The generalized twin prime can be formulated as follows:
Where all Pn are consecutive primes and Ps is the resulting primes.
For P1=5, there would be no twin prime existed
and as P1>7, there is no twin prime numbers could be formed (A conjecture).
Last edited by Stangerzv (2013-04-16 22:38:29)
I think I had to retract the conjecture as there are many counter-examples:
However, once P1 becomes larger, this type of prime would become hard to find or simply non-exist.
Last edited by Stangerzv (2013-04-16 19:42:28)
Were you just guessing that there are no twin primes for P1=5, cause it is a good one and a true one!
What's even more interesting is that there are no such pairs for any P1 of the form 3n+2.
Last edited by anonimnystefy (2013-04-17 11:20:53)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
I just knew there is no solution as the multiplication got bigger, if there is a solution for primes, they usually occur at the smaller amount. It is interesting to know that there is no solution for 3n+1 but proving it would be a headache..I guess. How do you know it? You guessed?