A344995 Numbers k such that A051709(k)/A173557(k) is a positive natural number and a divisor of k.

4, 6, 12, 28, 42, 312, 456, 496, 588, 828, 1080, 1216, 1242, 1377, 1560, 4560, 5964, 7320, 7480, 7584, 8128, 11400, 13728, 14784, 23760, 33462, 59400, 59520, 124020, 147840, 188600, 277648, 321000, 543552, 1288224, 1510272, 1596048, 1964544, 2038140, 3323736, 3611520, 3780672, 3909816, 6137440, 9034032, 10783890

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Index entries for sequences where odd perfect numbers must occur, if they exist at all

Prog

(PARI)
A051709(n) = ((sigma(n) + eulerphi(n)) - (2*n));
A173557(n) = factorback(apply(p -> p-1, factor(n)[, 1]));
isA344995(n) = { my(u=A051709(n), t=A173557(n), r=u/t); ((u>0)&&(1==denominator(r)&&!(n%r))); };

Crossrefs

Cf. A051709, A173557.

Subsequence of A344994.

Cf. also A344755, A345002.

Sequence in context: A256350 A215177 A294489 * A115076 A126259 A068570

Adjacent sequences: A344992 A344993 A344994 * A344996 A344997 A344998

Keyword

nonn

Author

Antti Karttunen, Jun 05 2021

Status

approved