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A100292 Numbers of the form a^5 + b^2 with a, b > 0. 10
2, 5, 10, 17, 26, 33, 36, 37, 41, 48, 50, 57, 65, 68, 81, 82, 96, 101, 113, 122, 132, 145, 153, 170, 176, 197, 201, 226, 228, 244, 247, 252, 257, 259, 268, 279, 288, 290, 292, 307, 321, 324, 325, 343, 356, 362, 364, 387, 393, 401, 412, 432, 439, 442, 468, 473 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

MATHEMATICA

lst={}; Do[p=a^5+b^2; If[p<1000, AppendTo[lst, p]], {a, 16}, {b, 1024}]; Union[lst]

PROG

(PARI) is(n, m=5)=for(a=1, sqrtnint(n-1, m), issquare(n-a^m) && return(a)) \\ M. F. Hasler, Apr 25 2018

CROSSREFS

Cf. A100272 (primes of the form a^5 + b^2).

Cf. A000404 (a^2 + b^2), A055394 (a^2 + b^3), A111925 (a^2 + b^4), A100291 (a^4 + b^3), A100292 (a^5 + b^2), A100293 (a^5 + b^3), A100294 (a^5 + b^4), A303372 (a^2 + b^6), A303373 (a^3 + b^6), A303374 (a^4 + b^6), A303375 (a^5 + b^6).

Sequence in context: A003192 A018682 A078393 * A078325 A059591 A082607

Adjacent sequences:  A100289 A100290 A100291 * A100293 A100294 A100295

KEYWORD

nonn

AUTHOR

T. D. Noe, Nov 18 2004

STATUS

approved

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Last modified July 22 07:23 EDT 2019. Contains 325216 sequences. (Running on oeis4.)