Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Sieve for Cousin Primes   A sieve is constructed for twin primes at distance 4, which are of the form
3(2m+1)+/-2, and are characterized by their twin-4 rank 2m+1. It has no parity
problem. Non-ranks are identified as all other odd numbers and counted using
odd primes p>=5. Twin-4 ranks and non-ranks make up the set of odd numbers.
Regularities of non-ranks allow gathering information on them to obtain a
Legendre-type sum for the number of twin-4 ranks. Due to considerable
cancellations in it, the asymptotic law of its main term has the expected form
and magnitude of its coefficient.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio