A329150 - OEIS

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A329150

Increasingly ordered list without repetition of numbers k that are obtained, when, for nonnegative integers n, each nonzero digit d is replaced with prime(d).

0, 2, 3, 5, 7, 11, 13, 17, 19, 20, 22, 23, 25, 27, 30, 32, 33, 35, 37, 50, 52, 53, 55, 57, 70, 72, 73, 75, 77, 110, 112, 113, 115, 117, 130, 132, 133, 135, 137, 170, 172, 173, 175, 177, 190, 192, 193, 195, 197, 200, 202, 203, 205, 207, 211, 213, 217, 219, 220

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

As A329147 is not increasing, not decreasing, not surjective, not injective, another possible name could be: Terms of A329147 in increasing order without repetition.

No term can have digits 4, 6 or 8; also, no term begins with 9, 10, 12, 15, 29, 39, 59 or 79.

First primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 37, 53, ...

First squares are 0, 25, 225, 2025, 2500, 3025, 7225, ...

First palindromes are 0, 2, 3, 5, 7, 11, 22, 33, 55, 77, 202, 222, 232, ...

LINKS

Michel Marcus, Table of n, a(n) for n = 1..5365

EXAMPLE

Prime(1) = 2, prime(5) = 11, so A329147(15) = 211 and 211 is a term.

PROG

(PARI) f(n) = if (n, fromdigits(concat(apply(d -> if (d, digits(prime(d)), [0]), digits(n)))), 0); \\ A329147

lista(nn) = my(list = List(), m); for (n=0, nn, m = f(n); if (m <= nn, listput(list, m)); ); Set(list); \\ Michel Marcus, Mar 26 2023

CROSSREFS