Uniform lcm corridor conjecture
For each integer k⩾3k\geqslant3k⩾3, define binary blocks … with lengths ℓa=∣ak∣=2k\ell_a=|a_k|=2kℓa=∣ak∣=2k and ℓb=∣bk∣=2k+2\ell_b=|b_k|=2k+2ℓb=∣bk∣=2k+2, and let Pk={ak,bk}P_k=\{a_k,b_k\}Pk={ak,bk}. The quantity LPkL_{P_k}LPk denotes the relevan…