Publisher alfred nutt published a boy's will in 1913 and north of boston in 1914. is a fragment

Not a fragment.

Explanation:

Group of words which apparently look like sentences but actually are not are called fragments or sentence fragments.

These fragments need at least one independent clause to become a complete sentence. An independent clause is a group of words which consists of both a subject and a verb and can stand on its own.

'Publisher Alfred Nutt published A Boy's Will in 1913 and North of Boston in 1914.' is not a fragment but an independent clause because it has a subject and verb and makes complete sense on its own.

"prior to 1910, these new artists were called neo-impressionists, and they believed that "modern paris" was the proper subject for their paintings."

this is the text provided by the program, disregard other answers, as they are confusing and based on loose knowledge of the subject.   : )