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A364776
Lexicographically least increasing sequence of triprimes whose first differences are semiprimes.
1
8, 12, 18, 27, 42, 52, 66, 70, 76, 98, 102, 116, 125, 147, 153, 174, 188, 222, 231, 245, 255, 261, 275, 279, 285, 310, 316, 322, 332, 338, 363, 369, 402, 406, 410, 425, 429, 435, 470, 474, 483, 498, 507, 556, 578, 582, 596, 602, 606, 610, 645, 651, 657, 663, 678, 682, 692, 725, 747, 762, 772, 782
OFFSET
1,1
COMMENTS
For n >= 2, a(n) is the least member k of A014612 such that k - a(n-1) is in A001358.
LINKS
EXAMPLE
a(4) = 27 because a(3) = 18, 27 = 3^3 is a triprime, and 27 - 18 = 9 = 3^2 is a semiprime.
MAPLE
R:= 8: count:= 1: x:= 8:
for i from 9 while count < 100 do
if numtheory:-bigomega(i) = 3 and numtheory:-bigomega(i-x) = 2 then
R:= R, i; count:= count+1; x:= i;
fi
od:
R;
MATHEMATICA
s = {8, 12, 18, m=27}; Do[n = m + 4; While[3 != PrimeOmega[n] || 2
!= PrimeOmega[n - m], n++]; AppendTo[s, m = n], {100}]; s
CROSSREFS
Sequence in context: A171241 A120137 A274951 * A033477 A105936 A168670
KEYWORD
nonn
AUTHOR
Zak Seidov and Robert Israel, Aug 06 2023
STATUS
approved