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 2020-11-12, 21:13 #12 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 47·197 Posts I submit that k*p#/2+d (where d=+-2,+-4,+-8) has a benefit of leaving relatively dense set of odd k values, so one can sieve deeper than for other forms, with end result of finding quint faster (wall clock time). I usually sieve for 6-plet, test central quad and have double chance to hit the quint (+8 or -8; ...and who knows, lottery is cruel -- maybe even both). I do these fishing expeditions once every few years.
2020-11-13, 11:24   #13
Puzzle-Peter

Jun 2009

2A516 Posts

Quote:
 Originally Posted by Batalov (+8 or -8; ...and who knows, lottery is cruel -- maybe even both).

Oh the cruelty!

When sieving for a 6tuplet, you eliminate a lot of possible 5tuplets because +8 or -8 gets sieved out. So you probably will have to use a larger candidate range. Does it really pay off regarding wallclock time? Not counting the possibility of a cruel event of course.

 2020-11-13, 20:34 #14 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 47×197 Posts