An integrated semiconductor memory includes a memory cell array with at least one memory cell, in which a data value is stored, and an evaluation circuit with a counter. During a test of the integrated semiconductor memory, a counter reading of the counter is altered if the data value stored in the memory cell deviates from a desired value. A threshold value is predefined by a control circuit. A programming circuit compares the threshold value on the input side with the instantaneous counter reading of the counter. If the counter reading of the counter exceeds the threshold value, a programming element changes from a first programming state to a second programming state. After the conclusion of the test, the state of the programming element is read out via an output terminal. This scheme makes it possible to deduce a possible cause of failure of the integrated semiconductor memory.