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A130511 ABC conjecture: values of a in the list of "abc-hits". 5

%I #7 Oct 19 2023 22:31:57

%S 1,5,1,1,1,32,4,3,1,1,2,7,13,81,1,100,32,5,169,1,27,1,49,81,1,1,25,

%T 104,200,1,343,1,5,1,8,81,243,640,256,81,23,25,243,9,11,139,512,10,81,

%U 1,125,1,25,192,1024,99,625,1,875,53,128,11,1024,25,459,128,648,1,1,512,7,1

%N ABC conjecture: values of a in the list of "abc-hits".

%H T. D. Noe, <a href="/A130511/b130511.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 A130511_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>prod(set(primefactors(a))|set(primefactors(b))|pc):

%o yield a

%o A130511_list = list(islice(A130511_gen(),30)) # _Chai Wah Wu_, Oct 19 2023

%Y Cf. A130510.

%K nonn

%O 1,2

%A _T. D. Noe_, Jun 01 2007

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)