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Forum: sweety439 2021-06-25, 07:29
Replies: 371
Views: 23,564
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: 9
Views: 495
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: 9
Views: 495
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)
Forum: Math 2021-06-24, 07:56
Replies: 23
Views: 3,238
Posted By sweety439
I suggest: * Test all Wagstaff numbers with...

I suggest:

* Test all Wagstaff numbers with exponent below 15 million (at least prove or disprove that 13347311 and 13372531 are the next two Wagstaff exponents after 4031399), W13347311 and...
Forum: FactorDB 2021-06-24, 07:15
Replies: 15
Views: 8,323
Posted By sweety439
Silvester/Euclid sequence (and the sequences...

Silvester/Euclid sequence (and the sequences which I suggest in the previous post) should not stop when the number is not fully factored (e.g. n=20...
Forum: sweety439 2021-06-24, 06:57
Replies: 371
Views: 23,564
Posted By sweety439
The number of Mersenne exponents end with E...

The number of Mersenne exponents end with E should be less than that of Mersenne exponents end with 1, 5, or 7, this is because for all Sophie Germain primes p == 3 mod 4 (all such primes end with...
Forum: And now for something completely different 2021-06-24, 06:49
Replies: 47
Views: 18,669
Posted By sweety439
A new interest for "Divides Phi"

3*2^n+1 divides Phi(3*2^(n-1),2) for n = 5, 6, 8, 12, and the cofactor of them are all primes (this is the cofactor for n=12 (http://factordb.com/index.php?id=1100000000017315254)), are there any...
Forum: sweety439 2021-06-24, 02:29
Replies: 0
Views: 50
Posted By sweety439
Interesting properties about Mersenne(-related) exponents and Wagstaff(-related) exponents

Mersenne number (Mp, 2^p-1) and Wagstaff number (Wp, (2^p+1)/3):

3 (2^2-1, both Mp and Wp primes)
5 (2^2+1, both Mp and Wp primes)
7 (2^3-1 or 4^1+3, both Mp and Wp primes)
11 (a Sophie Germain...
Forum: Math 2021-06-24, 02:01
Replies: 23
Views: 3,238
Posted By sweety439
You can extended the table to include more terms...

You can extended the table to include more terms in A122834 (https://oeis.org/A122834), now this table includes all known Mersenne exponents (A000043 (https://oeis.org/A000043)) and all known...
Forum: sweety439 2021-06-24, 01:52
Replies: 152
Views: 12,890
Posted By sweety439
There are many conjectures related to this...

There are many conjectures related to this project (find all minimal primes (start with b+1) in bases 2<=b<=1024):

* Are there infinitely many Mersenne primes? (related to family {1} in base 2)
*...
Forum: sweety439 2021-06-23, 04:57
Replies: 152
Views: 12,890
Posted By sweety439
all b^n+-2 and b^n+-(b-1) for 2<=b<=1024 tested...

all b^n+-2 and b^n+-(b-1) for 2<=b<=1024 tested to n=5000

status files attached

(z means b-1, y means b-2)

b^n+2 = (1000...0002) base b = 10002
b^n-2 = (zzz...zzzy) base b = zzzzy...
Forum: FactorDB 2021-06-23, 00:38
Replies: 15
Views: 8,323
Posted By sweety439
Silvester/Euclid sequence in factordb is...

Silvester/Euclid sequence in factordb is repeatedly x^2-x+1 until reaching a prime, I think the polynomial "x^2-x+1" can be generalized to any irreducible polynomial with positive leading coefficient...
Forum: sweety439 2021-06-22, 06:35
Replies: 1,243
Views: 73,385
Posted By sweety439
S40 completed to n=5000 344,1436 ...

S40 completed to n=5000


344,1436
1098,1910
1169,0
1229,0
1415,0
1600,0
2012,1299
Forum: sweety439 2021-06-21, 00:15
Replies: 152
Views: 12,890
Posted By sweety439
b^n+2 (1{0}2) and b^n-2 ({z}y) searched to n=5000...

b^n+2 (1{0}2) and b^n-2 ({z}y) searched to n=5000

the corresponding number in the text files are the length of the (probable) prime in base b

reserve b^n+(b-1) (1{0}z) and b^n-(b-1) ({z}1)
Forum: sweety439 2021-06-20, 04:21
Replies: 152
Views: 12,890
Posted By sweety439
Searched 1{0}2 (b^n+2) and {z}y (b^n-2) (for...

Searched 1{0}2 (b^n+2) and {z}y (b^n-2) (for bases 2<=b<=1024) up to n=5000 and found the (probable) primes 485^3164-2 and 487^3775-2

b^n+2 for all remain bases b<=711 and b^n-2 for all remain...
Forum: sweety439 2021-06-20, 03:31
Replies: 1,243
Views: 73,385
Posted By sweety439
All remain k for R40 are searched to n=5000: ...

All remain k for R40 are searched to n=5000:


157,0
490,2238
520,1329
534,0
618,0
709,0
739,0
Forum: sweety439 2021-06-18, 00:30
Replies: 1,243
Views: 73,385
Posted By sweety439
update PRGW result file for SR40 (I only filled...

update PRGW result file for SR40 (I only filled the list up to the prime (8324*40^2122+1)/gcd(8324+1,40-1))
Forum: sweety439 2021-06-17, 22:15
Replies: 1,243
Views: 73,385
Posted By sweety439
Update status for R40: k n 157 490...

Update status for R40:


k n
157
490 2238
520 1329
534
618
709
Forum: sweety439 2021-06-17, 22:15
Replies: 1,243
Views: 73,385
Posted By sweety439
Update status for S40: k n 344 ...

Update status for S40:


k n
344 1436
1098 1910
1169
1229
1415
1600
Forum: sweety439 2021-06-17, 21:06
Replies: 1,243
Views: 73,385
Posted By sweety439
R106 searched to n=2000 Status file attached.

R106 searched to n=2000

Status file attached.
Forum: sweety439 2021-06-16, 22:56
Replies: 1,243
Views: 73,385
Posted By sweety439
R165, the last k, no (probable) prime found,...

R165, the last k, no (probable) prime found, likely at n>=12K
Forum: sweety439 2021-06-16, 22:30
Replies: 1,243
Views: 73,385
Posted By sweety439
1132*12^28717-1 is prime!!! The 4th...

1132*12^28717-1 is prime!!!

The 4th conjecture of R12 is proven!!!

(this prime is my largest proven prime, i.e. PRPs are not counted)
Forum: sweety439 2021-06-15, 23:30
Replies: 1,243
Views: 73,385
Posted By sweety439
https://docs.google.com/document/d/e/2PACX-1vRsZJe...

https://docs.google.com/document/d/e/2PACX-1vRsZJeVL5kiS3OgWYgranoCe-SN8L1lF-mGkXjzd0BthR2PXklJ4OG5v2lupBCeAwyn1uBtKeLncFwD/pub

I am now also building the table of the first 4 Riesel/Sierpinski...
Forum: sweety439 2021-06-15, 22:10
Replies: 1,243
Views: 73,385
Posted By sweety439
Riesel base 200

1,17807
2,2
3,1
4,7
5,2
6,2
7,1
8,16
9,3
10,1
Forum: sweety439 2021-06-15, 22:04
Replies: 1,243
Views: 73,385
Posted By sweety439
Riesel base 199

1,577
2,1
3,24
4,(partial algebra factors)
5,3
6,1
7,104
8,5
Showing results 1 to 25 of 1000

 
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