Friday, October 16

A senior moment

My first waking hours as an official senior citizen did not go well. Having taken Bodie for his morning walk, I was crossing the street intent on depositing his poop bag into the Denison Park garbage container across from the cemetery. I kept a wary eye on the cemetery because a dog that does not like Bodie was in there. That was a mistake. Somehow I failed to negotiate the curb and ended up face-down on the sidewalk. My camera took a hit but there was no significant damage: a small crack on the lens housing is all. My right knee seems to have borne the brunt of it.

My third Leyland prime find

13350^9739 + 9739^13350 is prime! This one falls into the same smallish gap (between two previously-known primes) as my second find.

Saturday, October 3

My first Leyland prime find

Back in May when I wrote my Indexing the Leyland primes I saw an opportunity to discover some of my own Leyland primes simply by looking where no one else was. My plan was to first check the gaps between the smallest 954 known Leyland primes in order to verify that these gaps contained no additional primes. That process is ongoing. Somewhat bored with the tedium, about a month ago I also started checking some small gaps beyond Leyland prime #954. That search has now borne fruit: 13739^4600 + 4600^13739 is prime!