Can't think of anything off the top of my head, and David

Wells's "Curious and Interesting Numbers" does not have an entry.

According to Chris Caldwell's Prime Curios

1087 is a prime factor of the 32nd Lucas number (the first such

number with index of form 2^n that is composite).

The largest known number such that (10000^n+1)/10001 is probably

prime.

Perhaps we should try and find another half a dozen new members, then

we are 1093. Wells's entry for 1093 is a bit more interesting:

"2^1092 - 1 is divisible by 1093. Only one other number is known

below 4 * 10^12 with this property, 3511.

In 1909 Wieferich created a sensation by proving that if Fermat's

equation, x^p + y^p = z^p, has a solution in whih p is an odd prime

that does notr divide any of x, y or z, then 2^(p-1) - 1 is divisible

by p^2. As facts about Fermat's last theorem go, this is remarkably

simple. That 1093 and 3511 are the only solutions below 4 * 10^12

means that only these two cases of Fermat's theorem need to be

considered, below that limit, of p does not divide xyz."

Douglas Chester

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