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Submission + - Primes cycle around 42n? I need answers.

Cogent91 writes: "For all it's curiosity, the number 42 remains an honest mystery. From ancient Buddhists to Douglas Adams, it's held a significant place for ages. But why?

Some years ago I came across a pattern in that 42n plus individually the primes from 1 to 41 and also 25 creates a list of all possible primes. It's seemingly simple, but I've never found a single academic reference to this pattern. I've also checked it with scripts to several million primes, no exceptions.

What is it that makes that limited range hold true for all prime numbers? And is there an academic significance for this? I've been asking for years, but I'd love Slashdot's help in finally getting this answered!

After n=0, the relevant base is 1,5,11,13,17,19,23,25,29,31,37,41. 2,3, & 7 never repeat. Also, pushed into binaries it makes a great way to compress arbitrarily large primes! The programmer in me wonders about that trait's usefulness to cryptography..."

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