#Seamo X past question

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minor isle
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Find the last 4 digits of 7¹⁴⁴
I've tried looking for a pattern and using mod and dug up nothing. So far the patterns I've uncovered are for the last 2 digits:
Last digit: 7 9 3 1 (Repeat)
2nd to last digit: 0 0 4 4 (Repeat)

tawny steepleBOT