1,238,926,361,552,897

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Number

$1 \, 238 \, 926 \, 361 \, 552 \, 897$ is:

The $n$th prime, where $n$ remains to be determined

One of the two prime factors of the $8$th Fermat number $2^{\paren {2^8} } + 1$:
$1 \, 238 \, 926 \, 361 \, 552 \, 897 = 1 \, 209 \, 889 \, 024 \, 954 \times 2^{10} + 1$