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

Sven Simon sven-h.simon at gmx.de
Tue Oct 2 16:53:08 CEST 2018

```Hello together,
The smallest amicable pair prime to 6 is
5480828320492525,5786392931193875 found in amicable prime list from Chernykh having 16 digits (https://sech.me/ap/index.html). The info from MathWorld might be not up to date.
Sven

-----Ursprüngliche Nachricht-----
Von: SeqFan <seqfan-bounces at list.seqfan.eu> Im Auftrag von zbi74583_boat at yahoo.co.jp
Gesendet: Dienstag, 25. September 2018 09:45
An: seqfan at list.seqfan.eu
Betreff: [seqfan] The least Amicable Pair whose smallest Prime factor is P (n)

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

--
Seqfan Mailing list - http://list.seqfan.eu/

```