During a lunch the other day we spoke about the number 41 (which happens to my age (actually today I am turning 41)) and that it is a prime number.
Rikard pointed out that 41 is not Mersenne primes number, so it seemed to us that 41 is just another ‘boring’ prime. But then Greg pointed out that 41 is equal to 42-1. 42 is a really interesting number, since according to Douglas Adams (author of The Hitchhiker’s Guide to the Galaxy) 42 is the answer to….. (well, read the hitchhiker’s guide and you’ll find out). So 41 must be an interesting prime after all. So given the way we name some prime numbers Mersenne we should name all the prime numbers that can be written as 42-1 an Adams prime number.
Now we need to find if there are an infinite number of Adams prime numbers…..