Prime Number Algorithm

by MechaMiles
Tags: algorithm, number, prime
MechaMiles is offline
Feb2-12, 01:33 PM
P: 6
I would really like to get some constructive feed back on this prime-seeking algorithm. Computationally it's no better than the rest. However, it does offer some unique insight.
I have partitioned the set of naturals between prime and composites using a rigorous structural schema that I prove in the following thesis:

Let me know what you think. I appreciate any further insight the community can offer me.
Phys.Org News Partner Science news on
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
Amir Livne
Amir Livne is offline
Feb5-12, 05:16 PM
P: 38
The article is quite long, so I skipped a few parts.

If I understand correctly, your observation is that any odd composite number N is a sum of a series of consequtive integers of length < √N. This is a nice property, I for one didn't know it, and it wasn't covered in my number theory course.

But I don't understand what the algorithm is. From what I could gather, you test all the bases for the sequence, from 1 up to N/3, and check if they start a sequence that sums up to N.
This doesn't seem very efficient. Is this what you meant?
MechaMiles is offline
Feb5-12, 05:31 PM
P: 6
You have understood the primitive algorithm. You're right, it's not efficient. However, it is generalized as the thesis develops and removes all impossible values in the set of test subjects (you have to read the whole paper to understand this). Still, the fully developed algorithm is not all that efficient as a prime tester. The idea, however, is not to render a computationally efficient prime test so much as to stimulate and promote the idea that if natural number theory could be placed on some geometric palette, the key to primes might unfold.

Amir Livne
Amir Livne is offline
Feb7-12, 03:57 PM
P: 38

Prime Number Algorithm

I believe number theory involves a great deal of algebraic geometry nowadays. It's not at all like the approach in your paper, but if this leads to something, it'll be wonderful.
Even if you don't prove new theorems, elementary proofs of existing theorems are ofter enlightening.

PS. I liked your use of Hebrew variables in the paper. Nice touch.

Register to reply

Related Discussions
prime number algorithm Linear & Abstract Algebra 4
prime number algorithm General Math 0
Prime Number finding Algorithm.How can we make things go faster? General Math 20
A formula of prime numbers for interval (q; (q+1)^2), where q is prime number. Linear & Abstract Algebra 0
Prime number algorithm General Math 3