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You are not logged in. #1 20130605 21:49:15
My New Twin Prime Numbers Absolute Twin PrimesConsider this equation Where n is an even number, Pi is the consecutive prime and Ps is the resulting prime. Some of the primes Let P1=2 and n=4 Ps={193, 227} Let P1=2 and n=6 Ps={29989, 30071} Let P1=3 and n=2 Ps={7, 23} Let P1=3 and n=4 Ps={1129, 1181} Let P1=5 and n=2 Ps={23, 47} Let P1=5 and n=6 Ps={1616543, 1616687} Last edited by Stangerzv (20130605 21:50:25) #2 20130606 00:07:17
Re: My New Twin Prime Numbers Absolute Twin PrimesI think I could rearrange the equation to avoid negative prime. Below is the modified version. #3 20130606 00:14:47
Re: My New Twin Prime Numbers Absolute Twin Primesdid you make this equation yourself..? Jake is Alice's father, Jake is the ________ of Alice's father? Why is T called island letter? think, think, think and don't get up with a solution... #4 20130606 00:37:00
Re: My New Twin Prime Numbers Absolute Twin PrimesYep barbie19022002..I kinda like prime numbers and I do lots of thinking about them. Most of the prime numbers I listed here were not known to me before and this prime formula was developed this morning. I got to know about prime numbers through my formulation of sums of power for arithmetic progression. I got involved in prime numbers after trying to link my sums of power formulation with Riemann's zeta function. Sometimes, it is a frustration to know that someone else had found it but it is kool to find something without knowing it beforehand. Last edited by Stangerzv (20130606 01:07:39) #5 20130606 00:52:09
Re: My New Twin Prime Numbers Absolute Twin PrimesHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20130606 01:02:02
Re: My New Twin Prime Numbers Absolute Twin PrimesHere are some (unconfirmed): The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #7 20130606 01:04:27
Re: My New Twin Prime Numbers Absolute Twin Primeshi bobbym #8 20130606 01:14:16
Re: My New Twin Prime Numbers Absolute Twin PrimesThere are no solutions with P1=2 and n < =1000 other than n = 4 and n = 6. These are already 3300 digit numbers! In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20130606 01:15:28
Re: My New Twin Prime Numbers Absolute Twin PrimesNew update Last edited by Stangerzv (20130606 01:25:13) #10 20130606 01:20:43
Re: My New Twin Prime Numbers Absolute Twin PrimesHi bobbym #11 20130606 01:22:14
Re: My New Twin Prime Numbers Absolute Twin PrimesThere are no solutions with P1=3 and n < = 1000 other than n = 2 and n = 4. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #12 20130606 03:03:59
Re: My New Twin Prime Numbers Absolute Twin Primes
How are you getting this? It seems I have misread something... The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #13 20130606 03:21:27
Re: My New Twin Prime Numbers Absolute Twin PrimesHi stefy, Last edited by phrontister (20130606 03:27:52) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #14 20130606 03:28:09
Re: My New Twin Prime Numbers Absolute Twin PrimesAh, got it. Didn't subtract 1 in the upper summation bound. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #15 20130606 04:37:17
Re: My New Twin Prime Numbers Absolute Twin PrimesTesting for n<=100, I found many solutions up to P1=50929, most of which are for n=2. There are some n=4, 6 and 8, and several loners: n=14, 22, 26 and 56. "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #16 20130606 04:49:41
Re: My New Twin Prime Numbers Absolute Twin PrimesHi For P1<=p_10000 there is nothing for 34<=n<=54 and 58<=n<=68. Also did a search for (P1,n) pairs where P1 can go up to p_100000 and 34<=n<=68. Last edited by anonimnystefy (20130606 08:22:38) The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #17 20130606 10:34:34
Re: My New Twin Prime Numbers Absolute Twin PrimesThe result with the highest n I've got so far is P=61001, n=154. Backwards check (in M), where e1 and e2 are the two absolute +/ Ps elements: Input: a = FactorInteger[(e1 + e2)/2]; {First[First[a]], Length[a]} Output: {61001,154} My code looks a bit clunky with the repeat "First[First", but it works and I don't know how to improve it. Prime factor range is 61001 to 62761, which comprises 154 primes. 61001 and 62761 are the 6146th and 6299th primes (respectively), but I don't know how that information can be used. Last edited by phrontister (20130607 02:42:51) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #18 20130607 14:57:23
Re: My New Twin Prime Numbers Absolute Twin PrimesIt seems there are plenty of these primes with an exception that most of them occur at smaller value of n. #19 20130608 03:33:29
Re: My New Twin Prime Numbers Absolute Twin PrimesYes, it's rarefied air up there for higher numbers. "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson 