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A281927 Numbers that are the product of exactly 10 primes and are of the form prime(n) + prime(n + 1). 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Intersection of A001043 and A046314. - Bruno Berselli, Feb 02 2017

LINKS

Table of n, a(n) for n=1..29.

EXAMPLE

2304 = 2^8 * 3^2 = 1151 + 1153, 3456 = 2^7 * 3^3 = 1723 + 1733, 5184 = 2^6 * 3^4 = 2591 + 2593.

MAPLE

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

MATHEMATICA

Total[#] & /@ Select[Partition[Prime[Range[10000]], 2, 1], 10 == PrimeOmega[Total[#]] &]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 02 2017

STATUS

approved

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Last modified May 22 13:12 EDT 2022. Contains 353950 sequences. (Running on oeis4.)