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Forum: Prime Wiki 2021-10-24, 00:19
Replies: 44
Views: 1,323
Posted By sweety439
The page Woodall prime 512...

The page Woodall prime 512 (https://www.rieselprime.de/ziki/Woodall_prime_512) misses three n-values: 2, 6, 25, since in this wiki, generalized Cullen/Woodall primes n*b^n +/- 1 with n<b-1 should...
Forum: sweety439 2021-10-24, 00:10
Replies: 37
Views: 5,065
Posted By sweety439
Links for prime checker: ...

Links for prime checker:

https://primes.utm.edu/curios/includes/primetest.php?file=primetest.html
https://www.numberempire.com/primenumbers.php
https://www.bigprimes.net/primalitytest...
Forum: sweety439 2021-10-23, 20:39
Replies: 197
Views: 20,254
Posted By sweety439
Another interesting base is b=23, this base is...

Another interesting base is b=23, this base is SOLVED (https://raw.githubusercontent.com/curtisbright/mepn-data/master/data/minimal.23.txt) when single-digit primes (i.e. the primes p<23) and the...
Forum: sweety439 2021-10-23, 20:29
Replies: 197
Views: 20,254
Posted By sweety439
Base b=72 has largest known minimal prime (start...

Base b=72 has largest known minimal prime (start with b+1) for all bases 2<=b<=1024: 3(71^1119849), its value is 4*72^1119849-1 (https://primes.utm.edu/primes/page.php?id=122173), it has 2079933...
Forum: And now for something completely different 2021-10-21, 18:33
Replies: 43
Views: 3,036
Posted By sweety439
I saw your page and I have a question: How many...

I saw your page and I have a question: How many classes of prime n-tuplets?


n classes
1 {0} (1 class)
2 {0,2} (1 class)
3 {0,2,6}, {0,4,6} (2 classes)
4 {0,2,6,8} (1 class)
5...
Forum: Riesel Prime Search 2021-10-20, 08:42
Replies: 288
Views: 50,007
Posted By sweety439
You mean that the Nash weight...

You mean that the Nash weight (https://www.rieselprime.de/ziki/Nash_weight) (or difficulty (https://stdkmd.net/nrr/prime/primedifficulty.txt)) for K=2 (999...9997999...999) is very low?
Forum: sweety439 2021-10-19, 13:04
Replies: 197
Views: 20,254
Posted By sweety439
A minimal prime (start with b+1) base b is called...

A minimal prime (start with b+1) base b is called infinite-minimal prime iff there are infinitely many primes which have this minimal prime (start with b+1) as subsequence (when written as base b...
Forum: sweety439 2021-10-19, 11:04
Replies: 197
Views: 20,254
Posted By sweety439
Like...

Like http://www.wiskundemeisjes.nl/wp-content/uploads/2007/02/primes2.pdf, if you write down a prime > 10, then I can always strike out 0 or more digits to get a prime on this set: {11, 13, 17, 19,...
Forum: sweety439 2021-10-18, 18:04
Replies: 197
Views: 20,254
Posted By sweety439
Families which can be ruled out as contain no...

Families which can be ruled out as contain no primes (only count numbers > base) by reasons other than trivial 1-cover are:


Base 5:
{1}3 (covering set {2,3}) (not produce minimal primes (start...
Forum: MattcAnderson 2021-10-18, 14:32
Replies: 24
Views: 587
Posted By sweety439
You can try to construct F33 (=2^(2^33)+1)-sided...

You can try to construct F33 (=2^(2^33)+1)-sided polygon, in fact, if you calculated cos(2*pi/F33) and....

* If this number only contain square roots and no roots beyond square roots, then F33 is...
Forum: Marin's Mersenne-aries 2021-10-18, 04:31
Replies: 75
Views: 2,689
Posted By sweety439
Also A279095 (https://oeis.org/A279095) should be...

Also A279095 (https://oeis.org/A279095) should be updated, a(29) is known to be 1996040, and a(30) - a(38) = {1, 700, 623, 134, 88864, 284, 1236, 821688, 60}

Also A126043...
Forum: sweety439 2021-10-17, 17:00
Replies: 197
Views: 20,254
Posted By sweety439
The algebra form ((a*b^n+c)/d) of the unsolved...

The algebra form ((a*b^n+c)/d) of the unsolved families are:


base unsolved family algebra form
11 5(7^n) (57*11^n-7)/10
13 9(5^n) (113*13^n-5)/12
13 A(3^n)A (41*13^(n+1)+27)/4...
Forum: Marin's Mersenne-aries 2021-10-17, 15:58
Replies: 135
Views: 9,281
Posted By sweety439
OEIS sequence https://oeis.org/A000043 has not...

