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 May 5th, 2016, 11:25 AM #1 Newbie   Joined: Apr 2016 From: Canada Posts: 16 Thanks: 0 Primes to solve prime accuracy of +-2 not sure if this is already known.. i just came up with this right now. x^2 + y^2 + 3^n where x = prime p y = next prime (p+1) n = order along the calculation / the nth pair of terms 2^2 + 3^2 + 3^0 = 14 (14-1=13) 3^2 + 5^2 + 3^1 = 37 5^2 + 7^2 + 3^2 = 83 7^2 + 11^2 + 3^3 = 197 11^2 + 13^2 + 3^4 = 371 (14+2=373) 13^2 + 17^2 + 3^5 = 701 17^2 + 19^2 + 3^6 = 1379 (1379+2=1381) 19^2 + 23^2 + 3^7 = 3077 (3077+2=3079) 41^2 + 43^2 + 3^12 = 534971 <-- prime number May 5th, 2016, 05:15 PM #2 Senior Member   Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 391 Thanks: 70 Please explain further. I don't see the point of these calculations. Some of the results are prime and some are not. May 6th, 2016, 04:40 PM #3 Newbie   Joined: Apr 2016 From: Canada Posts: 16 Thanks: 0 if this has an accuracy of +- 2, it'sstill viable.. similar to how Mersenne prime are valid.. right? also, i wonder if the +- 2 is because of the 3... also i haven't thoroughly tested this for absolutely all available primes but what i have done seems to show a pattern of a +- accuracy of 2 May 6th, 2016, 06:37 PM #4 Senior Member   Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 391 Thanks: 70 Thanks Kensou. At first I didn't understand that you were saying that the resultant number is either a prime or within + or -2 of a prime. I think I may have found a counter-example with the twin primes 101 and 103. Please check these calculations: 101^2 = 10201 103^2 = 10609 3^24 = 282,429,536,481 The sum of these three results is 282,429,557,291 which is not prime. Neither is 282,429,557,289 nor 282,429,557,293. May 6th, 2016, 08:16 PM   #5
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 Originally Posted by Timios Thanks Kensou. At first I didn't understand that you were saying that the resultant number is either a prime or within + or -2 of a prime. I think I may have found a counter-example with the twin primes 101 and 103. Please check these calculations: 101^2 = 10201 103^2 = 10609 3^24 = 282,429,536,481 The sum of these three results is 282,429,557,291 which is not prime. Neither is 282,429,557,289 nor 282,429,557,293.
any idea what the nearest + and - primes are to that result? Tags accuracy, prime, primes, solve Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post 777HENRY Number Theory 1 April 6th, 2015 07:33 AM girlbadatmath Chemistry 7 October 13th, 2014 06:47 AM miket Number Theory 5 May 15th, 2013 05:35 PM proglote Number Theory 1 May 11th, 2011 11:29 AM momo Number Theory 16 February 24th, 2010 05:11 AM

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