A124888 Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).

23, 37, 53, 73, 223, 227, 233, 257, 277, 337, 353, 373, 523, 557, 577, 727, 733, 757, 773, 22273, 22277, 22573, 22727, 22777, 23227, 23327, 23333, 23357, 23537, 23557, 23753, 23773, 25237, 25253, 25357, 25373, 25523, 25537, 25577, 25733, 27253, 27277

Offset

1,1

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

József Bölcsföldi, György Birkás, Miklós Ferenczi, Bölcsföldi-Birkás-Ferenczi prime numbers (Full prime numbers), International Journal of Mathematics and Statistics Invention (IJMSI), Volume 5, Issue 2, February 2017, pp. 4-7.

Prog

(PARI) isok(p) = isprime(p) && (d=digits(p)) && isprime(#d) && vecmin(vector(#d, k, isprime(d[k]))); \\ Michel Marcus, Sep 21 2017
(Python)
from sympy import isprime, prime
from itertools import count, islice, product
def agen(): yield from filter(isprime, (int("".join(s)+e) for i in count(1) for s in product("2357", repeat=prime(i)-1) for e in "37"))
print(list(islice(agen(), 42))) # Michael S. Branicky, Jun 23 2022

Crossrefs

Cf. A019546, A120533.

Sequence in context: A092622 A129351 A179910 * A141521 A080906 A358421

Adjacent sequences: A124885 A124886 A124887 * A124889 A124890 A124891

Keyword

nonn,base

Author

Lekraj Beedassy, Nov 12 2006

Extensions

Terms 773, 23753 inserted by Georg Fischer, Jun 23 2022

Status

approved