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Forum: sweety439 2021-08-02, 11:13
Replies: 0
Views: 67
Posted By sweety439
Unsolved problems about primes and number theory collect

1. Grand Riemann hypothesis (https://en.wikipedia.org/wiki/Grand_Riemann_hypothesis)
1a. Extended Riemann hypothesis (https://en.wikipedia.org/wiki/Extended_Riemann_hypothesis)
1aa. Generalized...
Forum: Aliquot Sequences 2021-08-02, 09:36
Replies: 1,267
Views: 126,443
Posted By sweety439
The page has "Primorials", but does not have...

The page has "Primorials", but does not have "Factorials", I try to take the factorials (https://oeis.org/A000142).

Also, I try the highly abundant numbers (https://oeis.org/A002093), since they...
Forum: Aliquot Sequences 2021-08-02, 03:50
Replies: 1
Views: 6,880
Posted By sweety439
Problem: Are there any sociable number cycles...

Problem: Are there any sociable number cycles such that not all numbers have same parity?
Forum: Prime Wiki 2021-08-02, 03:47
Replies: 212
Sticky: Prime-Wiki
Views: 60,067
Posted By sweety439
There are links wikipedia:Morrison's Theorem...

There are links wikipedia:Morrison's Theorem (https://en.wikipedia.org/wiki/Morrison%27s_Theorem) and wikipedia:Selfridge's Cube Root Primality Test...
Forum: Conjectures 'R Us 2021-08-02, 03:38
Replies: 958
Views: 113,749
Posted By sweety439
Nice!!! Now S70 become a 1k base, and it is now...

Nice!!! Now S70 become a 1k base, and it is now the 1k Sierp base with 2nd largest CK (the 1st largest CK is S430), and if proven (I think that both this base and S430 can be proven when tested to...
Forum: Aliquot Sequences 2021-08-02, 03:28
Replies: 1,267
Views: 126,443
Posted By sweety439
276 is interesting since it is the smallest...

276 is interesting since it is the smallest number whose aliquot sequence has not yet been fully determined.

However, 276^2 immediately terminated at the prime 146683.

276^3 currently at...
Forum: sweety439 2021-08-02, 00:17
Replies: 374
Views: 24,700
Posted By sweety439
currently test limit for A039951

currently test limit for A039951
Forum: sweety439 2021-07-31, 08:53
Replies: 157
Views: 14,809
Posted By sweety439
Update newest data for minimal primes (start with...

Update newest data for minimal primes (start with b+1) in bases 2<=b<=16

Newest condensed table:


b number of quasi-minimal primes base b base-b form of largest known quasi-minimal prime base...
Forum: sweety439 2021-07-31, 08:35
Replies: 157
Views: 14,809
Posted By sweety439
Related search for minimal primes (generalized...

Related search for minimal primes (generalized form: (a*b^n+c)/d) in PRP top:

b^n+c (http://www.primenumbers.net/prptop/searchform.php?form=b%5En%2Bc&action=Search)

b^n-c...
Forum: Riesel Prime Search 2021-07-31, 04:22
Replies: 28
Views: 17,943
Posted By sweety439
Nash weight seems to be also exist for...

Nash weight seems to be also exist for (a*b^n+c)/d with d>1, see https://stdkmd.net/nrr/prime/primedifficulty.txt, the difficulty is the Nash weight of the form.
Forum: Math 2021-07-31, 04:19
Replies: 27
Views: 4,315
Posted By sweety439
One link in page...

One link in page http://www.hoegge.dk/mersenne/NMC.html has a typo: in column "2^p - 1 prime" for p = 15135397, the link should be https://mersenne.org/M15135397 rather than...
Forum: FactorDB 2021-07-31, 04:16
Replies: 471
Views: 82,280
Posted By sweety439
The number 650^498101*4/5^996202...

The number 650^498101*4/5^996202 (http://factordb.com/index.php?id=1100000002636244627) cannot be factored, when I report factor either 2 or 13, factordb gets oo loop
Forum: sweety439 2021-07-31, 03:54
Replies: 157
Views: 14,809
Posted By sweety439
Newest pdf file for this problem attached in post...

Newest pdf file for this problem attached in post #131 (https://mersenneforum.org/showpost.php?p=569180&postcount=131)
Forum: Wagstaff PRP Search 2021-06-29, 17:02
Replies: 16
Views: 1,648
Posted By sweety439
Only run Fermat test is dangerous, as there are...

