Hi again Maple community, and others,

want to share
tiwn_and_cousin_prime_numbers.mw
tiwn_and_cousin_prime_numbers.pdf
(spelling error in file name)

~

just want to share,
some successful code

The lesser of the twin primes are listed
{3,5,11,17,29,41,59,71}
https://oeis.org/A001359
Prime numbers p such that p+2 is also a prime number

also, the lesser of the cousin primes are listed
{3,7,13,19,37,43,67,79,97}
https://oeis.org/A023200
prime numbers p such that p+4 is also a prime number

good fun

also, my webpage has more details
https://mattanderson.fun
okay

regards,
Matt

Hi Maple community, and others,
 

on the net, go to 
https://mattanderson.fun
scroll down, to the yellow counter
(count over three thousand, as of May 2026)
see the clickable link, labeled
How to find prime constellations (with a computer)

click it

also, notice, the link below
Result prime constellations (on net)

You can do what I did
(a bigger database is so much the better)

(( it may come in handy , some day ))

regards,

Matt

Hi again   Maple community,

Here are two files

4_tuple_smallest_member.mw

4_tuple_smallest_member.pdf

4 tuple,
of the form
p,p+2,p+6,p+8
where all of these four are prime numbers

{5,11,101,191,821,1481}

online, for years, I helped, at
https://oeis.org/A007530

regards,
Matt

Hi again Maple community,

a sequence that has been onine for more than ten years,
by the way,
All prime numbers, greater than three, have the form {1 or 5} modulo 6.

a certain list of 3 tuple
of prime numbers
smallest member

where p,p+4 and p+6
are all prime numbers

{7,13,37,67,97, ... }

online, for 11 years,  at
https://oeis.org/A022005
good stuff
regards,

Matt

PS 3_tuple_admissible_example_again.mw
PPS 3_tuple_admissible_example_again.pdf

more available at https://mattanderson.fun

:-)

Hi again all,
Greetings from Keizer, Oregon, USA
It has been conjectured that there are infinitely many 
prime number pairs
such that both p and p+2 are prime numbers

Here is some simple minded Maple code that creates a numerical list
enjoy
twin_prime_number_pairs.mw
 twin_prime_number_pairs.pdf

best regards,
Matt