A133538 Sum of seventh powers of two consecutive primes.

2315, 80312, 901668, 20310714, 82235688, 473087190, 1304210412, 4298697186, 20654701756, 44762490420, 122444491244, 289686151014, 466572884988, 778441731570, 1681334260300, 3663362624656, 5631394320840, 9203454441344, 15155831763714, 20142518677488

Offset

1,1

Links

Muniru A Asiru, Table of n, a(n) for n = 1..4000

Formula

a(n) = A092759(n) + A092759(n+1). - Michel Marcus, Nov 09 2013

Example

a(1)=2315 because 2^7 + 3^7 = 2315.

Maple

seq(add(ithprime(n+k)^7, k=0..1), n=1..20); # Muniru A Asiru, Aug 22 2018

Mathematica

e = 7; Table[Prime[n]^e + Prime[n + 1]^e, {n, 1, 100}]
Total/@Partition[Prime[Range[20]]^7, 2, 1] (* Harvey P. Dale, Oct 16 2014 *)

Prog

(PARI) a(n) = prime(n)^7 + prime(n+1)^7; \\ Michel Marcus, Aug 22 2018
(Magma) [NthPrime(n)^7 + NthPrime(n+1)^7: n in [1..25]]; // Vincenzo Librandi, Aug 23 2018

Crossrefs

Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532, A069484, A133534, A133535, A133536, A133537.

Sequence in context: A238025 A369960 A132214 * A075668 A210175 A137733

Adjacent sequences: A133535 A133536 A133537 * A133539 A133540 A133541

Keyword

nonn

Author

Artur Jasinski, Sep 14 2007

Status

approved