login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A243894 a(n) = prime(k+1) with k = n^2 + prime(n)^2. 1
13, 43, 149, 317, 853, 1277, 2281, 2957, 4507, 7433, 8693, 12671, 15887, 17839, 21701, 28099, 35407, 38327, 46997, 53359, 56911, 67511, 75289, 87541, 105173, 115067, 120473, 130829, 136573, 147919, 189139, 202519, 223009, 230449, 267413, 275711 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The prime numbers prime(k-1) = A243893, prime(k) = A243892 and a(n) = prime(k+1) with k = n^2 + prime(n)^2 are forming a triple of successive prime numbers.

LINKS

Freimut Marschner, Table of n, a(n) for n = 1..63

FORMULA

a(n) = prime((n^2 + prime(n)^2) + 1).

EXAMPLE

n=1, n^2 = 1, prime(1) = 2, 2^2 = 4, 1 + 4 = 5, 5 + 1 = 6, prime(6) = 13 ;

n=2, n^2 = 4, prime(2) = 3, 3^2 = 9, 4 + 9 = 13, 13 + 1 = 14, prime(14) = 43.

MATHEMATICA

Table[Prime[n^2+Prime[n]^2+1], {n, 40}] (* Harvey P. Dale, Dec 31 2015 *)

PROG

(PARI) vector(40, n, prime(n^2 + prime(n)^2 + 1)) \\ Colin Barker, Jun 14 2014

CROSSREFS

Cf. A000290 (squares n^2), A000040 (prime(n), A001248 (prime(n)^2), A106587 ( n^2 + prime(n)^2).

Sequence in context: A135241 A225774 A268256 * A303740 A243029 A243030

Adjacent sequences:  A243891 A243892 A243893 * A243895 A243896 A243897

KEYWORD

nonn

AUTHOR

Freimut Marschner, Jun 14 2014

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 20 05:17 EDT 2021. Contains 347577 sequences. (Running on oeis4.)