A067928 -id:A067928 - cp's OEIS frontend

A383318 Lexicographically earliest sequence of distinct terms such that replacing each term k with prime(k) does not change the succession of digits.

6455, 3, 5, 1, 12, 37, 15, 7, 4, 71, 77, 35, 33, 8, 9, 14, 91, 371, 92, 34, 346, 72, 53, 94, 79, 13, 923, 39, 359, 2, 41, 49, 140, 141, 721, 916, 724, 17, 31, 792, 27, 80, 98, 11, 54, 497, 159, 547, 95, 912, 760, 73, 10, 340, 952, 131, 25, 135, 47, 93, 739, 43

Offset: 1

Dominic McCarty, Apr 23 2025

			Let b(n) = prime(a(n))
(a(n)): 6455, 3, 5, 1, 12, 37, 15, 7, 4, 71, 77, ...
(b(n)): 64553,   5, 11, 2, 37, 157,   47, 17, 7, ...

Dominic McCarty, Table of n, a(n) for n = 1..10000

Cf. A383319 (prime(a(n))), A067928, A383320, A383322, A302656.

from sympy import prime
from itertools import count
a, sa, sb = [6455], "6455", "64553"
for _ in range(30):
    a.append(next(n for k in count(1) if not (n := int(sb[len(sa):len(sa)+k])) in a and not (len(sb) > len(sa) + k and sb[len(sa) + k] == "0")))
    sa += str(a[-1]); sb += str(prime(a[-1]))
print(a)

A383319 a(n) = prime(A383318(n)).

Original entry on oeis.org

64553, 5, 11, 2, 37, 157, 47, 17, 7, 353, 389, 149, 137, 19, 23, 43, 467, 2539, 479, 139, 2339, 359, 241, 491, 401, 41, 7219, 167, 2417, 3, 179, 227, 809, 811, 5449, 7159, 5479, 59, 127, 6073, 103, 409, 521, 31, 251, 3547, 937, 3943, 499, 7121, 5791, 367, 29

Offset: 1

Dominic McCarty, Apr 23 2025

Dominic McCarty, Table of n, a(n) for n = 1..10000

Cf. A383318, A067928, A383320, A383322, A302656.

from sympy import prime
from itertools import count
a, b, sa, sb = [6455], [64553], "6455", "64553"
for _ in range(30):
    a.append(next(n for k in count(1) if not (n := int(sb[len(sa):len(sa)+k])) in a and not (len(sb) > len(sa) + k and sb[len(sa) + k] == "0")))
    b.append(prime(a[-1]))
    sa += str(a[-1]); sb += str(b[-1])
print(b)

cp's OEIS Frontend

A383318 Lexicographically earliest sequence of distinct terms such that replacing each term k with prime(k) does not change the succession of digits.

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