Observation on the numbers 4p^2+2p+1 where p and 2p-1 are primes

In this paper I observe that many numbers of the form 4*p^2 + 2*p + 1, where p and 2*p – 1 are odd primes, meet one of the following three conditions: (i) they are primes; (ii) they are equal to d*Q, where d is the least prime factor and Q the product of the others, and Q = (n*d – n + m)/m; (iii) they are equal to d*Q, where d is the least prime factor and Q the product of the others, and Q = (n*d + n - m)/m, and I make few related notes.