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Old 2016-01-30, 18:37   #82
Sergei Chernykh
 
Jun 2015
Stockholm, Sweden

83 Posts
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The first amicable pairs with different smallest prime factors have been found!
Quote:
X43 Chernykh 08 Oct 2015 22:54:20 GMT
445953248528881275=3^2*5^2*7*13*19*37*43*73*439*22483
659008669204392325=5^2*7*13*19*37*73*571*1693*5839

X43 Chernykh 02 Nov 2015 10:54:58 GMT
1097581690986390225=3^3*5^2*7^3*11^2*31*61*4507*4597
1615281291559017775=5^2*7^3*11^2*31*43*2851*409639

54 Chernykh 26 Oct 2015 17:32:43 GMT
1281431098689616875=3*5^4*7*11^2*13*19*373*2503*3499
1769164614201263125=5^4*7*11^2*19*31*97*1699*34429

X43 Chernykh 08 Jan 2016 10:14:39 GMT
1993991197249826775=3^2*5^2*7*11^2*13*109*307*1567*15349
2901232579265245225=5^2*7*11^2*13*307*439*4297*18199

X43 Chernykh 29 Nov 2015 07:59:53 GMT
4438032132485808675=3^2*5^2*7^3*13*31*43*61*1291*42139
6288132595256655325=5^2*7^3*13*31*37*43*103*11103889

X54 Chernykh 31 Oct 2015 09:54:31 GMT
8265325617300085425=3^3*5^2*7*13*19*31*151*727*937*2221
12234092897366205775=5^2*7*13*19*31*109*1567*1741*30703

X54 Chernykh 09 Jan 2016 01:57:14 GMT
9759636606249354825=3^2*5^2*7*11^2*13*139*241*6967*16879
14162430025984014775=5^2*7*11^2*13*223*439*7369*71317
Thanks to Jan Munch Pedersen for noticing this. It wasn't known before whether such amicable pairs exist at all!
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