Help with ID on two specimens

Hoping someone can put a name on these. The red flowered specimen stands about 60cm tall. The whitish specimen I assume is mammillaria ...does anyone know species?  Thanks

First one looks like mammillaria hahniana. Second one is interesting. I would say it is either an echinopsis species or neoporteria. I would lean more towards an echinopsis but thats just because that genus is huge and diverse so the odds are higher than the other genus.

Certainly worth researching those two.

*Revised*

I would stick with echinopsis. Neoporteria looks similar but the flower structure is different.

I had also thought Echinopsis...originally E. cinnabarina  but the taller size, rather than globular didn't fit the descriptions that I read.