Private key recovery?

Question

I've seen many peoples are actually recovering their private keys using signatures pub key r s z values etc , anyway , I've found a way to recover it but using transaction hex i can't found the identical R value , is there any other way to recover it from r s z ? or is it possible to recover any private key using random R values ? I have tried this method , In my case the values of R are different , this method is just for example having same/identical R value. ;

def inverse_mod( a, m ):
    """Inverse of a mod m."""
    if a < 0 or m <= a: a = a % m
    # From Ferguson and Schneier, roughly:
    c, d = a, m
    uc, vc, ud, vd = 1, 0, 0, 1
    while c != 0:
        q, c, d = divmod( d, c ) + ( c, )
        uc, vc, ud, vd = ud - q*uc, vd - q*vc, uc, vc

    # At this point, d is the GCD, and ud*a+vd*m = d.
    # If d == 1, this means that ud is a inverse.
    assert d == 1
    if ud > 0: return ud
    else: return ud + m


def derivate_privkey(p, r, s1, s2, hash1, hash2):
    z = hash1 - hash2
    s = s1 - s2
    r_inv = inverse_mod(r, p)
    s_inv = inverse_mod(s, p)
    k = (z * s_inv) % p
    d = (r_inv * (s1 * k - hash1)) % p
    return d, k

p  = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141

# this case is right
public_key=0x04dbd0c61532279cf72981c3584fc32216e0127699635c2789f549e0730c059b81ae133016a69c21e23f1859a95f06d52b7bf149a8f2fe4e8535c8a829b449c5ff
r =0xd47ce4c025c35ec440bc81d99834a624875161a26bf56ef7fdc0f5d52f843ad1
s1=0x44e1ff2dfd8102cf7a47c21d5c9fd5701610d04953c6836596b4fe9dd2f53e3e
s2=0x9a5f1c75e461d7ceb1cf3cab9013eb2dc85b6d0da8c3c6e27e3a5a5b3faa5bab
z1=0xc0e2d0a89a348de88fda08211c70d1d7e52ccef2eb9459911bf977d587784c6e
z2=0x17b0f41c8c337ac1e18c98759e83a8cccbc368dd9d89e5f03cb633c265fd0ddc
print "private:%x\n random:%x" % derivate_privkey(p,r,s1,s2,z1,z2)
print

# this case can be wrong
public_key=0x02a50eb66887d03fe186b608f477d99bc7631c56e64bb3af7dc97e71b917c5b364
r =0x0861cce1da15fc2dd79f1164c4f7b3e6c1526e7e8d85716578689ca9a5dc349d
s1=0x6cf26e2776f7c94cafcee05cc810471ddca16fa864d13d57bee1c06ce39a3188
s2=0x4ba75bdda43b3aab84b895cfd9ef13a477182657faaf286a7b0d25f0cb9a7de2
z1=0x01b125d18422cdfa7b153f5bcf5b01927cf59791d1d9810009c70cd37b14f4e6
z2=0x339ff7b1ced3a45c988b3e4e239ea745db3b2b3fda6208134691bd2e4a37d6e1

print "private:%x\n random:%x" % derivate_privkey(p,r,s1,s2,z1,z2) 

Answer 1

is there any other way to recover it from r s z ?

What is the purpose of private key, if anyone would be able to recover it from other data?

is it possible to recover any private key using random R values ?

the probability is the same as trying random values for guessing private key itself