Only run Fermat test is dangerous, as there are many Carmichael numbers, see https://en.wikipedia.org/wiki/Baillie%E2%80%93PSW_primality_test#The%20danger%20of%20relying%20only%20on%20Fermat%20tests,...
Forum: Wagstaff PRP Search 2021-06-29, 16:59
Replies: 16
Views: 1,648
Posted By sweety439
Can you test all Wagstaff exponents below it?...

Can you test all Wagstaff exponents below it? Currently only the Wagstaff exponents below 10 million are tested, see https://mersenneforum.org/showthread.php?t=24185
Forum: sweety439 2021-06-29, 16:29
Replies: 157
Views: 14,809
Posted By sweety439
README for the file...

README for the file https://docs.google.com/spreadsheets/d/e/2PACX-1vTKkSNKGVQkUINlp1B3cXe90FWPwiegdA07EE7-U7sqXntKAEQrynoI1sbFvvKriieda3LfkqRwmKME/pubhtml:

* 12{3}45 means family {1245, 12345,...
Forum: FactorDB 2021-06-29, 08:37
Replies: 14
Views: 1,828
Posted By sweety439
I typed "B10...

I typed "B10 (http://factordb.com/index.php?query=B10)" in factordb, and the result number is still 10 instead of Bell (https://oeis.org/A000110)(10) = 115975
Forum: sweety439 2021-06-28, 09:24
Replies: 12
Views: 6,610
Posted By sweety439
this...

this (https://raw.githubusercontent.com/xayahrainie4793/text-file-stored/main/k%3E%3D2%20such%20that%20Phi(n%2Ck)%20is%20prime) is a list for all 2<=k<=4096 such that Phi(n,k) is prime. We noticed...
Forum: sweety439 2021-06-27, 13:19
Replies: 157
Views: 14,809
Posted By sweety439
We can use the sense of...

We can use the sense of http://www.iakovlev.org/zip/riesel2.pdf to conclude that the unsolved families (unsolved families are families which are neither primes (>base) found nor can be proven to...
Forum: sweety439 2021-06-27, 12:47
Replies: 1,244
Views: 76,132
Posted By sweety439
Riesel problems...

Riesel problems (https://docs.google.com/document/d/e/2PACX-1vReofbA92gRRhzqjKA3TKOqsukineM59WpM56LuRnbhB7bBFSYL6w-aTJ2IpJPWpiyCmPLOSE6gqDrR/pub) and Sierpinski problems...
Forum: Sierpinski/Riesel Base 5 2021-06-27, 09:05
Replies: 4
Views: 13,052
Posted By sweety439
Now there are: 30 Sierpinski k's remain (at...

Now there are:

30 Sierpinski k's remain (at n=3.3M): {6436, 7528, 10918, 26798, 29914, 31712, 36412, 41738, 44348, 44738, 45748, 51208, 58642, 60394, 62698, 64258, 67612, 67748, 71492, 74632,...
Forum: sweety439 2021-06-26, 13:44
Replies: 0
Views: 101
Posted By sweety439
A curious of generalized repunit primes

For given base b and given prime p:

(b^p-1)/(b-1) (http://www.fermatquotient.com/PrimSerien/GenRepu.txt) is divisible by p if and only if p divides b-1
(b^p+1)/(b+1)...
Forum: sweety439 2021-06-25, 07:29
Replies: 374
Views: 24,700
Posted By sweety439
If I only research a problem in dozenal (base...

If I only research a problem in dozenal (base 12), or if I only research a problem in bases <= 12, then I use X for ten and E for eleven, however, if I research a problem in bases including those >...
Forum: FactorDB 2021-06-25, 07:09
Replies: 14
Views: 1,828
Posted By sweety439
I want to add the first n digits for many...

I want to add the first n digits for many mathematical constants (pi, e, gamma, sqrt(2), ln(2), golden ratio, ...) in all bases 2<=b<=36, also the Smarandache numbers (https://oeis.org/A007908) and...
Forum: FactorDB 2021-06-25, 07:07
Replies: 14
Views: 1,828
Posted By sweety439
I suggest that factordb can add all these...

I suggest that factordb can add all these functions (https://mersenneforum.org/showpost.php?p=579527&postcount=12)
Showing results 1 to 25 of 1000

 
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