Titanic Prime whose Digits are all 0 or 1/Historical Note

Historical Note on Titanic Prime whose Digits are all 0 or 1

According to David Wells in his Curious and Interesting Numbers, 2nd ed. of $1997$, this titanic prime was discovered by Harvey Dubner in $1984$, but this has not been corroborated.

At the time it was the largest such prime number known.

It needs to be investigated whether this record has been broken since then.

Sources

• 1989: Paulo Ribenboim: The Book of Prime Number Records (2nd ed.)

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10^{641} \times \paren {10^{640} - 1} \mathop / 9 + 1$