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Forum: sweety439 2022-08-10, 18:56
Replies: 369
Views: 49,583
Posted By sweety439
For the smallest flexible primes base b with...

For the smallest flexible primes base b with given d dividing b-1:


4,3,2
5,4,2
6,5,2
7,3,3
7,6,2
8,7,3
9,4,2
Forum: FactorDB 2022-08-10, 15:44
Replies: 571
Views: 108,178
Posted By sweety439
I found two differences: 1. See...

I found two differences:

1. See https://archive.ph/ayAkD and https://archive.ph/jt0sk, there is an additional “Tests” column

2. See https://archive.ph/K22Dc and https://archive.ph/Z2Kut, some...
Forum: FactorDB 2022-08-10, 15:39
Replies: 571
Views: 108,178
Posted By sweety439
It seems to be this number...

It seems to be this number (http://factordb.com/index.php?id=1100000000646133808), with 23770 digits
Forum: sweety439 2022-08-09, 13:45
Replies: 13
Views: 525
Posted By sweety439
For odd prime q, 2^q-1 is Phi(q,2), and (2^q+1)/3...

For odd prime q, 2^q-1 is Phi(q,2), and (2^q+1)/3 is Phi(2*q,2), and p divides Phi(n,2) if and only if order(2,p) = n, and order(2,p) = 2 if and only if (p-1)/n is the largest m dividing p-1 such...
Forum: sweety439 2022-08-08, 17:22
Replies: 1,276
Views: 108,759
Posted By sweety439
S25 k=71 at n=24K, no prime or PRP found

S25 k=71 at n=24K, no prime or PRP found
Forum: sweety439 2022-08-08, 13:27
Replies: 13
Views: 525
Posted By sweety439
this page for New Mersenne Conjecture...

this page for New Mersenne Conjecture (http://www.hoegge.dk/mersenne/NMC.html) needs to be updated
Forum: Software 2022-08-08, 12:15
Replies: 7
Views: 221
Posted By sweety439
This is indeed the P+1 integer factorization...

This is indeed the P+1 integer factorization method, click the link in my post #2 to see what is this
Forum: Software 2022-08-08, 11:31
Replies: 7
Views: 221
Posted By sweety439
Do you mean N+1 primality proving method...

Do you mean N+1 primality proving method (https://primes.utm.edu/prove/prove3_2.html) or P+1 integer factorization method (https://en.wikipedia.org/wiki/Williams%27s_p_%2B_1_algorithm)?
Forum: Aliquot Sequences 2022-08-07, 08:29
Replies: 3,698
Views: 442,560
Posted By sweety439
Now 276 is at index 2140 with size 213

Now 276 is at index 2140 with size 213
Forum: sweety439 2022-08-07, 03:05
Replies: 1,276
Views: 108,759
Posted By sweety439
All 1k bases (I have a plan to reserve all of...

All 1k bases (I have a plan to reserve all of them to 20K+ or 30K+)


base remain k test limit of n
S12 12 33.55M
S18 18 33.55M
S25 71 10K
S32 4 1.717G
S37 37 524K...
Forum: sweety439 2022-08-07, 02:46
Replies: 1,276
Views: 108,759
Posted By sweety439
S103 k=7 at n=22000, no primes or PRPs

S103 k=7 at n=22000, no primes or PRPs
Forum: sweety439 2022-08-06, 14:22
Replies: 13
Views: 525
Posted By sweety439
See https://oeis.org/A005849, the numbers n such...

See https://oeis.org/A005849, the numbers n such that n*2^n+1 is prime (Cullen prime), there is no single known prime term, even worse, all known terms except 1 and 6611 are divisible by either 2 or...
Forum: sweety439 2022-08-06, 13:04
Replies: 13
Views: 525
Posted By sweety439
Are there any interest to extend the sequence...

Are there any interest to extend the sequence https://oeis.org/A275530?
Forum: NFS@Home 2022-08-06, 12:45
Replies: 465
Views: 59,031
Posted By sweety439
Hi, Can I request NFS@home to factor...

Hi,

Can I request NFS@home to factor 13^282+1 and 13^288+1, using SNFS?
Forum: FactorDB 2022-08-06, 12:43
Replies: 571
Views: 108,178
Posted By sweety439
this page...

this page (http://factordb.com/certoverview.php?digits=20000&perpage=100&skip=0) is blank
Forum: sweety439 2022-08-06, 11:43
Replies: 13
Views: 525
Posted By sweety439
Limit of generalized repunits

In the top generalized repunit primes page (https://primes.utm.edu/top20/page.php?id=16), the condition of the generalized repunit primes (b^n-1)/(b-1) is n >= b/5, otherwise every prime can be...
Forum: sweety439 2022-08-06, 08:34
Replies: 9
Views: 389
Posted By sweety439
Forms that only contain 5-smooth (at least...

Forms that only contain 5-smooth (at least 7-smooth) numbers

For the case n*2^n+1 with n>1, since it only contains the number 2, the first prime is at n=141 is unusual large, the same for 5^n+8...
Forum: sweety439 2022-08-06, 06:19
Replies: 9
Views: 389
Posted By sweety439
But none of them have small primes, e.g. the most...

But none of them have small primes, e.g. the most famous 4*72^n-1 (4 is the smallest composite number and 72 is the smallest Achilles number), it has no prime with n >= 1 until n = 1119849
Forum: sweety439 2022-08-05, 13:22
Replies: 1,276
Views: 108,759
Posted By sweety439
R181 k=5 at n=21000, no prime or PRP Reserve...

R181 k=5 at n=21000, no prime or PRP

Reserve S103 (k=7)
Forum: FactorDB 2022-08-05, 10:05
Replies: 571
Views: 108,178
Posted By sweety439
Because I want to solve my minimal prime problem...

Because I want to solve my minimal prime problem (https://docs.google.com/document/d/e/2PACX-1vQct6Hx-IkJd5-iIuDuOKkKdw2teGmmHW-P75MPaxqBXB37u0odFBml5rx0PoLa0odTyuW67N_vn96J/pub) to all bases...
Forum: sweety439 2022-08-04, 09:17
Replies: 3
Views: 8,635
Posted By sweety439
I have found that: the sequence a(n+1) =...

I have found that: the sequence a(n+1) = s(a(n))+k, start with any prime number:


1: 2,
2: 3,
3: 4, 6, 9, 7,
4: 5,
5: 6, 11,
6: 7,
7: 8, 14, 17,
Forum: And now for something completely different 2022-08-04, 02:49
Replies: 49
Views: 10,640
Posted By sweety439
Well .... There is no single known odd...

Well ....

There is no single known odd composite term, and there is no single known term > 3 which is == 3 mod 4
Forum: And now for something completely different 2022-08-04, 01:52
Replies: 49
Views: 10,640
Posted By sweety439
Well, I saw the OEIS page, this sequence should...

Well, I saw the OEIS page, this sequence should be infinite, but is 157 the largest odd term?
Forum: Conjectures 'R Us 2022-08-04, 01:46
Replies: 682
Views: 86,296
Posted By sweety439
For R478, k=477 is already known to have no prime...

For R478, k=477 is already known to have no prime with n<=200K, see https://harvey563.tripod.com/wills.txt
Forum: FactorDB 2022-08-04, 01:36
Replies: 571
Views: 108,178
Posted By sweety439
I already know that factordb.com often down!!! So...

I already know that factordb.com often down!!! So I download the primality certificates for many primes and upload them to GitHub...
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