Basil A. Sidorov wrote: Personally for me both occupations

are senseless

It is repetition it (was already told), therefore and me it is necessary to repeat: it is senseless ** in itself **, but in inside (at all , namely !) it fulfills quite defined (so comprehended) function of autoregulation of frequency of origin of new units.

Precisely also, for example, are senseless (** in itself **) efforts on expansion on a factor of large integer numbers. But in the project of search of prime numbers they are absolutely necessary (I do not consider, this project) is how much comprehended.

Basil A. Sidorov wrote: for there is an accurate algorithm and who has more than computing powers at equal architecture will win. Including the architecture specially developed under a specific target.

- process probability: "wins" - on each step - the one to whom carries. But chances it is more at at whom more powerful equipment. Actually, in the "modeling" task of search of prime numbers too so: "wins" (finds each new number) not mandatory at whom the most powerful computer.

(Yes, by the way, it is possible and to say explicitly that I exist projects (and even, apparently, implementations) , in which not , namely (new) prime numbers!)

Basil A. Sidorov wrote: That compression levels each time is required or to develop algorithm of compression under specific sequence that looks a little utopian or to select a certain mythical parameter.

- "or to select... Parameter". At last we started to distinguish goal seek and the algorithm invention.

And if in process " compression levels" are invented new, more effective algorithms of compression, - so the same simply feast of spirit, direct favor for grateful Mankind!