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A335076
Numbers that are the sum of two consecutive semiprimes and also the sum of two consecutive 3-almost primes.
1
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
1,1
COMMENTS
Apparently the sequence is infinite.
LINKS
Zak Seidov, Table of n, a(n) for n = 1..26539 (all terms up to 10^6).
EXAMPLE
47 = 22 + 25 = A118717(8) = A001358(8) + A001358(9), and
47 = 20 + 27 = A014612(4) + A014612(5).
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 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, May 22 2020
STATUS
approved