Jason Weisman
@jlw12.bsky.social
#thisweeksfiddler
I hit on the below 6x6 prime magic square but unable to find an 8x8. Interested if anyone hit on an 8x8 or larger one...
337 367 307 421 241 353
293 331 383 271 317 431
389 281 347 359 439 211
401 167 313 349 647 149
233 311 17 487 379 599
373 569 659 139 3 283 #thisweeksfiddler
Miles Probability
3 17/256
3.5 32/256
4 24.75/256
4.5 72/256
5 9.1875/256
5.5 33/256
6 20.0625/256
6.5 48/256
Avg = 3*17/256+3.5*32/256+4*(24+3/4)/256+4.5*72/256+5*(9+3/16)/256+5.5*33/256+6*(20+1/16)/256+6.5*48/256
= 19933/4096 ~ 4.8665 miles #ThisWeeksFiddler
EC: W= $90 cash with 50% likelihood from the outset.
First bet the entire $55 on one side. This has 50% probability of winning $55 cash while retaining the $55 of vouchers.
After winning use the same strategy as in Part 1 to add $35 or more cash guaranteed. #ThisWeeksFiddler
Arrange circles on a triangular lattice, each surrounded by six other circles.
Centers are integer linear combinations of: v1 =(1,0), v2 = (1/2, sqrt(3)/2).
Avg area contributed by each surrounded circle = sqrt(3)/2
For large N, min area of region is ~ sqrt(3)/2 N 
