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A038708 Primes of the form (k-th primorial) + (k+1)-st prime. 2

%I #15 Mar 16 2020 11:39:16

%S 5,11,37,30047,510529,9699713,13082761331670077,32589158477190044789,

%T 1922760350154212639131,40729680599249024150621323549

%N Primes of the form (k-th primorial) + (k+1)-st prime.

%H Jinyuan Wang, <a href="/A038708/b038708.txt">Table of n, a(n) for n = 1..11</a>

%e k=6: 6th primorial 2*3*5*7*11*13 + prime(7) = 300030 + 17 = 30047 is a prime.

%t With[{nn=30},Select[Total/@Thread[{FoldList[Times,Prime[ Range[ nn]]],Prime[ Range[ 2,nn+1]]}],PrimeQ]] (* _Harvey P. Dale_, Oct 12 2018 *)

%Y Cf. A002110, A035346, A005235.

%K nonn

%O 1,1

%A _Labos Elemer_, May 02 2000

%E Next term has 149 decimal digits.

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Last modified April 16 00:27 EDT 2024. Contains 371696 sequences. (Running on oeis4.)