semiprime

— Again, to be perfectly clear, we are looking for c values that produce a low density of semiprimes when employing Euler's basic polynomial but changing the c values, in the range of x=1 to 10000. Some very early standouts are: c=4 which produces 799 semiprimes; c=6 which produces 532 semiprimes; c=12 which produces only 431 semiprimes; c=18 which produces 364 semiprimes, and c=30 which produces only 320 semiprimes.

— The final part of the semiprime-semisimple analogy is given by Proposition 4.4. A ring #92;mathbf#123;R#125; is semiprime if and only if #92;mathbf#123;R#125; is isomorphic to a subdirect product of prime rings.