login

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”).

A274825
Gaps associated with the arithmetic progressions in A278735.
3
0, 2, 6, 78, 8640, 1155000, 82419540
OFFSET
1,2
COMMENTS
The first set of 4 prime-indexed primes in arithmetic progression (353, 431, 509, and 587) contains consecutive terms of A142160.
EXAMPLE
a(4) = 78 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.
For the corresponding arithmetic progressions, see Charles R Greathouse IV's example in A278735. - Bobby Jacobs, Jan 02 2017
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Bobby Jacobs, Dec 08 2016
EXTENSIONS
a(7) from Bobby Jacobs, Jan 02 2017
STATUS
approved