20060223, 21:40  #1 
Jan 2005
Transdniestr
503 Posts 
Primorial Sequence Question
Hello folks,
Sorry in advance for referring back to the Prime Puzzles website (specifically this week's puzzle: http://www.primepuzzles.net/puzzles/puzz_350.htm) In short, the puzzle is: For each q=>2, find the smallest prime p such that p>q# & (pr#) is prime for all prime r<=q. Actually, I wrote something in PARI for this and have extended the table through p=37 but I was wondering if anyone had heard of prior work on this sequence. I did a cursory check of the Integer Sequences site but couldn't find this one. To be honest, I'd be a little surprised if no one has worked on this curio before. The numbers are involved are tiny, relatively speaking. Thanks, Grandpa Last fiddled with by grandpascorpion on 20060223 at 21:43 
20060224, 01:59  #2 
Jun 2003
2^{3}×197 Posts 
GS, if you find a case for q=101, don't you eliminate all numbers below it?

20060224, 15:01  #3 
Jan 2005
Transdniestr
1F7_{16} Posts 
Smallest prime
The puzzles asks for the smallest prime for each prime q.
The answer for q=101 would almost certainly be larger then q=97 or less. 
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