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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A166255 Numbers n with property that sum of 70 successive primes starting with n-th prime is a square. 7
71, 201, 1024, 1594, 10915, 36934, 51050, 60054, 60914, 71822, 80331, 85230, 92916, 96352, 103271, 114667, 151019, 158591, 183484, 184348, 193979, 196078, 223587, 277476, 295890, 309502, 317601, 334181, 338139, 369101, 485330, 494188, 530832 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sum(prime(k),k=n,n+69)=s^2; corresponding values of s: 200, 322, 770, 982, 2848, 5552, 6622, 7236, 7292, 7972, 8472, 8750, 9166 (A166256).

LINKS

Zak Seidov, Table of n, a(n) for n = 1..100

EXAMPLE

prime(71)+...+prime(71+69)=200^2=A166256(1)^2,

prime(201)+...+prime(201+69)=322^2=A166256(2)^2,

prime(1024)+...+prime(1024+69)=770^2=A166256(3)^2.

MATHEMATICA

PrimePi[First[#]]&/@Select[Partition[Prime[Range[1000000]], 70, 1], IntegerQ[ Sqrt[ Total[#]]]&] (* Harvey P. Dale, Jun 13 2011 *)

CROSSREFS

Cf. A166256.

Cf. A064397 (2 primes), A076305 (3 primes), A072849 (4 primes), A166261 (120 primes).

Sequence in context: A101110 A142893 A245945 * A142076 A096698 A159472

Adjacent sequences:  A166252 A166253 A166254 * A166256 A166257 A166258

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 10 2009

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 December 3 20:40 EST 2016. Contains 278745 sequences.