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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A279021 Triangle read by rows, giving the arithmetic progressions of prime-indexed primes in A278735. 4

%I #46 Jan 04 2017 06:59:58

%S 3,3,5,5,11,17,353,431,509,587,13297,21937,30577,39217,47857,1561423,

%T 2716423,3871423,5026423,6181423,7336423,291461857,373881397,

%U 456300937,538720477,621140017,703559557,785979097

%N Triangle read by rows, giving the arithmetic progressions of prime-indexed primes in A278735.

%C Suggested by _Charles R Greathouse IV_ in A278735.

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

%C The first set of 5 prime-indexed primes in arithmetic progression contains 3 numbers that are anagrams of each other (13297, 21937, and 39217).

%e a(7) = 353, a(8) = 431, a(9) = 509, and a(10) = 587 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.

%e The triangle begins:

%e 3;

%e 3, 5;

%e 5, 11, 17;

%e 353, 431, 509, 587;

%e 13297, 21937, 30577, 39217, 47857;

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

%e ...

%Y Cf. A006450, A133277, A142160, A274825, A278735, A279062.

%K nonn,hard,more,tabl

%O 1,1

%A _Bobby Jacobs_, Dec 03 2016

%E a(22)-a(28) from _Charles R Greathouse IV_, Dec 27 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 13 04:46 EDT 2024. Contains 374267 sequences. (Running on oeis4.)