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A348440
Records in A088177.
5
1, 2, 3, 5, 6, 7, 11, 12, 13, 17, 19, 23, 25, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293
OFFSET
1,2
COMMENTS
Apparently the terms agree with the prime numbers A000040, beginning at 29. - Hugo Pfoertner, Oct 21 2021
MATHEMATICA
Block[{c, m = 1, n}, Union@ FoldList[Max, {1}~Join~Reap[Do[n = 1; While[IntegerQ[c[m n]], n++]; Sow[n]; Set[c[m n], 1]; m = n, 2^12]][[-1, -1]]]] (* Michael De Vlieger, Oct 21 2021 *)
PROG
(Python)
from itertools import islice
def A348440(): # generator of terms
yield 1
c, p, a = 1, {1}, 1
while True:
n, na = 1, a
while na in p:
n += 1
na += a
p.add(na)
a = n
if c < n:
c = n
yield c
A348440_list = list(islice(A348440(), 100)) # Chai Wah Wu, Oct 21 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 21 2021
STATUS
approved