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Forum: sweety439 2022-05-19, 20:13
Replies: 1,268
Views: 99,956
Posted By sweety439
All tested to n=6K, no prime or PRP found ...

All tested to n=6K, no prime or PRP found

bases released, reserve R181 (k=21)
Forum: sweety439 2022-05-19, 06:43
Replies: 5
Views: 2,460
Posted By sweety439
Mersenne exponents up to 127 ...

Mersenne exponents up to 127 Wagstaff exponents up to 127

2 (only Mersenne exists, since its corresponding Wagstaff number is not integer)
3, 5, 7
11 (11 is Wagstaff...
Forum: sweety439 2022-05-19, 06:35
Replies: 5
Views: 2,460
Posted By sweety439
MM2, MM3, MM5, MM7 are primes, and (conjectured)...

MM2, MM3, MM5, MM7 are primes, and (conjectured) MMp is composite if p>7.

WW3, WW5, WW7 are primes, and (conjectured) WWp is composite if p>7.

WM2, WM3, WM5, WM7 are primes (to satisfy the New...
Forum: sweety439 2022-05-19, 00:30
Replies: 1,268
Views: 99,956
Posted By sweety439
Take the following bases: R165 R178 (k=19)...

Take the following bases:

R165
R178 (k=19)
R186
Forum: sweety439 2022-05-17, 19:38
Replies: 413
Views: 33,366
Posted By sweety439
OEIS sequences of smallest Proth primes...

OEIS sequences of smallest Proth primes (k*b^n+1), smallest Riesel primes (k*b^n-1), smallest dual Proth primes (b^n+k), smallest dual Riesel primes (b^n-k):


k smallest Proth primes...
Forum: sweety439 2022-05-17, 19:28
Replies: 74
Views: 17,032
Posted By sweety439
The record values: Base 2: Appending...

The record values:

Base 2:

Appending 1's:

1 (1)
4 (2)
12 (3)
13 (4)
Forum: FactorDB 2022-05-16, 21:54
Replies: 440
Views: 83,193
Posted By sweety439
The generalized repunit probable prime,...

The generalized repunit probable prime, R2731(685) (http://factordb.com/index.php?id=1100000000491221598), N-1 (http://factordb.com/index.php?id=1100000000491221888) has 31.345% factored, all...
Forum: FactorDB 2022-05-15, 14:14
Replies: 541
Views: 100,842
Posted By sweety439
There were many small composites < 10^18...

There were many small composites < 10^18 (https://archive.ph/9D4aU) (from a bug) in Oct 2021, and all of them had been deleted, but there were also many small primes < 10^18...
Forum: Dobri 2022-05-14, 16:06
Replies: 53
Views: 4,484
Posted By sweety439
OEIS sequences references of your problem: ...

OEIS sequences references of your problem:

https://oeis.org/A007350
https://oeis.org/A007352
https://oeis.org/A199547
https://oeis.org/A306891
https://oeis.org/A038698...
Forum: sweety439 2022-05-14, 13:36
Replies: 3
Views: 271
Posted By sweety439
We use "infinity" instead of "0" or "-1" because...

We use "infinity" instead of "0" or "-1" because ...

* infinity is > any finite number, this is more convenient (e.g. the smallest n such that (k^n-1)/(k-1) is prime, for k = 185, (k^n-1)/(k-1)...
Forum: sweety439 2022-05-13, 21:23
Replies: 13
Views: 963
Posted By sweety439
First holes: b=2~401...

First holes:

b=2~401 (http://myfactorcollection.mooo.com:8090/cgi-bin/showFH?FBase=2&TBase=401&c0=)
Forum: Factoring 2022-05-13, 20:14
Replies: 485
Views: 73,882
Posted By sweety439
Indeed, when I try to use N-1 proof...

Indeed, when I try to use N-1 proof (https://primes.utm.edu/prove/prove3_1.html) or N+1 proof (https://primes.utm.edu/prove/prove3_2.html) for the generalized repunit primes...
Forum: sweety439 2022-05-12, 23:20
Replies: 1
Views: 93
Posted By sweety439
Strictly generalized repunit primes

Like the sense ...

