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 [I]deeper [/I]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. :rolleyes:

[QUOTE=Batalov;563030](+8 or -8; ...and who knows, lottery is cruel -- maybe even both). [/QUOTE]


Oh the cruelty! :lol:


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.

[URL="https://primes.utm.edu/primes/page.php?id=131448"]Yes[/URL]

I just realised my record did not survive long. Congratulations!