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Super Unitary Amicable Pair

Two integers (m,n) form a super unitary amicable pair if

sigma^*(sigma^*(m))=sigma^*(sigma^*(n))=m+n,

where sigma^*(n) is the unitary divisor function. The first few pairs are (105, 155), (110, 142), (2145, 3055), (47802, 65278), (125460, 164492), ... (OEIS A045613 and A045614).

See also

Amicable Pair, Unitary Amicable Pair, Unitary Divisor Function

This entry contributed by Yasutoshi Kohmoto

References

Sloane, N. J. A. Sequences A045613 and A045614 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Super Unitary Amicable Pair

Cite this as:

Kohmoto, Yasutoshi. "Super Unitary Amicable Pair." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SuperUnitaryAmicablePair.html