# Amicable Pair/Examples/3^4 x 5 x 11 x 5281^19 x 29 x 89 (2 x 1291 x 5281^19 - 1)-3^4 x 5 x 11 x 5281^19 (2^3 x 3^3 x 5^2 x 1291 x 5281^19 - 1)/Historical Note

< Amicable Pair/Examples | 3^4 x 5 x 11 x 5281^19 x 29 x 89 (2 x 1291 x 5281^19 - 1)-3^4 x 5 x 11 x 5281^19 (2^3 x 3^3 x 5^2 x 1291 x 5281^19 - 1)

## Historical Note on Amicable Pair $3^4 \times 5 \times 11 \times 5281^{19} \times 29 \times 89 \paren {2 \times 1291 \times 5281^{19} - 1}$ and $3^4 \times 5 \times 11 \times 5281^{19} \paren {2^3 \times 3^3 \times 5^2 \times 1291 \times 5281^{19} - 1}$

David Wells reports in his *Curious and Interesting Numbers* of $1986$ that this amicable pair was discovered by Hermanus Johannes Joseph te Riele.

He also states that each of the pair has $152$ digits.

However, the most recent (at the time) paper published by te Riele does not mention this pair, and indeed states that the largest pair found was of $38$ digits.

Hence this result needs to be corroborated.

Calculation of this supposed amicable pair is under way.

## Sources

- 1984: Herman J.J. te Riele:
*On generating new amicable pairs from given amicable pairs*(*Math. Comp.***Vol. 42**: 219 – 223) www.jstor.org/stable/2007572 - 1986: David Wells:
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