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A126166 Larger member of each exponential amicable pair. 6
100548, 502740, 968436, 1106028, 1307124, 1709316, 2312604, 2915892, 3116988, 3720276, 4122468, 4323564, 4725756, 5027400, 4842180, 5329044 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

This sequence includes the largest member of all exponential amicable pairs and does not discriminate between primitive and nonprimitive pairs.

REFERENCES

Hagis, Peter Jr.; Some Results Concerning Exponential Divisors, Internat. J. Math. & Math. Sci., Vol. 11, No. 2, (1988), pp. 343-350.

LINKS

Ant King, Mathematica programs for A126164 - A126166

Moews, David, Perfect, amicable and sociable numbers.

Pedersen J. M., Known exponential amicable pairs.

FORMULA

The values of n for which esigma(m)=esigma(n)=m+n and m<n, where esigma is defined in A051377

EXAMPLE

a(3)= 968436 because (937692,968436) is the third exponential amicable pair

CROSSREFS

Cf. A126165, A051377, A054979, A049419, A054980, A126164.

Sequence in context: A119902 A120217 A120218 * A117091 A184788 A043642

Adjacent sequences:  A126163 A126164 A126165 * A126167 A126168 A126169

KEYWORD

nonn

AUTHOR

Ant King (mathstutoring(AT)ntlworld.com), Dec 21 2006

EXTENSIONS

Link corrected and reference added by Andrew Lelechenko (andrew.lelechenko(AT)gmail.com), Dec 04 2011

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Last modified February 16 02:30 EST 2012. Contains 205860 sequences.