This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A027830 Numbers n such that n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5 is prime. 0
 1, 7, 11, 25, 35, 43, 45, 47, 51, 53, 57, 63, 65, 81, 91, 103, 113, 117, 121, 143, 149, 169, 173, 191, 193, 199, 201, 211, 213, 225, 235, 247, 253, 255, 263, 269, 299, 331, 333, 355, 357, 359, 373, 385, 387, 395, 399, 403, 411, 445, 453, 495, 519, 537, 579, 599 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers n such that A027622(n) is prime. LINKS EXAMPLE n=1: n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5 = 3413 = A027886(1), n=7: n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5 = 171851 = A027886(2), n=11: n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5 = 800143 = A027886(3). MATHEMATICA With[{c=Total[Table[(#+i)^(i+1), {i, 0, 4}]]}, Select[Range[600], PrimeQ[c]&]] (* Harvey P. Dale, May 07 2012 *) PROG (MAGMA) [n: n in [0..1000] |IsPrime(n+(n+1)^2+(n+2)^3+(n+3)^4+(n+4)^5)] // Vincenzo Librandi, Nov 20 2010 (PARI) is(n)=isprime(n+(n+1)^2+(n+2)^3+(n+3)^4+(n+4)^5) \\ Charles R Greathouse IV, Jun 13 2017 CROSSREFS Cf. A027622, A027886. Sequence in context: A076855 A160054 A247590 * A134043 A102373 A002643 Adjacent sequences:  A027827 A027828 A027829 * A027831 A027832 A027833 KEYWORD nonn,easy AUTHOR EXTENSIONS Edited by N. J. A. Sloane, May 21 2008 at the suggestion of R. J. Mathar 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.

Last modified November 18 01:20 EST 2018. Contains 317279 sequences. (Running on oeis4.)