20210423, 21:56  #1 
Dec 2008
you know...around...
1217_{8} Posts 
A prime number "game of life": can floor(y*p#) always be prime?
An old pet project of mine, revamped.
If it's in any way possible I would like to turn this into a fullyfledged arXiv paper, so any suggestion on how to proceed with the work in the attachment is highly appreciated. "In this paper, the author discusses the existence of a real number y such that q = \(\lfloor\)p#*y\(\rfloor\) is a prime number for every p \(\geq\) 2." You may berate me for any technical or formal errors or glitches, obsolete or false statements, inappropriate verbiage or lack thereof, or for opening a new thread (in my defense: this time with a fitting title, and gravedigging is considered rude just as well)  but remember that beraten in German means to discuss or give advice. 
20210424, 20:40  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
24F7_{16} Posts 

20210424, 21:59  #3 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{2}×13×113 Posts 
It would be nice to see a version of table 7 with primes removed if their branch has terminated in a future iteration(numbers should be monotone increasing in this case).
It is a shame that the branching rate seems to increase as the numbers get larger. 
20210425, 09:42  #4  
Dec 2008
you know...around...
5×131 Posts 
Quote:
It would definitely be more of a discovery if there was a unique solution for a surviving branch. 

20210425, 17:14  #5 
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
24744_{8} Posts 

20210514, 16:30  #6  
Dec 2008
you know...around...
5×131 Posts 
Wuthering heights
Quote:
I let one laptop crunch the numbers en passant, and plan to reach level 1931 by mid June. I wouldn't go that far if it wasn't just to fill the rightmost columns. Plus I'd also like to find a prime with ten descendants (cf. page 18 of PDF in OP). I believe I spider... 

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