Slip from summer into fall. Then winter brings us cold, white days, But spring, that wonder of it all, Leads back to summer anyway.
Linked to Cosmic Photo Prompt where Dale offers the theme of “as summer fades”.
Also linked to Trent P. McDonald’s The Weekly Smile. It was raining this past week and so I worked on a puzzle in computational number theory. The challenge was to verify the 3x+1 trajectory-length records by running a different program to find them. Using Python my best time for integers under 670,617,280 had been over 700 seconds. Last week I was able to reduce that to 352 seconds. That made me smile. If I believe what others have achieved, they can do it in under a few seconds. That’s my goal unless it stops raining. Even if I get it below 10 seconds, it is about as significant as solving a 1000-piece jig-saw puzzle, but at least I will be able to verify the larger records that have been found.













