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A349738
Numbers k such that A255217(k) divides A002110(k).
2
2, 4, 5, 9, 15, 17, 20, 24, 25, 26, 27, 29, 31, 32, 33, 34, 37, 44, 45, 46, 49, 51, 52, 61, 62, 63, 64, 71, 74, 79, 80, 81, 82, 85, 87, 88, 91, 95, 103, 104, 105, 110, 111, 112, 115, 117, 118, 119, 120, 121, 127, 131, 135, 137, 142, 148, 150, 152, 154, 158, 159, 163, 165, 173, 175, 177, 179, 181
OFFSET
1,1
LINKS
EXAMPLE
a(3) = 5 is a term because A255217(5) = 2*3*5*7*11 mod (2+3+5+7+11) = 14 divides 2*3*5*7*11.
MAPLE
P:= 1: S:= 0: p:= 1:
count:= 0: R:= NULL:
for n from 1 while count < 100 do
p:= nextprime(p);
P:= P*p; S:= S+p;
r:= P mod S;
if r = 0 then next fi;
v:= P mod r;
if v = 0 then
count:= count+1; R:= R, n;
fi
od:
R;
MATHEMATICA
Select[Range[200], (m = Mod[Times @@ (p = Prime[Range[#]]), Plus @@ p]) > 0 && Divisible[Times @@ p, m] &] (* Amiram Eldar, Nov 28 2021 *)
CROSSREFS
Cf. A002110, A007504, A255217. Contains A349734.
Sequence in context: A277854 A120770 A266990 * A336866 A255213 A226447
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Nov 28 2021
STATUS
approved