9,412, 343,607, 359,262, 946,971, 172,136, 294,514, 357,528, 981,378, 983,082, 541,347, 532,211, 942,640, 121,301, 590,698, 634,089, 611,468, 911,681/Historical Note

Historical Note on $9 \, 412 \, 343 \, 607 \, 359 \, 262 \, 946 \, 971 \, 172 \, 136 \, 294 \, 514 \, 357 \, 528 \, 981 \, 378 \, 983 \, 082 \, 541 \, 347 \, 532 \, 211 \, 942 \, 640 \, 121 \, 301 \, 590 \, 698 \, 634 \, 089 \, 611 \, 468 \, 911 \, 681$

This was the first $100$-digit number which was factorised using a general-purpose factorisation algorithm, which was not designed to exploit any special properties of the number under investigation, nor did it use probabilitistic measures.

According to David Wells in his $1997$ work Curious and Interesting Numbers, 2nd ed., this was achieved on $12$th October $1988$ by Arjen Klaas Lenstra and Mark Steven Manasse.

However, this has not yet been fully corroborated, and needs to be confirmed.

Sources

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

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $\paren {11^{104} + 1} / \paren {11^8 + 1}$