Titanic Sophie Germain Prime/Mistake 2

Source Work

 * The Dictionary
 * $39,051 \times 2^{6001} - 1$
 * $39,051 \times 2^{6001} - 1$

Mistake

 * The largest known Sophie Germain prime.

This entry is misplaced in the dictionary.

It comes between:


 * $10^{641} \times \paren {10^{640} - 1} / 9 + 1 \qquad \qquad$ [$1281$ digits]

and:


 * $2^{4253} - 1 \qquad \qquad$ [$1281$ digits]

but itself has $1812$ digits, and so should come after $2^{4253} - 1$.