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Forum: Puzzles 2020-10-31, 07:12
Replies: 1
Views: 1,021
Posted By R2357
Smile This one isn't in the OEIS

Hello,

New puzzle that I thought up :

What sequence's representation starts with 5, 16, 361.

It's not in the online encyclopedic integer sequences, so you will...
Forum: Number Theory Discussion Group 2020-10-27, 19:44
Replies: 27
Views: 3,548
Posted By R2357
Smile Did you analyse the way Possible Prime Positions...

Did you analyse the way Possible Prime Positions are taken away in patterns of p# (and I'm not even talking about the composites by primes higher than p)

2 takes away each of its multiples (as...
Forum: Number Theory Discussion Group 2020-10-27, 06:44
Replies: 27
Views: 3,548
Posted By R2357
Question It looks like "we" are certain that something is wrong...

So, if I understand, "we" believe that there exist a counter-example for the 2nd Hardy-Littlewood conjecture, which is already surprising!

But even more surprising is that we think that it's...
Forum: Number Theory Discussion Group 2020-10-26, 17:07
Replies: 27
Views: 3,548
Posted By R2357
I don't understand what you really mean by "human...

I don't understand what you really mean by "human intuition", when we look at the primes from 1 to 3159, this makes more than 14% of the natural numbers, the non-multiples of one and two digit...
Forum: Lounge 2020-10-24, 18:57
Replies: 0
Views: 518
Posted By R2357
Smile Prime time

Remember tonight to go from π(τ) to π(π) :):smile:
Forum: Number Theory Discussion Group 2020-10-23, 19:20
Replies: 27
Views: 3,548
Posted By R2357
Cool Okay, in my calculation, I overlooked the fact...

Okay, in my calculation, I overlooked the fact that numbers congruent to a composite up to 53# divisible by primes from 59 onwards, modulo 53# may be prime, mea culpa :|

But still,...
Forum: Number Theory Discussion Group 2020-10-23, 18:12
Replies: 27
Views: 3,548
Posted By R2357
Question Co prime doesn't mean prime, and I still don't...

Co prime doesn't mean prime, and I still don't understand why the odds are to think that the conjecture is wrong, okay, it's incompatible with the first, but there is no particular reason to think...
Forum: Number Theory Discussion Group 2020-10-23, 14:11
Replies: 27
Views: 3,548
Posted By R2357
Smile Answer

Simply because in any sequence 53#*n to 53#*n+1, all the numbers that are congruent to x*{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53} modulo 53# will be divisible by a prime up to 53....
Forum: Lounge 2020-10-23, 13:53
Replies: 44
Views: 8,204
Posted By R2357
Lightbulb Efficient bases for finding primes

I noticed that if we classify the bases according to how efficient they are to identify at once (by the last digit) composites, base 10 is "quite" good, but not the best!
Not even up to 10, as base...
Forum: Number Theory Discussion Group 2020-10-23, 08:11
Replies: 27
Views: 3,548
Posted By R2357
Sequence of 3159 numbers containing 447 primes

Anyway, if there indeed is such a sequence, then the first or the occurrence will have been reached by 32 589 158 477 190 044 730, thus way below the lower band of 10^174.
Forum: Number Theory Discussion Group 2020-10-22, 16:35
Replies: 27
Views: 3,548
Posted By R2357
But the region where they are searching is over...

But the region where they are searching is over 10^174, so, if we want to find within a sequence of 3159, 447 prime numbers, that means that the interval, this high, must contain even less composite...
Forum: Number Theory Discussion Group 2020-10-22, 14:07
Replies: 27
Views: 3,548
Posted By R2357
Question 2nd Hardy-Littlewood conjecture

Hello,

I've looked at the way primes behave in sequences which have a primorial length and, as I mentionned a few weeks ago, I came across the 2nd Hardy-Littlewood conjecture, which was...
Forum: Lounge 2020-10-17, 17:24
Replies: 447
Views: 27,420
Posted By R2357
For 121, the property I had in mind was that it's...

For 121, the property I had in mind was that it's the smallest composite number that must be counted as a possibility when calculating primes such that p=p"#n+x with x<p",

Note, I wrote the...
Forum: Lounge 2020-10-17, 12:12
Replies: 447
Views: 27,420
Posted By R2357
Smile 37*3=111 New number 121

37*3=111


New number 121
Forum: Puzzles 2020-10-16, 05:10
Replies: 32
Views: 3,897
Posted By R2357
1, 3

I would guess the triangular numbers, at least, it's a possibility.
Forum: Hobbies 2020-10-13, 13:55
Replies: 1
Views: 1,746
Posted By R2357
Smile Languages

Hello
I suggest, since we're in the hobby part, this thread to discuss the languages that we know about and maybe learn from eachother.
Forum: Lounge 2020-10-13, 12:44
Replies: 447
Views: 27,420
Posted By R2357
I thought this thread was about finding...

I thought this thread was about finding particularities in the posted number and post a number...
Forum: Puzzles 2020-10-12, 15:29
Replies: 32
Views: 3,897
Posted By R2357
Kruoli, for b=30, I found 41449031306819

Kruoli, for b=30, I found 41449031306819
Forum: Puzzles 2020-10-12, 15:13
Replies: 32
Views: 3,897
Posted By R2357
Yes, but that wasn't what I had in mind, it's...

Yes, but that wasn't what I had in mind, it's already been found.
Forum: Puzzles 2020-10-12, 15:02
Replies: 32
Views: 3,897
Posted By R2357
Sorry, I should have written base 10

Sorry, I should have written base 10
Forum: Puzzles 2020-10-12, 15:00
Replies: 32
Views: 3,897
Posted By R2357
How did you get the result for b=30, I didn't get...

How did you get the result for b=30, I didn't get the same.
Forum: Puzzles 2020-10-12, 14:58
Replies: 32
Views: 3,897
Posted By R2357
OEIS

I don't know about the last one but fore base 30, I checked and it seems that OEIS is right, it's not prime.
Forum: Puzzles 2020-10-12, 14:39
Replies: 32
Views: 3,897
Posted By R2357
I meant that the last digit to occur in both,...

I meant that the last digit to occur in both, after all the others already occured is 0
Forum: Lounge 2020-10-12, 11:47
Replies: 447
Views: 27,420
Posted By R2357
Smile oops

I forgot to post the next number :

30 031
Forum: Lounge 2020-10-12, 10:53
Replies: 447
Views: 27,420
Posted By R2357
Thumbs up Good

Yes, that's right!
Showing results 1 to 25 of 38

 
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