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!)
A133529 Sum of squares of three consecutive primes. 32
38, 83, 195, 339, 579, 819, 1179, 1731, 2331, 3171, 4011, 4899, 5739, 6867, 8499, 10011, 11691, 13251, 14859, 16611, 18459, 21051, 24219, 27531, 30219, 32259, 33939, 36099, 40779, 46059, 52059, 55251, 60291, 64323, 69651, 74019, 79107, 84387, 89859, 94731, 101283 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It is easy to see that all terms > 83 are divisible by 3.
Likewise all terms except 38 are congruent to 3 (mod 8). - Franklin T. Adams-Watters, Jun 17 2015
LINKS
FORMULA
a(n) = A069484(n) + A001248(n+2). - Michel Marcus, Nov 08 2013
EXAMPLE
a(1)=38 because 2^2 + 3^2 + 5^2 = 38.
MATHEMATICA
a = 2; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a, {n, 1, 100}]
Total/@Partition[Prime[Range[50]]^2, 3, 1] (* Vincenzo Librandi, Jun 18 2015 *)
PROG
(PARI) for( n= 1, 100, k= sum(i=n, n+2, prime(i)^2) ; print1(k, ", ")) \\ K. D. Bajpai, Jun 17 2015
(Magma) [&+[ NthPrime(n+i)^2 : i in [0..2]] : n in [1..20]]; // K. D. Bajpai, Jun 17 2015
CROSSREFS
Sequence in context: A039421 A043244 A044024 * A211498 A244733 A044176
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 14 2007
EXTENSIONS
a(38)-a(41) from K. D. Bajpai, Jun 18 2015
STATUS
approved

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 23 06:59 EDT 2024. Contains 374544 sequences. (Running on oeis4.)