lowercase q

Relation ‘lowercase q’ in group 1+(-1+2^t)*(2^(t+1))

23∗(1+2∗t)≡−1+24∗(1+2∗t)−t2^{3*(1+2*t)} ≡ -1+2^{4*(1+2*t)-t}

For t=11 set N (composite)

 8380418

For t=23 group P

 140737454800898

For t=39 group P

 604462909805115564097538
calculation of mod showing numeric output
lowercase ‘q’ – showing identical