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A362138
a(n) = gpf(a(n-1) + prime(n)) where gpf is the greatest prime factor and a(1)=2.
2
2, 5, 5, 3, 7, 5, 11, 5, 7, 3, 17, 3, 11, 3, 5, 29, 11, 3, 7, 13, 43, 61, 3, 23, 5, 53, 13, 5, 19, 11, 23, 11, 37, 11, 5, 13, 17, 5, 43, 3, 13, 97, 3, 7, 17, 3, 107, 11, 17, 41, 137, 47, 3, 127, 3, 19, 3, 137, 23, 19, 151, 37, 43, 59, 31, 29, 5, 19, 61, 41, 197
OFFSET
1,1
LINKS
Sebastian F. Orellana, Table of n, a(n) for n = 1..10000
EXAMPLE
a(3) = gpf(a(2) + prime(3)) = gpf(5+5) = 5.
MATHEMATICA
gpf[n_] := FactorInteger[n][[-1, 1]]; a[1] = 2; a[n_] := a[n] = gpf[a[n - 1] + Prime[n]]; Array[a, 100] (* Amiram Eldar, Jun 15 2023 *)
PROG
(Python)
from sympy import factorint, prime
list=[2]
num=1
k=50
for i in range(0, k):
list.append(max(factorint(list[i]+prime(i+1))))
print(list)
CROSSREFS
Cf. A006530 (gpf), A000040.
Sequence in context: A074250 A161013 A115522 * A190283 A272414 A194367
KEYWORD
nonn
AUTHOR
STATUS
approved