8 · Find the zeros with primes

The prime-built density over the heights 100 to 140, with the true zero heights marked.

Try this. Add prime powers one at a time. The smooth average knows nothing; each wave sharpens the profile, and with all ten in, the spikes stand on the marks. The primes in this page reach only up to 13.

This is the duet played in the prime-to-zero direction, the same density the paper integrates against. The tests check the alignment quantitatively, and the toy table built from it agrees with the zero-built table to about two parts in a hundred million.