%I A058362
%S A058362 121174811,1128318991,2201579179,2715239543,2840465567,3510848161,
%T A058362 3688067693,3893783651,5089850089,5825680093,6649068043,6778294049,
%U A058362 7064865859,7912975891,8099786711,9010802341,9327115723,9491161423
%N A058362 Initial primes of sets of 6 consecutive primes in arithmetic progression. 
               Each set has a constant difference equal to 30. These are the smallest 
               such sets.
%C A058362 It is conjectured that there exist arbitrarily long sequences of consecutive 
               primes in arithmetic progression. As of December 2000 the record 
               is 10 primes.
%H A058362 <a href="Sindx_Pri.html#primes_AP">Index entries for sequences related 
               to primes in arithmetic progressions</a>
%F A058362 Found by exhaustive search for 6 primes that are in arithmetic progression 
               with all other intermediate numbers being composite.
%Y A058362 Cf. A033451, A059044.
%Y A058362 Sequence in context: A015380 A038131 A081734 this_sequence A079332 A068247 
               A050289
%Y A058362 Adjacent sequences: A058359 A058360 A058361 this_sequence A058363 A058364 
               A058365
%K A058362 nonn
%O A058362 1,1
%A A058362 Harvey Dubner (harvey(AT)dubner.com), Dec 18 2000
%E A058362 Corrected by Jud McCranie (j.mccranie(AT)comcast.net), Jan 04 2001
%E A058362 a(11)-a(18) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 
               05 2008