Hello all,

I must be overlooking something, but I wonder if the systems $\Psi:\mathbb{Z}^d\rightarrow \mathbb{Z}^t$ in the Green-Tao paper "Linear Equations in Primes" could apply to this question. For $d$ digit primes of the form mentioned in the question, this would be a system $$ \Psi(n_1,n_2,\dots,n_d) = (n_1+10n_2+\dots+10^{d-1}n_d, n_d + 10n_{d-1}+\dots+10^{d-1}n_1). $$

Maybe I overlooked something?

Hello all,

I must be overlooking something, but I wonder if the systems $\Psi:\mathbb{Z}^d\rightarrow \mathbb{Z}^t$ in the Green-Tao paper "Linear Equations in Primes" could apply to this question.