Olympiad Maths Prep

Track / Stage 4 / 39 of 340 #299 of 2000

Problem 299

AMC 12 late, AIME early
Number theory Difficulty 4.6 Find the answer

1. pp is a prime number, and p6+3p^{6}+3 is also a prime number. Then p11p^{11}
52= -52=

Official solution

1.19961.1996

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.