The introduction of the novel Tietken-Castell-Prime-Algorithm in order to definitely and correctly identifying and generating prime numbers of unlimited size in an indirect.

Our essays 1 to 11 describe the applicable Castell-Fact-Algorithm, which factorizes large integers, was ignored and rejected by economy and politics.

Innovations concerning data protection and security seem not to be in great demand by neither the NSA, nor by Facebook & Co.

In the following essay part 12, we introduce the

Tietken-Castell-Prime-Algorithm, which is able to indirectly

a) produce prime numbers

b) identify prime numbers,

c) and which is suitable for the factoring of large numbers (composed of prime numbers) after creating a comprehensive registry of numbers.