A weakly prime number is a positive prime number whose decimal representation becomes a composite number whenever any one digit is replaced by any other decimal digit. In this definition the initial digit may be changed to 0, and the resulting string is interpreted as an integer after discarding leading zeros. The first few such numbers are 294001, 505447, 584141, 604171, 971767, 1062599, ... (OEIS A050249).
If the restriction that the initial digit may not be changed to a 0 is added, then the first few such numbers are instead 294001, 505447, 584141, 604171, 929573, 971767, 1062599, 1282529, 1524181, 2017963, 2474431, 2690201, 3070663, 3085553, ... (OEIS A158124), namely the same sequence as before plus the additional terms 929573, 3070663, 5285767, ... (OEIS A158125).
