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A130512 ABC conjecture: values of rad(a*b*c) in the list of "abc-hits". 11

%I #7 Oct 19 2023 22:32:07

%S 6,30,42,42,30,42,110,30,210,66,210,210,78,210,102,210,210,390,182,

%T 114,462,390,210,510,390,546,330,390,690,930,770,410,210,570,462,330,

%U 1122,1110,1518,1230,690,1190,570,1122,1122,834,2010,390,1794,1974,510,210

%N ABC conjecture: values of rad(a*b*c) in the list of "abc-hits".

%H T. D. Noe, <a href="/A130512/b130512.txt">Table of n, a(n) for n=1..1269</a>

%o (Python)

%o from itertools import count, islice

%o from math import prod, gcd

%o from sympy import primefactors

%o def A130512_gen(): # generator of terms

%o for c in count(1):

%o pc = set(primefactors(c))

%o for a in range(1,(c>>1)+1):

%o b = c-a

%o if gcd(a,b)==1 and c>(d:=prod(set(primefactors(a))|set(primefactors(b))|pc)):

%o yield d

%o A130512_list = list(islice(A130512_gen(),30)) # _Chai Wah Wu_, Oct 19 2023

%Y Cf. A130510.

%K nonn

%O 1,1

%A _T. D. Noe_, Jun 01 2007

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Last modified September 3 12:40 EDT 2024. Contains 375670 sequences. (Running on oeis4.)