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A099788 a(n) = Product_{i=1..2n} prime(i). 5

%I #27 Sep 08 2022 08:45:15

%S 1,6,210,30030,9699690,6469693230,7420738134810,13082761331670030,

%T 32589158477190044730,117288381359406970983270,

%U 557940830126698960967415390,3217644767340672907899084554130,23768741896345550770650537601358310,232862364358497360900063316880507363070

%N a(n) = Product_{i=1..2n} prime(i).

%H Vincenzo Librandi, <a href="/A099788/b099788.txt">Table of n, a(n) for n = 0..100</a>

%p a:=n-> mul(ithprime(j),j=1..2*n): seq(a(n),n=0..13); # _Emeric Deutsch_

%t Table[Product[Prime[i], {i, 2n}], {n, 0, 20}] (* _Wesley Ivan Hurt_, Mar 13 2014 *)

%o (PARI) a(n) = prod(i=1, 2*n, prime(i)); \\ _Michel Marcus_, Mar 15 2014

%o (Magma) [1] cat [&*[NthPrime(j): j in [1..2*n]]: n in [1..20]]; // _G. C. Greubel_, Sep 04 2019

%o (Sage) [1]+[product(nth_prime(j) for j in (1..2*n)) for n in (1..20)] # _G. C. Greubel_, Sep 04 2019

%Y Cf. A000040, A099800.

%Y Bisection of A002110.

%Y Subset of A030229.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 19 2004

%E More terms from _Emeric Deutsch_, Feb 23 2005

%E Name revised by _Wesley Ivan Hurt_, Mar 13 2014

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)