A127176 Primes with prime "Look And Say" descriptions from left to right (irrespective of method A or method B).
3, 7, 17, 23, 113, 137, 193, 271, 431, 479, 587, 691, 757, 809, 829, 1009, 1123, 1181, 1459, 2089, 2111, 2131, 2243, 2273, 2473, 2617, 2671, 3067, 3169, 3607, 3697, 4567, 4603, 5059, 5407, 5749, 6007, 6037, 6449, 6607, 6673, 7207, 7669, 7927, 8089, 8849
Offset: 1
Examples
137 and 1123, for instance, belong to the sequence because their respective descriptions 111317 (one 1, one 3, one 7) or 113171 (1 once, 3 once 7 once) and 211213 (two 1's, one 2, one 3) or 122131 (1 twice, 2 once, 3 once) are all primes.
Extensions
Corrected and extended by Ray Chandler, Jan 08 2007