I know that there exist some attack when using same modulus.
Can two different pairs of RSA key have the same modulus?
RSA cracking: The same message is sent to two different people problem
But with a little modification,
$m$ is the plain-text
$N$ is the RSA modulus
$r_1, r_2$ is the random padding
$e, s$ is the public exponent
$C_e, C_s$ is the cipher-text
encrypt as follow $$С_e = (m + r_1)^e \bmod N$$ $$С_s = (m + r_2)^s \bmod N$$
If attacker only knows $C_e, C_s, r_1, r_2, e, s, N$.
Is it possible to know $m$?
It seems the RSA cracking: The same message is sent to two different people problem does not work?
$a$,$b$,$c$...which looks a bit strange but rather
$a,b,c,..$which looks more consistent. If you don't like my edits or they changed the meaning of the question you can either edit again (lower left corner) or roll my edits back by clicking on the "edited ... ago". $\endgroup$