Search: id:A058362 Results 1-1 of 1 results found. %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 Index entries for sequences related to primes in arithmetic progressions %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 Search completed in 0.001 seconds