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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. 3
121174811, 1128318991, 2201579179, 2715239543, 2840465567, 3510848161, 3688067693, 3893783651, 5089850089, 5825680093, 6649068043, 6778294049, 7064865859, 7912975891, 8099786711, 9010802341, 9327115723, 9491161423 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

It is conjectured that there exist arbitrarily long sequences of consecutive primes in arithmetic progression. As of December 2000 the record is 10 primes.

LINKS

Table of n, a(n) for n=1..18.

Index entries for sequences related to primes in arithmetic progressions

FORMULA

Found by exhaustive search for 6 primes that are in arithmetic progression with all other intermediate numbers being composite.

CROSSREFS

Cf. A033451, A059044.

Sequence in context: A250458 A038131 A081734 * A213463 A175321 A215264

Adjacent sequences:  A058359 A058360 A058361 * A058363 A058364 A058365

KEYWORD

nonn

AUTHOR

Harvey Dubner (harvey(AT)dubner.com), Dec 18 2000

EXTENSIONS

Corrected by Jud McCranie, Jan 04 2001

a(11)-a(18) from Donovan Johnson, Sep 05 2008

STATUS

approved

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Last modified March 28 19:06 EDT 2017. Contains 284246 sequences.