Titanic Sophie Germain Prime/Mistake 2

Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary

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

Mistake

The largest known Sophie Germain prime.

This entry is misplaced in the dictionary.

It comes between:

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

and:

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

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

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $39,051 \times 2^{6001} - 1$