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You are not logged in. #1 20130616 12:48:47
My New Residue Prime Number (Unless someone else found it)Consider this equation. Where Ps is the resulting Prime and n & p are integers. If t=1, this equation reduces to the known prime (Refer OEIS) as follows: Selecting the values of t and n for odd/prime Ps, yields the following example Which is a prime of approximately 14,700 Digits. By the way, does anyone know how to calculate how many digits this number is on Mathematica? Last edited by Stangerzv (20130616 13:02:15) #2 20130616 13:39:46
Re: My New Residue Prime Number (Unless someone else found it)It has 14734 digits. 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. #3 20130616 13:45:06
Re: My New Residue Prime Number (Unless someone else found it)And PrimeQ[8^16315  7^16315  6^16315  5^16315  4^16315  3^16315  2^16315] agrees that the result is prime. "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 #4 20130616 13:54:35
Re: My New Residue Prime Number (Unless someone else found it)Thanks bobbym and phrontister..alpertron won't work due to out of range. #5 20130616 13:59:56
Re: My New Residue Prime Number (Unless someone else found it)Use this in Mathematica for a proof of the primality of a number: 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 20130616 14:12:16
Re: My New Residue Prime Number (Unless someone else found it)Thanks bobbym..I would run on my computer. #7 20130616 14:14:27
Re: My New Residue Prime Number (Unless someone else found it)I turned it off after around 10 minutes. May take hours or days... 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. #8 20130616 18:51:05
Re: My New Residue Prime Number (Unless someone else found it)
This one seems good too: "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 #9 20130616 18:54:03
Re: My New Residue Prime Number (Unless someone else found it)How about this one? 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. #10 20130616 19:01:00
Re: My New Residue Prime Number (Unless someone else found it)Yes...works too. What does the dot after the 5 do? "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 #11 20130616 19:02:38
Re: My New Residue Prime Number (Unless someone else found it)It tells M that number is done in floating point. This is much faster then exact arithmetic. Once M does one bit of an expression in floating point, it does the rest in it too. 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 20130616 19:17:37
Re: My New Residue Prime Number (Unless someone else found it)Oh, I see. Interesting option. "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 #13 20130616 19:23:14
Re: My New Residue Prime Number (Unless someone else found it)That is interesting. I have been playing a little with geogebra's spreadsheet. If only they would interface geo with maxima a little better. 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. #14 20130616 19:29:38
Re: My New Residue Prime Number (Unless someone else found it)It seems that once the value of p becoming larger, you can simply taking log on the first term to get the digits. So, the number of digits=16315log8=14733.91. #15 20130616 19:32:55
Re: My New Residue Prime Number (Unless someone else found it)Yep, that will will give an approximation ala Landau Notation. 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. #16 20130616 19:51:18
Re: My New Residue Prime Number (Unless someone else found it)I was not sure, until you gave me the exact value, which is more less the value by taking log on the first term. #17 20130616 20:05:20
Re: My New Residue Prime Number (Unless someone else found it)Mathematically, it is correct to approximate it using just the first term when n is large. 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. #18 20130616 21:16:35
Re: My New Residue Prime Number (Unless someone else found it)
I didn't know that, so I looked it up and found this help file: PrimalityProving/tutorial/PrimalityProving "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 #19 20130616 21:36:57
Re: My New Residue Prime Number (Unless someone else found it)Since the WZ algorithm they now use certificates to prove when an algorithm gave the right answer. I do not understand it either. 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. #20 20130617 19:25:37
Re: My New Residue Prime Number (Unless someone else found it)
This form helped in another program of mine where I needed to plug the number of digits into another calculation, which I did via len=IntegerLength[a]. "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 #21 20130619 19:45:49
Re: My New Residue Prime Number (Unless someone else found it)I have tested up to n=30,000 no prime so far. I would run up to n=200,000 and lets see whether there would be more prime or not. 