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In this paper, we report analysis, design, and numerical modeling of mid-infrared supercontinuum generation across 2-15 μm molecular “fingerprint region” using a new design of triangular-core graded-index photonic crystal fiber (PCF) pumped with 50 fs laser pulses of peak power of 3.5 kW at 4.1 μm. Proposed PCF design offers the nonlinear coefficient as high as 1944 W ^-1 · Km ^-1 at pump wavelength. To the best of our knowledge, the supercontinuum in PCF with such broadband spectra has been reported first time. Proposed PCF design has potential applications in gas sensing, food quality control, and early cancer diagnostics.