A354162 Products of exactly two distinct odd primes in A090252, in order of appearance.

21, 55, 85, 57, 161, 319, 217, 481, 205, 731, 517, 159, 1121, 1403, 871, 355, 1241, 869, 2407, 1691, 413, 3007, 2323, 1391, 4033, 565, 5207, 2227, 5891, 6533, 4321, 453, 1007, 623, 4867, 2231, 6161, 2119, 11189, 6401, 12709, 7421, 2159, 9563, 8213, 1507, 15247, 9259, 4031, 12367, 597, 2869, 11183, 1561, 13393, 7099, 3611, 14213, 24823

Offset

1,1

Comments

Odd terms in A354160. - Chai Wah Wu, May 31 2022

Links

Table of n, a(n) for n=1..59.

Prog

(Python)
from itertools import count, islice
from collections import deque
from math import gcd, lcm
from sympy import factorint
def A354162_gen(): # generator of terms
    aset, aqueue, c, b, f = {1}, deque([1]), 2, 1, True
    while True:
        for m in count(c):
            if m not in aset and gcd(m, b) == 1:
                if m % 2 and len(fm := factorint(m)) == sum(fm.values()) == 2:
                    yield m
                aset.add(m)
                aqueue.append(m)
                if f: aqueue.popleft()
                b = lcm(*aqueue)
                f = not f
                while c in aset:
                    c += 1
                break
A354162_list = list(islice(A354162_gen(), 25)) # Chai Wah Wu, May 31 2022

Crossrefs

Cf. A090252, A354159, A354160, A354161, A354163.

Sequence in context: A190664 A144302 A347373 * A180674 A067431 A083676

Adjacent sequences: A354159 A354160 A354161 * A354163 A354164 A354165

Keyword

nonn

Author

N. J. A. Sloane, May 30 2022

Status

approved