Methods for amplification and capture of nucleic acid sequences include annealing a forward primer to a DNA or RNA template in a first reaction vessel including fewer than four different dNTPs; forming an extended primer that terminates when an omitted dNTP is required for further extension; releasing the extended primer; exponentially amplifying the extended primer in a second reaction vessel that includes a reverse primer, four different dNTPs and a capture probe that includes n oligonucleotides having fewer than n locking nucleic acids; and concurrently capturing one of the extended primers with the capture probe while amplifying the extended primer. The steps of annealing, extending and releasing can occur at a first reaction temperature that is substantially isothermal and in the absence of a helicase. The steps of exponentially amplifying and capturing can occur at a second reaction temperature that is substantially isothermal.