3,...

That would skip 3 and 5. You actually want 2, 3, 5, and the next 12 odd numbers that are not divisible by 3 or 5.
Forum: Prime Gap Searches 2022-06-26, 18:57
Replies: 141
Views: 38,537
Posted By Bobby Jacobs
Two new maximal prime gaps are now known above...

Two new maximal prime gaps are now known above 264. They have sizes 1552 and 1572. They are very great.
Forum: Prime Gap Searches 2022-06-12, 18:13
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
I believe that 223 will eventually beat 127. It...

I believe that 223 will eventually beat 127. It starts out behind because there are two consecutive gaps of 12 before 223. However, 223 will eventually catch up with 127 because 127 has a gap of 14....
Forum: Lounge 2022-06-03, 17:55
Replies: 12
Views: 1,336
Posted By Bobby Jacobs
Is anybody going to comment about the song?

Is anybody going to comment about the song?
Forum: Prime Gap Searches 2022-05-22, 15:15
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
Very good! It seems like the popularity of a...

Very good! It seems like the popularity of a prime as the start of a maximal gap is based upon the gaps before p. However, there are weird exceptions like 29 and 37. The 2 gaps before 29 are (4, 6)...
Forum: Prime Gap Searches 2022-05-11, 16:28
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
Yes. I have a program, but it is slow for primes...

Yes. I have a program, but it is slow for primes above 47. We basically want admissible k-tuples where the total of the gaps is less than or equal to the total of the k gaps before p. Let pm be the...
Forum: Prime Gap Searches 2022-05-07, 14:01
Replies: 69
Views: 14,161
Posted By Bobby Jacobs
Well, Craig has not been on this site in a while....

Well, Craig has not been on this site in a while. Does anybody else know how to prove the new maximal prime gaps?
Forum: Prime Gap Searches 2022-04-29, 23:22
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
Forbidden prime gap combinations

Let an n-prime gap be the gap between a prime p and the prime n primes after p. Then, 2 and 3 are always the start of a maximal n-gap for all n. 5 is the start of a maximal n-gap if and only if the...
Forum: Prime Gap Searches 2022-04-25, 19:08
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
What is the pattern with the sequence of primes...

What is the pattern with the sequence of primes with record low numbers of occurrences? It seems like the sequence is 2, 5, 11, 29, 37, 59, 97, 127, 223, 307, 541, 907, 1151, 1361, ... This is...
Forum: Prime Gap Searches 2022-04-17, 17:21
Replies: 112
Views: 34,030
Posted By Bobby Jacobs
Wow! Another record already? That is amazing....

Wow! Another record already? That is amazing. Congratulations!
Forum: Prime Gap Searches 2022-04-09, 20:58
Replies: 112
Views: 34,030
Posted By Bobby Jacobs
Thanks! It is always great to update Wikipedia.

Thanks! It is always great to update Wikipedia.
Forum: Prime Gap Searches 2022-03-30, 16:55
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
I believe that as [$]n\to\infty[/$], the primes p...

I believe that as [$]n\to\infty[/$], the primes p with the most occurrences will be based upon a lot of small prime gaps immediately before p. Therefore, 5659 should eventually beat 109 because the 5...
Forum: Prime Gap Searches 2022-03-20, 20:33
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
How many times does 1327 appear in the list? 1327...

How many times does 1327 appear in the list? 1327 has some big gaps to the next primes (1361, 1367, 1373, 1381, 1399, 1409, 1423). What about 1321? Since 1321 is near 1327, it should also appear a...
Forum: Prime Gap Searches 2022-03-10, 15:18
Replies: 138
Views: 37,293
Posted By Bobby Jacobs
That is very interesting. It would be great to...

That is very interesting. It would be great to find out what the secondary terms are.
Forum: Prime Gap Searches 2022-03-01, 23:49
Replies: 69
Views: 14,161
Posted By Bobby Jacobs
How far have you gotten in your search now? Have...

How far have you gotten in your search now? Have you found any new large prime gaps just above 264? Have you proven that 1552 and 1572 are maximal prime gaps?
Forum: Prime Gap Searches 2022-02-19, 14:00
Replies: 45
Views: 9,487
Posted By Bobby Jacobs
Here are the patterns for the gaps between twin...

Here are the patterns for the gaps between twin twin...twin primes. The sequence is 2, 6, 30, 420, 2310, 2118270, 338447078970, ...


2
[0, 2]
6
[0, 2, 6, 8]
30
[0, 2, 6, 8, 30, 32, 36, 38]...
Forum: Prime Gap Searches 2022-02-11, 13:16
Replies: 45
Views: 9,487
Posted By Bobby Jacobs
You're right, I wasn't paying appropriate...

You're right, I wasn't paying appropriate attention to the word "consecutive" in Bobby's post.:redface:

The currently largest known 16-tuplet has 35 digits, log is 78.56. The gap between the two...
Forum: Prime Gap Searches 2022-02-05, 18:37
Replies: 45
Views: 9,487
Posted By Bobby Jacobs
The smallest admissible distance between 2...

The smallest admissible distance between 2 consecutive primes is 2. These are twin primes (p, p+2). The smallest admissible distance between 2 consecutive pairs of twin primes is 6. These are twin...
Forum: Prime Gap Searches 2022-01-24, 18:27
Replies: 18
Views: 2,725
Posted By Bobby Jacobs
If it is not required to be between multiples of...

If it is not required to be between multiples of 100, then there are some interesting spans of 100 numbers with a lot of primes. For example, there are a whopping 19 primes from 2657 to 2753.
Forum: Prime Gap Searches 2022-01-19, 23:46
Replies: 18
Views: 2,870
Posted By Bobby Jacobs
Please use the thread "Median Gaps" for further...

Please use the thread "Median Gaps" for further postings on this theme.
[/QUOTE]

Did you tell yourself which thread to use? Weird.
Forum: Prime Gap Searches 2022-01-14, 00:11
Replies: 18
Views: 2,725
Posted By Bobby Jacobs
A lot of people never know about a century with...

A lot of people never know about a century with no primes.
Forum: Prime Gap Searches 2022-01-09, 14:14
Replies: 53
Views: 9,703
Posted By Bobby Jacobs
What? What I wrote did look a little conceited to...

What? What I wrote did look a little conceited to me:smile:
[/QUOTE]

This conversation does not make sense to me. It first seems like Robert is agreeing with you that you are being cocky....
Forum: Prime Gap Searches 2022-01-01, 22:05
Replies: 18
Views: 2,725
Posted By Bobby Jacobs
Happy New Year!

Happy New Year! This century has a lot of primes.
Forum: Prime Gap Searches 2021-12-23, 18:38
Replies: 18
Views: 2,870
Posted By Bobby Jacobs
A gap of 102 after 10938023 would make the next...

A gap of 102 after 10938023 would make the next prime 10938125. That is obviously not prime.
Forum: Prime Gap Searches 2021-12-12, 03:07
Replies: 18
Views: 2,725
Posted By Bobby Jacobs
Primes in centuries: The Tortoise and the Hare

According to this article (http://optimnemblog.blogspot.com/2006/07/prime-number-years.html) by Daniel Tammet, the century in the 1000's with the least primes is the 1300's with 11 primes, and the...
Showing results 1 to 25 of 263

 
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