A074350 Numbers n such that n and the n-th prime have the same digits.

321, 1384, 1395, 2632, 3751, 4980, 5790, 6106, 6331, 6347, 6397, 6432, 6457, 6581, 6714, 6780, 6931, 7119, 7192, 7341, 7345, 7384, 7795, 7908, 8305, 8351, 8355, 9154, 9551, 10126, 10136, 10169, 10217, 10391, 10396, 10703, 12337, 12434, 12933, 13054, 13074

Offset: 1

Author

Joseph L. Pe, Sep 23 2002

Keywords

• base
• nonn

Examples

			Prime(1384) = 11483 which has the same digits as 1384, so 1384 belongs to the sequence.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Vincenzo Librandi)

Crossrefs

Cf. A000040.

Programs

Mathematica

Select[Range[10^4], Union[IntegerDigits[ # ]] == Union[IntegerDigits[Prime[ # ]]] &]

Python

from sympy import nextprime
from itertools import islice
def agen():
    k, pk = 1, 2
    while True:
        if set(str(k)) == set(str(pk)): yield k
        k, pk = k+1, nextprime(pk)
print(list(islice(agen(), 41))) # Michael S. Branicky, Jul 06 2022

Extensions

More terms from Vincenzo Librandi, Feb 02 2014