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Forum: Software 2020-11-30, 08:23
Replies: 2
Views: 105
Posted By sweety439
This k is too large (>2^32), thus sr2sieve cannot...

This k is too large (>2^32), thus sr2sieve cannot handle, like that sr2sieve cannot handle the sequence (k*b^n+c)/gcd(k+c,b-1) (k>=1, b>=2, c != 0, gcd(k,c) = 1, gcd(b,c) = 1) such that gcd(k+c,b-1)...
Forum: sweety439 2020-11-29, 19:26
Replies: 82
Views: 5,969
Posted By sweety439
Thus, the top 5 minimal primes in base 60 are: ...

Thus, the top 5 minimal primes in base 60 are:


{40}_(1937):1 =...
Forum: sweety439 2020-11-29, 19:22
Replies: 82
Views: 5,969
Posted By sweety439
The 1st number {26}_(896):1 is minimal prime ...

The 1st number {26}_(896):1 is minimal prime
The 2nd number {40}_(1937):1 is minimal prime
The 3rd number 47:{35}_(686):49 is not minimal prime, since 47 is prime
The 4th number {35}_(367):1:49 is...
Forum: sweety439 2020-11-29, 15:11
Replies: 82
Views: 5,969
Posted By sweety439
Base 60 minimal primes with >=500 decimal digits:...

Base 60 minimal primes with >=500 decimal digits:


{26}_(896):1 =...
Forum: sweety439 2020-11-29, 11:42
Replies: 82
Views: 5,969
Posted By sweety439
15355652532213890615999166695527411108974566321899...

15355652532213890615999166695527411108974566321899556921920836814748295122721351294535109225253612216904771663142717230331201888020178409691358725713879353774886072428929097874102677636894256644324639...
Forum: sweety439 2020-11-29, 11:35
Replies: 82
Views: 5,969
Posted By sweety439
Thus, we have proved that {40}1937:1 is the...

Thus, we have proved that {40}1937:1 is the largest minimal prime in base 60, but.... we should check the number {40}:x:1 and x:{40}:1

{40}:x:1


0,8784001
1,144061
2,527184121
3,527184181...
Forum: sweety439 2020-11-29, 11:20
Replies: 82
Views: 5,969
Posted By sweety439
Note that x:{0}:(69-x):0:49 and x:{0}:0:(69-x):49...

Note that x:{0}:(69-x):0:49 and x:{0}:0:(69-x):49 do not need to test, since they have trivial factor of 59
Forum: sweety439 2020-11-29, 11:17
Replies: 82
Views: 5,969
Posted By sweety439
No, 44:49 is prime (equals 2689), thus {56}:44:49...

No, 44:49 is prime (equals 2689), thus {56}:44:49 also not needed.
Forum: sweety439 2020-11-29, 09:23
Replies: 82
Views: 5,969
Posted By sweety439
Now, the unsolved families are: {56}:5:49...

Now, the unsolved families are:

{56}:5:49 (not needed, since 5 is prime)
{56}:44:49 (very low weight but eventually should yield a prime)
56:{0}:35:13:49 (not needed, since 13 is prime)
Forum: sweety439 2020-11-29, 09:16
Replies: 82
Views: 5,969
Posted By sweety439
the family x:{0}:y:(69-x):49 ...

the family x:{0}:y:(69-x):49


14,14,1828497162240000000053749
14,21,3102949
14,28,87314335528601055933672487703638179840000000000000000000000000000000000000000104149...
Forum: sweety439 2020-11-29, 09:12
Replies: 82
Views: 5,969
Posted By sweety439
For the families * x:{0}:(69-x):y:49 (both x...

For the families

* x:{0}:(69-x):y:49 (both x and y are divisible by 7)
* x:{0}:y:(69-x):49 (both x and y are divisible by 7)

the formula is x*60^n+(69-x)*3600+y*60+49, and the exponent n must...
Forum: sweety439 2020-11-29, 08:45
Replies: 82
Views: 5,969
Posted By sweety439
the exponent n must be >=2 thus the numbers...

the exponent n must be >=2

thus the numbers should be:

14:{0}:x:49


1,24253982091278071092686802139899494400000000000000000000000000000000000000000109
2,85310363601469440000000000000000169...
Forum: sweety439 2020-11-29, 08:33
Replies: 82
Views: 5,969
Posted By sweety439
x:{56}:49 1,109 ...

x:{56}:49


1,109
2,232903489510723542345762711864406779661009
3,229
4,64141009
5,349
6,409
8,6958861009
Forum: sweety439 2020-11-29, 08:18
Replies: 82
Views: 5,969
Posted By sweety439
The corresponding number should contain...

