Titanic Prime whose Digits are all Prime/Mistake

Source Work

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

The Dictionary

$7532 \times \paren {10^{1104} - 1} / \paren {10^4 - 1} + 1$

Mistake

$7532 \times \paren {10^{1104} - 1} / \paren {10^4 - 1} + 1 \qquad \qquad$ [$1104$ digits]

Correction

This was transcribed incorrectly at some point in the chain of reports.

The number given is composite, and has $6043$ as a divisor.

The correct number appears to be:

$7352 \times \dfrac {10^{1104} - 1} {10^4 - 1} + 1$

which is indeed prime

Paulo Ribenboim misreports it in a $1994$ article, and it is likely (but has not been confirmed) that he made the mistake in his $1989$ book, which contains the same factoid.

This conclusion follows from the fact that Wells, propagating this mistake, references the book, but this has not been corroborated.

The original work by Harvey Dubner, in which this number is first reported, is still to be tracked down.

Sources

• 1989: Paulo Ribenboim: The Book of Prime Number Records (2nd ed.)
• Sep. 1994: Paulo Ribenboim: Prime Number Records (College Math. J. Vol. 25, no. 4: pp. 280 – 290)  www.jstor.org/stable/2687612
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $7532 \times \paren {10^{1104} - 1} / \paren {10^4 - 1} + 1$