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Forum: sweety439 2020-11-29, 09:23
Replies: 75
Views: 5,798
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: 75
Views: 5,798
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: 75
Views: 5,798
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: 75
Views: 5,798
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: 75
Views: 5,798
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: 75
Views: 5,798
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: 75
Views: 5,798
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: 13,549
Posted By sweety439
Update files for unique primes

Update files for unique primes
Forum: Miscellaneous Math 2020-11-27, 05:57
Replies: 15
Views: 230
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: 522
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: 522
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: 522
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: 522
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: 522
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: 522
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: 75
Views: 5,798
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: 75
Views: 5,798
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)...
Forum: sweety439 2020-11-26, 04:36
Replies: 75
Views: 5,798
Posted By sweety439
Other possible such simple families: (since...

Other possible such simple families: (since x:0:(69-x):49 has trivial factor of 59)

x:{0}:(69-x):(69-x):49


14,3225349
21,176989
28,47394646445260800000000000150109
35,250489
42,32659298869
Forum: sweety439 2020-11-26, 04:25
Replies: 75
Views: 5,798
Posted By sweety439
minimal primes in base 60 up to 2^32...

minimal primes in base 60 up to 2^32 (https://raw.githubusercontent.com/xayahrainie4793/primes/master/kernel60.txt)
Forum: sweety439 2020-11-26, 04:18
Replies: 75
Views: 5,798
Posted By sweety439
14:{0}:x:49 ...

14:{0}:x:49


1,24253982091278071092686802139899494400000000000000000000000000000000000000000109
2,1009
3,1069
4,1129
5,3024349
6,1249
8,50929
Forum: sweety439 2020-11-26, 02:41
Replies: 75
Views: 5,798
Posted By sweety439
Other possible such simple families: ...

Other possible such simple families:

10:10:{0}:49

prime is 2196049

58:58:{0}:1

prime is 212281
Forum: sweety439 2020-11-26, 02:39
Replies: 75
Views: 5,798
Posted By sweety439
{49}:x:49 1,176509 2,10760569 ...

{49}:x:49


1,176509
2,10760569
3,176629
4,645800689
5,1807836177355932200749
6,176809
8,8369611932200929
Forum: sweety439 2020-11-26, 02:35
Replies: 75
Views: 5,798
Posted By sweety439
x:{14}:49 1,109 2,8089 3,229 ...

x:{14}:49


1,109
2,8089
3,229
4,15289
5,349
6,409
8,1779289
Forum: sweety439 2020-11-26, 02:28
Replies: 75
Views: 5,798
Posted By sweety439
Smallest prime in given simple family in base 60:...

Smallest prime in given simple family in base 60:

{x}:1


1,61
2,7321
3,181
4,241
5,18301
Forum: sweety439 2020-11-26, 02:23
Replies: 75
Views: 5,798
Posted By sweety439
46:{42}:49 family has trivial factor of 53, thus...

46:{42}:49 family has trivial factor of 53, thus not need to be checked.

Also checked these families:

* 10:10:{0}:49
* 10:x:{0}:49 (x = 14, 21, 28, 35, 42, 49)
* x:10:{0}:49 (x = 14, 21, 28,...
Showing results 1 to 25 of 1000

 
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