The corresponding number should contain x:{0}:(69-x):(69-x):49, thus the exponent n of x*60^n+(69-x)*3600+(69-x)*60+49 must be >=3

thus the numbers should be:


14,3225349...
Forum: sweety439 2020-11-28, 18:59
Replies: 82
Views: 5,969
Posted By sweety439
Simple family 46:46:{42}:49 has prime 168409 ...

Simple family 46:46:{42}:49 has prime 168409

For the family x:46:{42}:49 (x is divisible by 7):


14,3192169
21,47407121744705084745769
28,17401277249084745769
35,100156988745769
42,9240169
Forum: sweety439 2020-11-27, 16:41
Replies: 363
Views: 13,687
Posted By sweety439
Update files for unique primes

Update files for unique primes
Forum: Miscellaneous Math 2020-11-27, 05:57
Replies: 15
Views: 254
Posted By sweety439
This number has trivial 50% N-1 factorization. ...

This number has trivial 50% N-1 factorization.

What is the largest number proven to be prime by N-1 / N+1 / combined methods, but without trivial factorization (i.e. N-1 / N+1 is not divisible by...
Forum: sweety439 2020-11-27, 05:44
Replies: 20
Views: 545
Posted By sweety439
Links for Aliquot sequence: ...

Links for Aliquot sequence:

http://www.aliquot.de/aliquote.htm
http://christophe.clavier.free.fr/Aliquot/site/Aliquot.html
http://www.aliquotes.com/...
Forum: sweety439 2020-11-27, 05:34
Replies: 20
Views: 545
Posted By sweety439
http://www.ellipsa.eu/ https://primes.utm.edu/ ...

http://www.ellipsa.eu/
https://primes.utm.edu/
https://primes.utm.edu/curios/home.php
https://www.ellipsa.eu/public/primo/top20.html
http://www.primerecords.dk/
https://www.primepuzzles.net/...
Forum: sweety439 2020-11-27, 05:27
Replies: 20
Views: 545
Posted By sweety439
Prime programs: PARI/GP...

Prime programs:

PARI/GP (http://pari.math.u-bordeaux.fr/)
PRIMO (http://www.ellipsa.eu/public/primo/primo.html)
PFGW (https://sourceforge.net/projects/openpfgw/)
LLR...
Forum: sweety439 2020-11-27, 05:25
Replies: 20
Views: 545
Posted By sweety439
https://members.loria.fr/PZimmermann/records/ecmne...

https://members.loria.fr/PZimmermann/records/ecmnet.html
http://www.rechenkraft.net/yoyo/
https://escatter11.fullerton.edu/nfs/
http://home.iprimus.com.au/bobb777/...
Forum: sweety439 2020-11-27, 05:16
Replies: 20
Views: 545
Posted By sweety439
http://myfactors.mooo.com/ http://factordb.com/...

http://myfactors.mooo.com/
http://factordb.com/
https://stdkmd.net/nrr/repunit/
http://www.primenumbers.net/prptop/prptop.php/
https://primes.utm.edu/primes/lists/all.txt...
Forum: sweety439 2020-11-27, 05:07
Replies: 20
Views: 545
Posted By sweety439
Links for repunit: ...

Links for repunit:

http://www.kurtbeschorner.de/
https://maths-people.anu.edu.au/~brent/factors.html
https://gmplib.org/~tege/repunit.html
https://repunit-koide.jimdo.com/...
Forum: sweety439 2020-11-26, 16:20
Replies: 82
Views: 5,969
Posted By sweety439
Update the sieve files for the "minimal primes...

Update the sieve files for the "minimal primes problem" in base 36
Forum: sweety439 2020-11-26, 04:41
Replies: 82
Views: 5,969
Posted By sweety439
There are still these families: *...

There are still these families:

* x:{0}:(69-x):y:49 (both x and y are divisible by 7)
* x:{0}:y:(69-x):49 (both x and y are divisible by 7)
* 46:46:{42}:49
* x:46:{42}:49 (x is divisible by 7)...
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