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Area of consecutive Prime-Indexed Prime rectangles.
1

%I #11 Jan 07 2017 02:47:23

%S 15,55,187,527,1271,2419,3953,5561,9047,13843,19939,28103,34189,40301,

%T 50851,66757,78391,93673,116843,129551,147167,172831,198691,234649,

%U 278423,307961,330481,351613,369583,437453,523951,571247,616081,684623

%N Area of consecutive Prime-Indexed Prime rectangles.

%C This could also be called the product of consecutive Prime-Indexed Primes.

%H Harvey P. Dale, <a href="/A119658/b119658.txt">Table of n, a(n) for n = 1..1000</a>

%F A prime index is the numerical position of a prime number in the sequence of prime numbers. A Prime-Indexed Prime (PIP) is a prime number whose index is also prime. A Prime-Indexed Prime rectangle is a rectangle whose sides are components of Prime-Indexed Primes.

%e The second set of consecutive PIPs, 5 and 11, produce a 5 X 11 unit rectangle whose area is 55 square units.

%t Times@@@Partition[Prime[Prime[Range[40]]],2,1] (* _Harvey P. Dale_, Aug 02 2013 *)

%o (PARI) g(n) = for(x=1,n,print1(prime(prime(x))*prime(prime(x+1))","))

%K nonn

%O 1,1

%A _Cino Hilliard_, Jul 28 2006