A363391 Numbers k such that k, k+1, k+2, k+3 have 2, 3, 4, 5 prime factors respectively, counted with multiplicity.
493, 2413, 3013, 3427, 3873, 4333, 4885, 5029, 5893, 6697, 7373, 8373, 10113, 10533, 13011, 14005, 14677, 15122, 16373, 17173, 17869, 18613, 19693, 20053, 20613, 22417, 23073, 23077, 23137, 23573, 24493, 24613, 24937, 25141, 26101, 26193, 26917, 27637, 27973, 28357, 29713, 29941, 31861, 32393
Offset: 1
Keywords
Examples
a(3) = 3013 is a term because 3013 = 23 * 131 has 2 prime factors counted by multiplicity, 3014 = 2 * 11 * 137 has 3, 3015 = 3^2 * 5 * 67 has 4, and 3016 = 2^3 * 13 * 29 has 5.
Links
- Robert Israel, Table of n, a(n) for n = 1..10000
Programs
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Maple
R:= NULL: state:= 0: count:= 0: for x from 1 while count < 50 do v:= numtheory:-bigomega(x); if v = 2 then state:= 2 elif v = state+1 and state >= 2 then state:=state+1 else state:= 0 fi; if state = 5 then count:= count+1; R:= R,x-3; fi; od: R;
Comments