Timeline for The prime numbers modulo $k$, are not periodic

9 events

when toggle format	what		by	license	comment
May 28, 2014 at 20:01	comment	added	Joël		This answer correctly solves the question as initially posted, so I don't understand the down votes.
May 28, 2014 at 14:33	history	edited	Jeff Strom	CC BY-SA 3.0	added 96 characters in body
May 28, 2014 at 13:43	history	edited	Jeff Strom	CC BY-SA 3.0	improved clarity
May 28, 2014 at 4:17	comment	added	The Masked Avenger		Actually the Bertrand-Finsler idea doesn't work that easily. It is still hard to imagine nk+2 and mk+3 being consecutive primes for small values of m, in particular for m much less than k, as that would suggest an unusually early occurrence of a large prime gap.
May 28, 2014 at 3:28	comment	added	The Masked Avenger		Showing eventual nonperiodicity mod k for large k is harder, but one might look at prime free regions (near nk! perhaps) and possibly reach a contradiction.
May 28, 2014 at 3:24	comment	added	The Masked Avenger		Here is another. By Bertrand and Finsler there are ( for k large) at least two primes between k and 2k. But then they have to be k+2 and k+3.
May 28, 2014 at 3:04	comment	added	The Masked Avenger		Try this then: let p be a prime divisor of k. Then p mod k is 0 or p. No other prime has that residue mod k.
May 28, 2014 at 2:28	comment	added	Igor Rivin		All that shows is that $p$ is NOT a prime divisor mod $k$...
May 28, 2014 at 2:06	history	answered	Jeff Strom	CC BY-SA 3.0