Generalized Cullen primes base b: primes of the form n*b^n+1 (https://oeis.org/A240234)
Generalized Woodall primes base b: primes of the form n*b^n-1 (https://oeis.org/A240235)...
Forum: sweety439 2022-05-12, 22:58
Replies: 1
Views: 93
Posted By sweety439
Curious of generalized repunit primes

Mersenne conjectured that for primes p <= 257, 2^p-1 is prime if and only if p = {2, 3, 5, 7, 13, 17, 19, 31, 67, 127, 257}, but this is not true, the correct one is: for primes p <= 257, 2^p-1 is...
Forum: Factoring 2022-05-12, 22:05
Replies: 485
Views: 73,882
Posted By sweety439
89^145-1...

89^145-1 (http://factordb.com/index.php?id=1100000000008232208) is already fully factored.
Forum: Factoring 2022-05-12, 22:04
Replies: 86
Views: 88,876
Posted By sweety439
https://www.numberempire.com/numberfactorizer.php...

https://www.numberempire.com/numberfactorizer.php

https://www.alpertron.com.ar/ECM.HTM

http://www.javascripter.net/math/calculators/primefactorscalculator.htm
...
Forum: sweety439 2022-05-12, 12:59
Replies: 329
Views: 40,845
Posted By sweety439
The minimal prime in family 1{z} in base b...

The minimal prime in family 1{z} in base b (always minimal prime (start with b+1) base b) has length 2 if and only if the minimal prime in family 1{0}z in base b (always minimal prime (start with...
Forum: sweety439 2022-05-12, 12:59
Replies: 329
Views: 40,845
Posted By sweety439
The possible length of a prime in the families...

The possible length of a prime in the families (in any base b) are: (the length is possible if and only if the corresponding polynomial of the base b satisfies the condition in Bunyakovsky conjecture...
Forum: sweety439 2022-05-08, 14:14
Replies: 329
Views: 40,845
Posted By sweety439
bases 9, 10, 12

bases 9, 10, 12
Forum: sweety439 2022-05-07, 12:39
Replies: 329
Views: 40,845
Posted By sweety439
upload the base 9 file.

upload the base 9 file.
Forum: sweety439 2022-05-07, 10:56
Replies: 4
Views: 141
Posted By sweety439
Well, can someone update the Windows version of...

Well, can someone update the Windows version of Primo?
Forum: Cunningham Tables 2022-05-07, 10:55
Replies: 56
Sticky: 7- table
Views: 36,144
Posted By sweety439
7,379- was already done in December 2021

7,379- was already done in December 2021
Forum: sweety439 2022-05-07, 08:51
Replies: 25
Views: 1,474
Posted By sweety439
Predict the smallest integer n such that 67607*2^n+1 is prime

Sierpinski conjectured that 78557 is the smallest odd k such that k*2^n+1 is composite for all integer n (for k = 78557, k*2^n+1 must be divisible by at least one of {3, 5, 7, 13, 19, 37, 73}, thus...
Forum: sweety439 2022-05-07, 08:44
Replies: 4
Views: 141
Posted By sweety439
Minus Yet another trivial "do this"

There is a much smaller interesting number: (64*10^10906+53)/9 (http://factordb.com/index.php?id=1000000000008860930), with "only" 10907 digits, which is 7111...1117 with 10905 1's, and is the...
Forum: Miscellaneous Math 2022-05-06, 12:45
Replies: 29
Views: 1,022
Posted By sweety439
Well, my article...

Well, my article (https://docs.google.com/document/d/e/2PACX-1vQct6Hx-IkJd5-iIuDuOKkKdw2teGmmHW-P75MPaxqBXB37u0odFBml5rx0PoLa0odTyuW67N_vn96J/pub) has many examples of algebraic factorization and...
Showing results 1 to 25 of 1000

 
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