[seqfan] The least Amicable Pair whose smallest Prime factor is P (n)

zbi74583_boat at yahoo.co.jp zbi74583_boat at yahoo.co.jp
Tue Sep 25 09:44:51 CEST 2018


    Hi  seqfans    s(n) : The least Amicable Pair whose smallest Prime factor is Prime(n)
    {220,284}, {12285,14595}, {42262694537514864075544955198125, 42405817271188606697466971841875},
{7^4*11*13^2*17*19*23^2*29*31*37*53*59^2*61*71*79*97*139*193*211*283*439*467*643*659*877*1259*1459^2*1667*1699*2801*2917*3541*74587*366983*2201897*19126727*714991703*22108315965121*8689461455946208667857*89*100329964009286143948575662850542265921787709,7^4*11*13^2*17*19*23^2*29*31*37*53*59^2*61*71*79*97*139*193*211*283*439*467*643*659*877*1259*1459^2*1667*1699*2801*2917*3541*74587*366983*2201897*19126727*714991703*22108315965121*8689461455946208667857*9029696760835752955371809656548803932960893899}
 The third term and the forth term are known the least. s(3) is from "Amicable Pair" on MathWorld. s(4) is my result It is interesting unknown problem to compute s(3) or s(4)


 Yasutoshi


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