Many students , teachers of mathematics provide a huge efforts to get a universal closed form of a function which generate prime number , Really i'm very interesting to know if there is any proof claim or dis-claim the existence of Universal closed form of generating prime function and also i don't want wasting my time with that if it dosn't exists ?
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2http://mathworld.wolfram.com/PrimeFormulas.html – Wojowu Apr 30 '18 at 20:45
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I saw that , i asked about proof which claim the existence of unic formula for which generates primes or dis-claim it – zeraoulia rafik Apr 30 '18 at 20:47
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1See formula for primes here. It looks like it's unknown whether a function exists, or doesn't exist. – John Apr 30 '18 at 21:02
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1The problem is that there is no accepted definition of what a "formula for primes" would be. The Wikipedia article John shows that some kinds of formulas are impossible, while some are (see the MathWorld article). If you want a more specific answer, try to specify what would count as a "closed form" to you. – Wojowu Apr 30 '18 at 21:09
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https://en.wikipedia.org/wiki/Formula_for_primes This article may help. – herb steinberg Apr 30 '18 at 21:22
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There are many posts here on this topics, e.g., this one, and others. – Dietrich Burde Apr 30 '18 at 21:30
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I wonder how the proof on an infinite number of primes would work here. That is, take the product of all known primes and add one, this is either a new prime or a composite of new primes. I wonder if this would skip any primes? – Phil H Apr 30 '18 at 23:33
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FAQ - see the linked dupe, and chase links from there. Please search for answers before posting questions. $\ \ $ – Bill Dubuque Mar 16 '25 at 17:50