A make and break threaded pipe connection capable of being screwed together and subsequently unscrewed, the threaded pipe connection comprising: a box member having an end opening, the box end opening having internal threads of a given thread length with stab flanks and load flanks and roots and crests and a mating pin member having a pin end with an outer extent and having external threads of a given thread length with stab flanks and load flanks and crest and roots, the pin member being threadedly engaged with the box member to thereby form a pipe connection; wherein the pin thread crests are cut on an axis which is parallel to the central longitudinal axis of the tubular member and wherein the thread roots are cut on a continuous tapered axis over the entire given thread length with respect to the central longitudinal axis of the tubular body, whereby the pin threads have a given thread height (h1, h2, h3, h4) which is measured between the thread crests and roots, and wherein the thread height (h1, h2, h3, h4) varies over the thread length in ever increasing increments in the direction of the pin end outer extent whereby an imaginary axis drawn in line with the continuous tapered axis extends to intersect the central longitudinal axis of the tubular member; wherein the box thread crests are oppositely cut on a continuous tapered axis which is tapered with respect to the central longitudinal axis of the tubular member over the entire given thread length, and wherein the thread roots are cut on an axis which is parallel to the central longitudinal axis of the tubular body, whereby the box threads also have a given thread height which is measured between the thread crests and roots, and wherein the thread height varies over the thread length in ever increasing increments in the direction opposite the box end opening, whereby an imaginary axis drawn in line with the continuous tapered axis extends to intersect the central longitudinal axis of the tubular member; and wherein the thread forms of the pin member and box member are designed so that the roots and crests of the pin and box ends, respectively, move into engagement during make-up of the connection, eliminating any gap between the roots and crests, in conjunction with the thread flanks moving into engagement upon make-up of the connection, thus forming a metal-to-metal seal with sealing surfaces that resist the flow of fluids between the threads. a box member having an end opening, the box end opening having internal threads of a given thread length with stab flanks and load flanks and roots and crests and a mating pin member having a pin end with an outer extent and having external threads of a given thread length with stab flanks and load flanks and crest and roots, the pin member being threadedly engaged with the box member to thereby form a pipe connection; wherein the pin thread crests are cut on an axis which is parallel to the central longitudinal axis of the tubular member and wherein the thread roots are cut on a continuous tapered axis over the entire given thread length with respect to the central longitudinal axis of the tubular body, whereby the pin threads have a given thread height (h1, h2, h3, h4) which is measured between the thread crests and roots, and wherein the thread height (h1, h2, h3, h4) varies over the thread length in ever increasing increments in the direction of the pin end outer extent whereby an imaginary axis drawn in line with the continuous tapered axis extends to intersect the central longitudinal axis of the tubular member; wherein the box thread crests are oppositely cut on a continuous tapered axis which is tapered with respect to the central longitudinal axis of the tubular member over the entire given thread length, and wherein the thread roots are cut on an axis which is parallel to the central longitudinal axis of the tubular body, whereby the box threads also have a given thread height which is measured between the thread crests and roots, and wherein the thread height varies over the thread length in ever increasing increments in the direction opposite the box end opening, whereby an imaginary axis drawn in line with the continuous tapered axis extends to intersect the central longitudinal axis of the tubular member; and wherein the thread forms of the pin member and box member are designed so that the roots and crests of the pin and box ends, respectively, move into engagement during make-up of the connection, eliminating any gap between the roots and crests, in conjunction with the thread flanks moving into engagement upon make-up of the connection, thus forming a metal-to-metal seal with sealing surfaces that resist the flow of fluids between the threads.