The number of ways a number is a sum of consecutive primes
Jelly,  6  5 bytes
-1 thanks to dylnan
ÆRẆ§ċ

A monadic link
Try it online! Or see the test-suite (note the final test case would time out at 60s at TIO).
How?
ÆRẆ§ċ - Link: integer, n
ÆR    - primes from 2 to n inclusive
  Ẇ   - all contiguous substrings
   §  - sum each
    ċ - count occurrences of n