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A351459
Intersection of A349745 and A351458: numbers k for which k * gcd(sigma(k), A003961(k)) is equal to sigma(k) * gcd(k, A003961(k)) and also k * gcd(sigma(k), A276086(k)) is equal to sigma(k) * gcd(k, A276086(k)).
5
1, 345080736, 459818240, 51001180160
OFFSET
1,2
COMMENTS
All 3-perfect numbers (A005820) that are even and not multiples of 3 are included in this sequence, including also any hypothetical term of the form 4u+2.
If A323653 is indeed a subsequence of this sequence, then there are no odd perfect numbers. - Antti Karttunen, Jul 17 2023
CROSSREFS
Intersection of A349745 and A351458.
Cf. A323653 (conjectured subsequence, all 23 known terms are present).
Sequence in context: A113739 A159448 A316745 * A358705 A015381 A257384
KEYWORD
nonn,more
AUTHOR
Antti Karttunen, Feb 18 2022
STATUS
approved