20230318, 21:22  #1 
May 2003
402_{8} Posts 
squarewise concatanation for the win
1225172265625 is a lovely number
1 is a square 225 is a square put them together, and 1225 is a square 72265625 is a square put it together with what came before, and you get 122572265625 which is a square I don't know where I'm going with this, but I'm sure you guys can have fun. (oh, 4 and 9 have even shorter paths, but ones I've not probed as deeply) 
20230319, 13:12  #2  
Feb 2017
Nowhere
2^{2}·3·17·31 Posts 
Quote:
Quote:
Code:
? print(factor(72265625)) [5, 9; 37, 1] Quote:
Code:
? print(factor(122572265625)) [3, 2; 5, 9; 19, 1; 367, 1] 

20230319, 13:54  #3  
May 2003
2·3·43 Posts 
Quote:
? factor(172265625) [3 2] [5 8] [7 2] ? factor(1225172265625) [ 5 8] [ 7 2] [11 2] [23 2] 

20230319, 14:21  #4  
May 2003
100000010_{2} Posts 
Quote:
4 > 49 > 49729 > 4972922562328439750054749703581033600295913998934338451363146305084228515625 9 > 950625 > 95062561096409435940120435784167300872787977524634772310552222052137949503958225250244140625 
