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A133538 Sum of seventh powers of two consecutive primes. 14

%I #23 Sep 08 2022 08:45:32

%S 2315,80312,901668,20310714,82235688,473087190,1304210412,4298697186,

%T 20654701756,44762490420,122444491244,289686151014,466572884988,

%U 778441731570,1681334260300,3663362624656,5631394320840,9203454441344,15155831763714,20142518677488

%N Sum of seventh powers of two consecutive primes.

%H Muniru A Asiru, <a href="/A133538/b133538.txt">Table of n, a(n) for n = 1..4000</a>

%F a(n) = A092759(n) + A092759(n+1). - _Michel Marcus_, Nov 09 2013

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

%p seq(add(ithprime(n+k)^7,k=0..1),n=1..20); # _Muniru A Asiru_, Aug 22 2018

%t e = 7; Table[Prime[n]^e + Prime[n + 1]^e, {n, 1, 100}]

%t Total/@Partition[Prime[Range[20]]^7,2,1] (* _Harvey P. Dale_, Oct 16 2014 *)

%o (PARI) a(n) = prime(n)^7 + prime(n+1)^7; \\ _Michel Marcus_, Aug 22 2018

%o (Magma) [NthPrime(n)^7 + NthPrime(n+1)^7: n in [1..25]]; // _Vincenzo Librandi_, Aug 23 2018

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

%K nonn

%O 1,1

%A _Artur Jasinski_, Sep 14 2007

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)