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Prime sums (Posted on 2023-04-19) Difficulty: 4 of 5
1 is a product of 0 primes such that every 2 positive integers that multiply to it add up to a prime.

1*1=1, 1+1=2

2 is a product of 1 prime such that every 2 positive integers that multiply to it add up to a prime.

1*2=2, 1+2=3

6=2*3 is a product of 2 primes such that every 2 positive integers that multiply to it add up to a prime.

1*6=6, 1+6=7
2*3=6, 2+3=5

30=2*3*5 is a product of 3 primes such that every 2 positive integers that multiply to it add up to a prime.

1*30=30, 1+30=31
2*15=30, 2+15=17
3*10=30, 3+10=13
5*6=30, 5+6=11

1. What is the smallest product of 4 primes such that every 2 positive integers that multiply to it add up to a prime?
2. What is the smallest product of 5 primes such that every 2 positive integers that multiply to it add up to a prime?

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: computer solutionMath Man2023-04-19 16:55:49
Solutioncomputer solutionCharlie2023-04-19 09:01:58
SolutionSolutionLarry2023-04-19 08:13:05
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