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David Loeffler
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According to the 2007 survey of HarmonDarmon, Diamond, and Taylor, in 1985 "Fermat’s Last Theorem was still not known to be true for an infinite set of prime exponents". [Note: I found this paper using ChatGPT. Normally I would have found it using a simple Google search, but with the advent of AI searching that way has become much worse!]

I suspect that the later FLT developments pre-Wiles also did not establish infinitely many prime exponent cases, but those more familiar with the Taniyama-Shimura connection can weigh in.

According to the 2007 survey of Harmon, Diamond, and Taylor, in 1985 "Fermat’s Last Theorem was still not known to be true for an infinite set of prime exponents". [Note: I found this paper using ChatGPT. Normally I would have found it using a simple Google search, but with the advent of AI searching that way has become much worse!]

I suspect that the later FLT developments pre-Wiles also did not establish infinitely many prime exponent cases, but those more familiar with the Taniyama-Shimura connection can weigh in.

According to the 2007 survey of Darmon, Diamond, and Taylor, in 1985 "Fermat’s Last Theorem was still not known to be true for an infinite set of prime exponents". [Note: I found this paper using ChatGPT. Normally I would have found it using a simple Google search, but with the advent of AI searching that way has become much worse!]

I suspect that the later FLT developments pre-Wiles also did not establish infinitely many prime exponent cases, but those more familiar with the Taniyama-Shimura connection can weigh in.

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Pace Nielsen
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According to the 2007 survey of Harmon, Diamond, and Taylor, in 1985 "Fermat’s Last Theorem was still not known to be true for an infinite set of prime exponents". [Note: I found this paper using ChatGPT. Normally I would have found it using a simple Google search, but with the advent of AI searching that way has become much worse!]

I suspect that the later FLT developments pre-Wiles also did not establish infinitely many prime exponent cases, but those more familiar with the Taniyama-Shimura connection can weigh in.