A279062 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A279062

Initial terms of the arithmetic progressions in A278735.

3, 3, 5, 353, 13297, 1561423, 291461857

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The first set of 4 prime-indexed primes in arithmetic progression (353, 431, 509, and 587) contains consecutive terms of A142160.

LINKS

Table of n, a(n) for n=1..7.

EXAMPLE

a(4) = 353 because 353 = prime(prime(20)), 431 = prime(prime(23)), 509 = prime(prime(25)), 587 = prime(prime(28)), and 431-353 = 509-431 = 587-509 = 78.

The corresponding arithmetic progressions are

3, 5;

5, 11, 17;

353, 431, 509, 587;

13297, 21937, 30577, 39217, 47857;

1561423, 2716423, 3871423, 5026423, 6181423, 7336423;

...

CROSSREFS

Left border of A279021.

Cf. A006450, A113827, A142160, A274825, A278735.

Sequence in context: A248592 A132809 A265960 * A367763 A005882 A327824

Adjacent sequences: A279059 A279060 A279061 * A279063 A279064 A279065