Powers of 102?

Let A=1021,1022,1023,A={102^1, 102^2, 102^3, \cdots}. How many primes pp are there such that AA has at least one element aa such that a1 (mod p)a \equiv -1 \text{ (mod p)}?

For example, one such prime is 103103, because 10211 (mod 103)102^1 \equiv -1 \text{ (mod 103)}.

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