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A194185 Primes of the form k^16 + (k+1)^16. 14
65537, 4338014017, 2973697798081, 36054040477057, 314707907280257, 8746361693522261761, 4441930186581050471617, 1936348941361814438534657, 8260002645666200230661441, 157512780598351804823277697, 684655198104511486296198721, 21770695412796292350304592257 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime 16-dimensional centered cube numbers. This is to dimension 16 as A194155 is to dimension 8 and as A152913 is to dimension 4.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..3000

EXAMPLE

a(1) = 1^16 + (1+1)^16 = 65537 = A100266(2).

a(2) = 3^16 + (3+1)^16 = 4338014017 = A100266(3).

a(3) = 5^16 + (5+1)^16 = 2973697798081 = A100266(4).

a(4) = 6^16 + (6+1)^16 = 36054040477057 = A100266(5).

a(5) = 7^16 + (7+1)^16 = 314707907280257 = A100266(6).

a(6) = 14^16 + (14+1)^16 = 8746361693522261761 = A100266(11).

a(7) = 21^16 + (21+1)^16 = 4441930186581050471617 = A100266(22).

MATHEMATICA

Select[Table[n^16+(n+1)^16, {n, 0, 800}], PrimeQ] (* Vincenzo Librandi, Dec 07 2011 *)

Select[Total/@Partition[Range[60]^16, 2, 1], PrimeQ] (* Harvey P. Dale, Dec 07 2017 *)

PROG

(MAGMA) [ a: n in [1..100] | IsPrime(a) where a is n^16+(n+1)^16 ]; // Vincenzo Librandi, Dec 07 2011

CROSSREFS

Cf. A000040, A154535, A100266, A152913, A194155.

Sequence in context: A013964 A036094 A133865 * A282777 A096555 A258533

Adjacent sequences:  A194182 A194183 A194184 * A194186 A194187 A194188

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Aug 18 2011

STATUS

approved

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Last modified December 4 22:42 EST 2021. Contains 349526 sequences. (Running on oeis4.)