Recent content by thompson03
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Undergrad Prime Number Formulas: Find the Nth Prime
My, this is quite the group of sarcastic and antagonistic people. I'm so sorry that the point has been lost in favor of nitpicking semantics. I will submit my last post with these quotes; Prime numbers can be generated by sieving processes (such as the sieve of Eratosthenes), and lucky...- thompson03
- Post #38
- Forum: Linear and Abstract Algebra
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Undergrad Prime Number Formulas: Find the Nth Prime
I'm not trying to be stupid, i really think this is a semantic / linguistic confusion, not an argument. Looks to me like wilsons theorem is a test, not a function. But, anything with factorials, list all previous values (factors). So the Smarandache Prime Function essential shows that...- thompson03
- Post #35
- Forum: Linear and Abstract Algebra
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Undergrad Prime Number Formulas: Find the Nth Prime
f(x) = x ; if x is prime does too let me rephrase, there is no function that is not based on recursion or more fundamentally on a sieve process. Making a function that step by step knocks out the composites is not exactly what I meant. "My bad" on the linguistics there, sorry- thompson03
- Post #33
- Forum: Linear and Abstract Algebra
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Undergrad For lack of a better word, Modifiers.
Let's introduce some terminology here: The distinctions you need to make are between Definitions : completely arbitrary man made ways of describing something Axioms (or postulates) Supposedly self evident truths Theorems: Something Proven from Definitions and Axioms Godel proved that not all...- thompson03
- Post #15
- Forum: Linear and Abstract Algebra
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Undergrad Prime Number Formulas: Find the Nth Prime
I assume you guys are being sarcastic right? There is no formula (function) which, given an arbitrary input will guarantee a prime output, let alone, give you the primes in order. You can work recursively, (ie, the sieve of Eratosthanes) but its not really a formula, it just knocks out the...- thompson03
- Post #31
- Forum: Linear and Abstract Algebra