[P] **How to find valid bases for pseudoprimes in Z(i)** by akdevaraj Aug 24We can use pari. There is another way: Take a known base for
pseudoprimality of a composite number. Split it into
two parts such that one part is exactly divisible by one or more
prime factors of the given composite number and the other is
exactly divisible by the remaining prime factor/s. Let any one of
the two parts be the real and the other be the coefficient
of i in the complex base. Example: 29 is a base for pseudo
-primality of 105 in Z. 29 can be split into two parts
14 and 15. 14 is divisible by 7 and 15 is divisible
by 3 and 5. Hence 14 + 15i and 15 + 14i are valid bases in Z(i).
Needless to say conjugates of these two are also valid bases.

[P] **Using pari to find valid bases for pseudoprimes(contd)** by akdevaraj Aug 23I was looking for something predictable in finding valid
bases for pseudoprimality of 105. Happy to say that I
succeeded: starting from 41, 41 + 21*k, where k belongs to
N are valid bases; exceptions - integers ending with
0 or 5. Needless to say there are bases other than these.

[P] **Using pari to find valid bases for pseudoprimes(contd)** by akdevaraj Aug 21In Z(i) (20 + 21*i) and (21 + 20*i) are valid bases for pseudoprimality
of 105. Needless to say their conjugates are also valid bases.

[P] **Using pari to find valid bases for pseudoprimes(contd)** by akdevaraj Aug 21Not only 29, but also 41, 43, 62, 64, 71, 76, 83, 92, 97 and 104
are valid bases for pseudoprimality of 105.

[P] **Search facility** by akdevaraj Aug 18Perhaps bc1 can help administration to restore the search
facility.

[P] **Search facility** by akdevaraj Aug 18Perhaps bc1 can help administration to restore the search
facility.

[P] **Search facility** by akdevaraj Aug 18Perhaps bc1 can help administration to restore the search
facility.

[P] **Using pari to find valid bases for pseudoprimes** by akdevaraj Aug 18Supposing we wish to find the base for which 77 is
a pseudoprime we can use pari. The programme: {p(n)
=(n^76-1)/77}
for(n=1, 60,print (p(n))). Thus I found that 34 is
a valid base for pseudoprimality of 77.

[P] **Wanted: volunteer to make following entry** by akdevaraj Aug 18Would be glad if some member would volunteer
to make the following entry in maths encyclopedia:
Mangammal primes: These are the impossible prime
factors of (3^n - 2). see A 123239 in OEIS. This is
a corollary of Ëuler's generalisation of Fermat's theore-
a further generalisation (ISSN 1550-3747 ).

[P] **Wanted: volunteer to make following entry** by akdevaraj Aug 17Would be glad if some member would volunteer
to make the following entry in maths encyclopedia:
Mangammal primes: These are the impossible prime
factors of (3^n - 2). see A 123239 in OEIS. This is
a corollary of Ëuler's generalisation of Fermat's theore-
a further generalisation (ISSN 1550-3747 ).

[P] **Wanted: volunteer to make following entry** by akdevaraj Aug 17Would be glad if some member would volunteer
to make the following entry in maths encyclopedia:
Mangammal primes: These are the impossible prime
factors of (3^n - 2). see A 123239 in OEIS. This is
a corollary of Ëuler's generalisation of Fermat's theore-
a further generalisation (ISSN 1550-3747 ).

[P] **Wanted: volunteer to make following entry** by akdevaraj Aug 17Would be glad if some member would volunteer
to make the following entry in maths encyclopedia:
Mangammal primes: These are the impossible prime
factors of (3^n - 2). see A 123239 in OEIS. This is
a corollary of Ëuler's generalisation of Fermat's theore-
a further generalisation (ISSN 1550-3747 ).

[P] **Wanted: volunteer to make following entry** by akdevaraj Aug 17Would be glad if some member would volunteer
to make the following entry in maths encyclopedia:
Mangammal primes: These are the impossible prime
factors of (3^n - 2). see A 123239 in OEIS. This is
a corollary of Ëuler's generalisation of Fermat's theore-
a further generalisation (ISSN 1550-3747 ).

[P] **Wanted: volunteer to make following entry** by akdevaraj Aug 17Would be glad if some member would volunteer
to make the following entry in maths encyclopedia:
Mangammal primes: These are the impossible prime
factors of (3^n - 2). see A 123239 in OEIS. This is
a corollary of Ëuler's generalisation of Fermat's theore-
a further generalisation (ISSN 1550-3747 ).