login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A122560 Primes p such that p^2 is a sum of three successive primes, or primes in A076304. 4
7, 11, 29, 31, 43, 151, 157, 191, 263, 311, 359, 367, 563, 823, 859, 881, 929, 997, 1013, 1019, 1021, 1087, 1297, 1471, 1613, 1733, 1787, 1913, 2153, 2161, 2203, 2293, 2411, 2473, 2543, 2549, 2557, 2579, 2689, 2731, 2971, 3209, 3253, 3299, 3779, 3881, 3923 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A076304(n) are the Numbers n such that n^2 is a sum of three successive primes.

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..1000

EXAMPLE

A076304(n) begins {7,11,29,31,43,151,157,191,209,217,...}.

So a(1) = 7 because A076304(1) = 7 is prime and 7^2 = 49 = 13 + 17 + 19 = p(6) + p(7) + p(8).

MATHEMATICA

Select[Table[Sqrt[Sum[Prime[k], {k, n, n + 2}]], {n, 400000}], PrimeQ] (*Chandler*)

CROSSREFS

Cf. A076304.

Sequence in context: A067006 A136020 A076304 * A136338 A193867 A110572

Adjacent sequences:  A122557 A122558 A122559 * A122561 A122562 A122563

KEYWORD

nonn

AUTHOR

Alexander Adamchuk, Sep 20 2006

EXTENSIONS

Extended by Ray Chandler, Sep 26 2006

Name edited by Zak Seidov, May 07 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified April 21 21:03 EDT 2018. Contains 302877 sequences. (Running on oeis4.)