Cryptogram in hexadecimal #1

Logic Level 2

This problem is a multiplication of two positive hexadecimal numbers giving a product. One digit is supplied (0). Hints are provided for several others. The leading digits are non-zero. Each distinct letter represents a distinct hexadecimal digit and vice versa. J is not 1. ABBAC is prime. DEFG is even. Unfortunately, the answer, the product, must be entered as a positive decimal integer result. The product in hexadecimal forms two English words, which is not needed to solve this problem.

ABBAC * DEFG == HIBHJ0HI


The answer is 3735929054.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

8AA87 × 19B2 = = DEADC0DE \text{8AA87}\times\text{19B2}==\text{DEADC0DE} .

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Great puzzle! I really like the use of "0" in the two words. Is there any way to solve this other than brute force? I narrowed down the options a bit by first finding the primes of the form "ABBAC", but there's still rather a lot of these.

Chris Lewis - 1 year, 6 months ago

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