PROOF STRATEGY

The "Kruse Super Sieve" Actually Shows That Any/All Sets Of "Qualified" And "Potentially Prime" Number Constellations (K-Tuples) Of Any Random Pattern (Like Twins) Are Already Infinite In Count From The Very First "Un-factored" Appearance Of Those Same Sets On An Infinite Number Line (Which Is The X-axis Of This Sieve) And Then This Sieve Shows That These Same Qualified Number Patterns Become Infinite Prime Number Patterns.  That Is Why The Yellow And Blue Logo On The Home Page Of This Website Is Stating: "Infinite From The Very Start".  The Proof Strategy Of This Amazing Statement Involves Using This Capable Sieve To Show That An Infinite Subset Of Each/Every One Of Those Original Infinite Sets Of Qualified Possible Prime "Un-factored" Number Patterns Avoids The Unique Prime Number Factorization Process Described In The Fundamental Theorem Of Arithmetic And Then All Of The Spatially Identical (Value Modified) Individual Number Patterns Contained Within Each One Of These Same Infinite Subsets Are Confirmed As Being Prime (One-By-One Forever) Which Builds Things Up Into An Infinite Subset Of That Particular Prime Number Pattern (Like Twins).

The Famous Twin Prime Conjecture Is Automatically Proved Because The Proof Materials Available At This Website Focus On The Traditional (Infinite) 6-Tuple Number Pattern, Beginning With The Sextuplet {7,11,13,17,19,23}, Which Has Special Qualities.  This Particular Prime 6-Tuple Number Pattern Contains The Two Embedded Prime Twin Number Patterns {11,13} And {17,19}.  All Traditional (Infinite) Prime 6-Tuple Number Patterns Contain Two Embedded (Infinite) Prime Twin Number Patterns Located Within Their Host 6-Tuple In The Same Relative Positions As {11,13} And {17,19} Are Located Within This Same Particular Prime 6-Tuple {7,11,13,17,19,23}.