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

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, 104, 200, 1, 343, 1, 5, 1, 8, 81, 243, 640, 256, 81, 23, 25, 243, 9, 11, 139, 512, 10, 81, 1, 125, 1, 25, 192, 1024, 99, 625, 1, 875, 53, 128, 11, 1024, 25, 459, 128, 648, 1, 1, 512, 7, 1

Offset: 1

Author

T. D. Noe, Jun 01 2007

Keywords

• nonn

Links

• T. D. Noe, Table of n, a(n) for n=1..1269

Crossrefs

Cf. A130510.

Programs

Python

from itertools import count, islice
from math import prod, gcd
from sympy import primefactors
def A130511_gen(): # generator of terms
    for c in count(1):
        pc = set(primefactors(c))
        for a in range(1,(c>>1)+1):
            b = c-a
            if gcd(a,b)==1 and c>prod(set(primefactors(a))|set(primefactors(b))|pc):
                yield a
A130511_list = list(islice(A130511_gen(),30)) # Chai Wah Wu, Oct 19 2023