OEIS sequence https://oeis.org/A000043 has not been updated by adding a proven term a(48) = 57885161
Forum: sweety439 2021-10-16, 13:54
Replies: 197
Views: 20,254
Posted By sweety439
The smallest generalized near-repdigit primes...

The smallest generalized near-repdigit primes (i.e. of the form x{y} or {x}y) base b is always minimal primes (start with b+1) in base b unless the repeating digit (i.e. y for x{y}, or x for {x}y) is...
Forum: sweety439 2021-10-16, 13:45
Replies: 197
Views: 20,254
Posted By sweety439
Another conjecture (seems to already be proven,...

Another conjecture (seems to already be proven, but I am not sure that): If all but finitely many primes p divide (a*b^n+c)/gcd(a+c,b-1) (a>=1 is integer, b>=2 is integer, c is (positive or negative)...
Forum: sweety439 2021-10-16, 13:38
Replies: 197
Views: 20,254
Posted By sweety439
Conjecture: If sequence (a*b^n+c)/gcd(a+c,b-1)...

Conjecture: If sequence (a*b^n+c)/gcd(a+c,b-1) (a>=1 is integer, b>=2 is integer, c is (positive or negative) integer, |c|>=1, gcd(a,c) = 1, gcd(b,c) = 1) does not have covering set (full numerical...
Forum: sweety439 2021-10-06, 23:52
Replies: 197
Views: 20,254
Posted By sweety439
New minimal prime (start with b+1) in base b is...

New minimal prime (start with b+1) in base b is found for b=908: 8(0^243438)1, see post https://mersenneforum.org/showpost.php?p=589662&postcount=992

File...
Forum: FactorDB 2021-10-06, 19:05
Replies: 431
Views: 74,662
Posted By sweety439
Well, the prime (243^1400*241+1)/242 is found by...

Well, the prime (243^1400*241+1)/242 is found by me, in the process of finding the smallest prime of the form (b^n*(b-2)+1)/(b-1) with n>=2 and fixed base 3<=b<=1024, see the column "{y}z" in...
Forum: sweety439 2021-10-05, 12:07
Replies: 197
Views: 20,254
Posted By sweety439
No, base 32 family 8{0}V has covering set {3, 5,...

No, base 32 family 8{0}V has covering set {3, 5, 41}, thus can be ruled out as only contain composite numbers.
Forum: sweety439 2021-10-02, 17:52
Replies: 197
Views: 20,254
Posted By sweety439
PARI/GP program of this problem attached (not...

PARI/GP program of this problem attached (not completely done, continue updating ....)

Note: in this program, vector [a,b,[c],d,e] means simple family ab{c}de = abccc...cccde, and vector...
Forum: Marin's Mersenne-aries 2021-10-01, 14:09
Replies: 135
Views: 9,281
Posted By sweety439
Now we have verified that A279095...

Now we have verified that A279095 (https://oeis.org/A279095)(29) = 1996040, since neither 57747433 nor 57773081 is == 1 mod 29, thus 57885161 is proven to be the smallest prime p == 1 mod 29 such...
Forum: sweety439 2021-10-01, 12:53
Replies: 1,250
Views: 82,195
Posted By sweety439
The top proven conjectures...

The top proven conjectures (http://www.noprimeleftbehind.net/crus/vstats_new/crus-proven.htm) are all related to perfect powers (https://oeis.org/A001597) (i.e. either k or b is perfect power):
...
Forum: sweety439 2021-09-28, 07:04
Replies: 134
Views: 18,705
Posted By sweety439
Newest status for the unsolved families in base...

Newest status for the unsolved families in base 31:

(probable) primes found:


E8{U}P: prime at length 21869 (the prime is 443*31^21867-6)
IE{L}: prime at length 29789 (the prime is...
Forum: And now for something completely different 2021-09-27, 03:41
Replies: 10
Views: 884
Posted By sweety439
It is also conjectured that this is also true for...

It is also conjectured that this is also true for every (a*b^n+c)/gcd(a+c,b-1) (a>=1, b>=2, c != 0, gcd(a,c) = 1, gcd(b,c) = 1) form which cannot be proven as only contain composites or only contain...
Forum: LaurV 2021-09-27, 03:33
Replies: 22
Views: 6,978
Posted By sweety439
Are there new terms found, or newer search...

Are there new terms found, or newer search limits?

https://oeis.org/A119591/a119591_1.txt
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