Numbering I do not understand

Why do

Korabl-Sputnik 5

Корабль-Спутник 3

Ship-Satellite 3

Vostok-3KA No.2

And

Sputnik 10

All refer to the same space mission?

SOVIET RUSSIAN RKA, I LOVE YOU BUT YOU CONFUSE ME SO MUCH WITH YOUR REDUNDANT/CONTRADICTORY NUMBERING SCHEMES.