# Define the modulus n and the encrypted values
n = 2955470031753586037
enc_m = 824775024880550225
enc_m_plus_1 = 1033535885078962937
# Calculate the difference delta
delta = (enc_m_plus_1 - enc_m) % n
# Define m as a variable
m = var('m')
# Check if the modular equation is solvable
eq = 3 * m^2 + 3 * m + 1 == delta
# Solve the modular equation (3 * m^2 + 3 * m + 1) % n == delta
solutions = solve(eq, m, modulus=n)
# Output the result
if solutions:
print(f"Found m: {solutions[0]}")
else:
print("Could not find m.")
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