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Old 2015-11-24, 23:48   #10
ewmayer
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Sep 2002
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Quote:
Originally Posted by Ale View Post
now 8 is:

3 x 3 x 2 x 4 x 3 x 2 x 3 x 4 x 5 x 3 x 2 x 4 x 3 x 4 x 5 x 6 x 3 x 4 x 5 x 3 x 4 x 5 x 6 x 3 x 5 x 6 x 7 x3 x 2 x 4 x 5 x 6 x 3 x 4 x 5 x 6 x 3 x ? 6 x 7 x 8 = n - 1 = prime number
or
x ? 5 x 6 x 7 x 8 = n - 1 = prime number

I can not test the true mechanism , but i think ( you see 4 x 5 x 6 , 3 times , and the number moltiplication 3 always after a series of numbers ) , i think that ,in this mechanism there is peralps hide one algorithm particular for to find a prime numbers.
I assume the '?' in there is a stray character - deleting it and replacing the 'x' with '*', PARI (which is a freely downloadable for you as it was for me, hint, hint) shows this number is composite:

? factor(3*3*2*4*3*2*3*4*5*3*2*4*3*4*5*6*3*4*5*3*4*5*6*3*5*6*7*3*2*4*5*6*3*4*5*6*3*6*7*8-1)
%2 =
[71 1]

[11214507891272978028169 1]

And you still have not given an actual *algorithm* for how you generate these small-number product sequences. Please do so - it should only require very rudimentary English. Do it in Italian and then post it here, if you prefer - I'm sure one of our Italian-speaking regular readers could translate it.

If by '?' you mean 'I am not sure here', then in fact you have no algorithm, just a vague supposition - in that case, download PARI, learn its basic operations (*,+,-, isprime and factor are the main operators and functions you need), and see if you can work out an actual *algorithm* which generates more than 3 or 4 primes in succession.

Last fiddled with by ewmayer on 2015-11-24 at 23:49
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