A135180 a(n) = p^5 - p^3 + p^2, where p = prime(n).

28, 225, 3025, 16513, 159841, 369265, 1415233, 2469601, 6424705, 20487601, 28600321, 69294673, 115788961, 146930785, 229243393, 418049425, 714722401, 844373041, 1349828833, 1803876481, 2072687905, 3076569601, 3938475745, 5583362401, 8586436993, 10509080401, 11591658625, 14024303713, 15384956401

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

p=A000040(n): a(n) = p^5 - p^3 + p^2.

Example

a(4)=16513 because the 4th prime number is 7, 7^5 = 16807, 7^3 = 343, 7^2 = 49 and 16807 - 343 + 49 = 16513.

Mathematica

#^5 - #^3 + #^2 &/@Prime[Range[40]] (* Vincenzo Librandi, May 22 2014 *)

Prog

(Magma)[p^5-p^3+p^2: p in PrimesUpTo(200)]; // Vincenzo Librandi, Dec 14 2010

Crossrefs

Cf. p^2: A001248. p^3: A030078. p^5: A050997.

Sequence in context: A236355 A133071 A339137 * A042524 A125365 A126523

Adjacent sequences: A135177 A135178 A135179 * A135181 A135182 A135183

Keyword

nonn,easy

Author

Omar E. Pol, Nov 25 2007

Extensions

More terms from Vincenzo Librandi, Dec 14 2010

Status

approved