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A337373
Numbers k for which A003961(k) > 3*k.
3
8, 12, 16, 18, 20, 24, 27, 28, 30, 32, 36, 40, 42, 45, 48, 54, 56, 60, 63, 64, 70, 72, 75, 78, 80, 81, 84, 88, 90, 96, 98, 99, 100, 104, 105, 108, 112, 114, 117, 120, 126, 128, 132, 135, 136, 138, 140, 144, 147, 150, 152, 153, 156, 160, 162, 168, 171, 175, 176, 180, 182, 184, 189, 192, 195, 196, 198, 200, 204, 207, 208
OFFSET
1,1
MAPLE
filter:= proc(n) local F, t;
F:= ifactors(n)[2];
mul((nextprime(t[1])/t[1])^t[2], t=F) > 3
end proc:
select(filter, [$1..1000]); # Robert Israel, Dec 31 2023
PROG
(PARI)
A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
isA337373(n) = (A003961(n) > (3*n));
CROSSREFS
Cf. A003961.
Subsequence of A246282.
Cf. A337374 (a subsequence).
Sequence in context: A033942 A111087 A341610 * A166083 A326111 A091375
KEYWORD
nonn
AUTHOR
Antti Karttunen, Aug 26 2020
STATUS
approved