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A137950
Numbers k such that k^0 + (k+1)^1 + (k+2)^2 + (k+3)^3 + (k+4)^4 is a prime.
2
1, 3, 4, 5, 7, 11, 14, 21, 22, 23, 28, 31, 33, 47, 50, 53, 56, 59, 70, 72, 82, 88, 92, 99, 106, 120, 122, 124, 135, 140, 149, 157, 159, 162, 166, 169, 172, 179, 182, 205, 217, 218, 224, 225, 229, 231, 239, 243, 247, 249, 256, 257, 262, 263, 273, 283, 284, 290, 302
OFFSET
1,2
COMMENTS
Numbers k such that k^4 + 17*k^3 + 106*k^2 + 288*k + 289 is prime. - Robert Israel, Jul 21 2020
LINKS
MAPLE
filter:= k -> isprime(k^4 + 17*k^3 + 106*k^2 + 288*k + 289):
select(filter, [$1..1000]); # Robert Israel, Jul 21 2020
MATHEMATICA
a={}; Do[If[PrimeQ[n^0+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4], AppendTo[a, n]], {n, 10^2*2}]; a
Select[Range[350], PrimeQ[Total[Table[(#+d)^d, {d, 0, 4}]]]&] (* Harvey P. Dale, Sep 01 2024 *)
PROG
(Magma) [n: n in [0..500] | IsPrime(n^0+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4)]; // Vincenzo Librandi, Nov 24 2010
CROSSREFS
Sequence in context: A139455 A095880 A076497 * A330100 A330099 A377245
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Mar 26 2010
STATUS
approved