## Breeder

A pair of Positive Integers such that the equations

have a Positive Integer solution , where is the Divisor Function. If is Prime, then is an Amicable Pair (te Riele 1986). is a special'' breeder if

where and are Relatively Prime, . If regular amicable pairs of type with are of the form with Prime, then are special breeders (te Riele 1986).

References

te Riele, H. J. J. Computation of All the Amicable Pairs Below .'' Math. Comput. 47, 361-368 and S9-S35, 1986.