Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20131211 17:33:02
Prime Number with (mod11) I Hope it could be new one.I have encountered a new property in which I hope nobody has found it yet. In other words, If p is prime then is a whole number. Prime generated y is given as follows: y(59)=9090909090909090909090909090909090909090955556068481876491 y(3109)=9090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090909090909090909090909090909090909090 9090916761247679844122304328506045308491 Last edited by Stangerzv (20131211 17:43:41) #2 20131211 21:34:01
Re: Prime Number with (mod11) I Hope it could be new one.The result is not true for p=11. However, if p is odd and not divisible by 11, then it will be true. Here is the proof. since 10 ≡ −1 (mod 11). Also by Fermat’s little theorem. (This only works if p is not divisible by 11.) Hence Last edited by Nehushtan (20131211 22:47:58) 134 books currently added on Goodreads #3 20131211 22:51:21
Re: Prime Number with (mod11) I Hope it could be new one.Thanks Nehustan, I didn't notice when p=11, the same applies to p=3 for mod(3). 