How to document a function returned by a function using JSDoc

I am using JSDoc for parameter documentation.

It is clear how to document the parameter types for many_prompts, but what is the right way to document the function it returns?

/**
 * @param {Number} - number of times to prompt
 * @return {Function(prompt{Number})} - the returned function
 */
function many_prompts(count) {
  return function(prompt) {
    for(var i=0; i < count; i++) alert(prompt);
  }
}


//Example of use:
var y  =many_prompts(3);
y('Hello World');

The way I prefer:

/**
 * @param {number} count - number of times to prompt
 * @returns { (prompt:string) => void } - the returned function
 */
  manyPrompts(count) {
      /**
       * My inner function
       *
       * @param {object} prompt Some parameter
       */
      const inner = function(prompt) {
        for (let i=0; i < count; i++) {
          alert(prompt);
        };
      };
      return inner;
  }