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URL: https://oeis.org/A392104

⇱ A392104 - OEIS


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A392104
a(n) = prime(A391796(n)).
1
5, 23, 47, 251, 1889, 7793, 43451, 243161, 726893, 759821, 1820123, 1820111, 10141499, 19725479, 19725473, 136209239, 400414127, 400414121, 489144659, 489144599, 766319201, 766319189, 21549657581, 21549657551, 21549657539, 140432294399, 140432294381, 437339303279
OFFSET
1,1
MATHEMATICA
t = Table[Mod[Prime[nn], 3], {nn, 10^8}]; (* A039701 *)
u = Map[SequencePosition[t, Flatten[Join[{ConstantArray[2, #], 1}]], 1] &, Range[21]]
Prime[Table[First[Flatten[u[[n]]]], {n, 1, 21}]]
(* Peter J. C. Moses, Dec 11 2025 *)
PROG
(Python)
from sympy import nextprime, prime
from itertools import count, islice
def agen(NN=10000): # generator of terms for n <= NN
n, pk, residues = 1, 1, "X"*NN
for k in count(1):
pk = nextprime(pk)
resk = pk%3
if resk == 1:
while residues.endswith("2"*n) and n <= NN:
yield prime(k-n)
n += 1
residues = residues[1:] + str(resk)
print(list(islice(agen(), 12))) # Michael S. Branicky, Jan 11 2026
CROSSREFS
Sequence in context: A107011 A031387 A057622 * A055626 A127200 A147113
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 08 2026
EXTENSIONS
a(22)-a(27) from Michael S. Branicky, Jan 11 2026
a(28) from Jinyuan Wang, Jan 16 2026
STATUS
approved