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A283019 Primes which are the sum of three nonzero 8th powers. 3
3, 6563, 72353, 137633, 787811, 1745153, 7444673, 44726593, 49202147, 61503553, 86093443, 91858243, 100006817, 100072097, 101686177, 107444417, 143046977, 200006561, 214756067, 257412163, 300452323, 430372577, 431661313, 435812033, 447149537, 452523713, 489805633, 530372321, 744340577 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of form x^8 + y^8 + z^8 where x, y, z > 0.

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

EXAMPLE

3 = 1^8 + 1^8 + 1^8;

6563 = 1^8 + 1^8 + 3^8;

72353 = 2^8 + 3^8 + 4^8, etc.

MATHEMATICA

nn = 13; Select[Union[Plus @@@ (Tuples[Range[nn], {3}]^8)], # <= nn^8 && PrimeQ[#] &]

PROG

(PARI) list(lim)=my(v=List(), A, B, t); lim\=1; for(a=1, sqrtnint(lim-2, 8), A=a^8; for(b=1, min(sqrtnint(lim-A-1, 8), a), B=A+b^8; forstep(c=if(B%2, 2, 1), sqrtnint(lim-B, 8), 2, if(isprime(t=B+c^8), listput(v, t))))); Set(v) \\ Charles R Greathouse IV, Nov 05 2017

CROSSREFS

Cf. A001016, A003381, A006686, A007490, A085317, A085318, A085319, A283017, A283018.

Sequence in context: A185671 A187879 A325052 * A056749 A281788 A134776

Adjacent sequences:  A283016 A283017 A283018 * A283020 A283021 A283022

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 26 2017

STATUS

approved

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Last modified November 14 12:40 EST 2019. Contains 329114 sequences. (Running on oeis4.)