What is the next number in the infinite series 23 57 111 317?

Answer 1

They look like the prime numbers, if you change the spacing.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 etc.

But the spacing is done so they appear as increasing numbers.

23, 57, 111, 317, 1923, 2931, 3741, etc.

Therefore, my guess is 1923.