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A108655 Primes that are sums of the squares of two semiprimes. 1

%I #10 Jul 13 2013 12:03:20

%S 97,181,241,277,421,457,541,641,661,709,757,821,1109,1117,1237,1301,

%T 1381,1597,1621,1669,1709,1901,2069,2341,2381,2417,2437,2557,2617,

%U 2677,2741,2797,3041,3061,3221,3557,3637,3701,3733,3989,4241,4261,4421,4517

%N Primes that are sums of the squares of two semiprimes.

%C Subsequence of A002144.

%C a(n) = A074985(i) + A074985(j) for appropriate i and j.

%H Reinhard Zumkeller, <a href="/A108655/b108655.txt">Table of n, a(n) for n = 1..10000</a>

%e A000040(733) = 5557 = 81 + 5476 = (3*3)^2 + (2*37)^2 =

%e A001358(3)^2 + A001358(25)^2 = A074985(3) + A074985(25),

%e therefore 5557 is a term.

%o (Haskell)

%o a108655 n = a108655_list !! (n-1)

%o a108655_list = filter f a000040_list where

%o f p = any (> 0) $ map (a064911 . a037213 . (p -)) $

%o takeWhile (< p) a074985_list

%o -- _Reinhard Zumkeller_, Aug 09 2012

%Y Cf. A000404, A001358, A000290.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Jul 07 2005

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Last modified August 17 01:14 EDT 2024. Contains 375198 sequences. (Running on oeis4.)