A335076 Numbers that are the sum of two consecutive semiprimes and also the sum of two consecutive 3-almost primes.

47, 95, 115, 134, 151, 201, 233, 285, 301, 335, 346, 368, 461, 513, 527, 541, 576, 640, 713, 787, 801, 810, 864, 907, 935, 944, 1104, 1160, 1225, 1245, 1255, 1360, 1397, 1471, 1513, 1521, 1574, 1620, 1692, 1740, 1775, 1782, 1831, 1867, 1873, 1913, 1967, 2009

Offset: 1

Author

Zak Seidov, May 22 2020

Keywords

• nonn

Comments

Apparently the sequence is infinite.

Examples

			47 = 22 + 25 = A118717(8) = A001358(8) + A001358(9), and
47 = 20 + 27 = A014612(4) + A014612(5).
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..26539 (all terms up to 10^6).

Crossrefs

Cf. A001358, A014612, A118717.

Programs

Mathematica

p[n_, m_] := Plus @@@ Partition[Select[Range[m], PrimeOmega[#] == n &], 2, 1]; m = 1100; Intersection[p[2, m], p[3, m]] (* Amiram Eldar, May 24 2020 *)