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A271322
Largest prime factor of the n-th n-gonal number (A060354).
4
2, 3, 2, 7, 11, 7, 11, 29, 37, 23, 7, 67, 79, 23, 53, 17, 137, 19, 43, 191, 211, 29, 127, 277, 43, 163, 11, 379, 37, 109, 233, 71, 23, 281, 149, 631, 29, 13, 53, 71, 821, 431, 113, 947, 991, 47, 541, 1129, 107, 613, 29, 1327, 197, 179, 743, 67, 1597, 827
OFFSET
2,1
LINKS
FORMULA
a(n) = A006530(A060354(n)).
EXAMPLE
a(5) = 7 because A060354(5) = 35 = 5 * 7.
PROG
(PARI)
pg(m, n) = (n^2*(m-2)-n*(m-4))/2 \\ n-th m-gonal number
lpf(m) = vecmax(factorint(m)[, 1]) \\ Largest prime factor
a(n) = lpf(pg(n, n))
vector(100, n, n++; a(n))
CROSSREFS
KEYWORD
nonn
AUTHOR
Colin Barker, Apr 04 2016
STATUS
approved