If you want 13P you do
2P = P + P
4P = 2P + 2P
8P = 4P + 4P
12P = 8P + 4P
13P = 12P + P
To use this for encryption you do a Diffie-Hellman operation, where A and B pick secrets a and b, send each other a x G and b x G, and compute the shared secret a x b x G = b x a x G. (Where G is a standard point.)
You can call "b x G" the public key and do ephemeral-static DH if you are not doing a key exchange between two online peers.