Library / /172 of 175

, 2026

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Sam is asked to write $2026$ as the sum of a list of five different primes. How many possibilities are there for the smallest prime in Sam’s list?

(A) one (B) two (C) three (D) four (E) more than four

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.