For the first question, since Sage has the prime_range() function: [p
for p in prime_range(10000) if mod(p, 8) in (1, 7)]. There are several
ways of filtering a list in Python, but I tend to choose list
comprehensions (http://en.wikipedia.org/wiki/
List_comprehension#Python)

On Jul 24, 8:24 am, raman <[email protected]> wrote:
> Hi Dears
> First I  must find all primes in the form p=8k+1 or p=8k+7 in range
> 10000.
> Second I should find the all integers a and b such that p=a^2-2b^2 in
> range 10000.
> Could you please help me for writing this  program?

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