New quintuplet - Page 2

Batalov · 2020-11-12, 21:13

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.

Puzzle-Peter · 2020-11-13, 11:24

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.

Batalov · 2020-11-13, 20:34

Yes

Puzzle-Peter · 2021-02-08, 16:53

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

2020-11-12, 21:13	#12
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2475₁₆ Posts	I submit that kp#/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, 20:34	#14
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3²×17×61 Posts	Yes

2021-02-08, 16:53	#15
Puzzle-Peter Jun 2009 683 Posts	I just realised my record did not survive long. Congratulations!