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A281927
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Numbers that are the product of exactly 10 primes and are of the form prime(n) + prime(n + 1).
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0
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2304, 3456, 5184, 5376, 8448, 9600, 14400, 14976, 18816, 19008, 19440, 21888, 29440, 30208, 31488, 34048, 36096, 36608, 43264, 43904, 46848, 47040, 47232, 55552, 59520, 60000, 60160, 63936, 69696
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OFFSET
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1,1
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COMMENTS
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Intersection of A001043 and A046314. - Bruno Berselli, Feb 02 2017
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LINKS
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Table of n, a(n) for n=1..29.
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EXAMPLE
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2304 = 2^8 * 3^2 = 1151 + 1153, 3456 = 2^7 * 3^3 = 1723 + 1733, 5184 = 2^6 * 3^4 = 2591 + 2593.
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MAPLE
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with(numtheory): P:=proc(q) local a, n; a:=ithprime(q)+ithprime(q+1);
if bigomega(a)=10 then a; fi; end: seq(P(k), k=1..10^4); # Paolo P. Lava, Feb 02 2017
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MATHEMATICA
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Total[#] & /@ Select[Partition[Prime[Range[10000]], 2, 1], 10 == PrimeOmega[Total[#]] &]
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CROSSREFS
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Cf. A001043, A046314.
Cf. A105936 (products of 3 primes), A281925 (products of 4 primes), A281926 (products of 5 primes).
Sequence in context: A270854 A260292 A339349 * A179699 A195652 A256729
Adjacent sequences: A281924 A281925 A281926 * A281928 A281929 A281930
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov, Feb 02 2017
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STATUS
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approved
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