Problems & Puzzles: Puzzles
Puzzle 254. Z=P2 - Q2
Someone self-named 'King' has been submitting to the well know site maintained by Caldwell and Honaker (Prime Curios!), several entries about the same issue: numbers expressible, in K ways, as a difference of the square of consecutive primes.
As a matter of fact 'he' has obtained the earliest Z values for the first four K cases: 5, 72, 1848 and 4920.
Using a smart approach you should be able to get larger entries, like the fifth member of the sequence, obtained by me in some few minutes using a simple code: 187117320.
K=5, Z= 187117320
Q. Find three more entries for this sequence.
J. C. Rosa wrote (Feb. 2004)
Later (April 2004) he added again: