OFFSET
2,1
COMMENTS
a(2)=3, the smallest term in A065720, primes whose binary representation is also the decimal representation of a prime;
a(3)=157, the smallest integer in both A065720 and A065721, primes p whose base-3 expansion is also the decimal expansion of a prime;
Is this sequence infinite?
a(12) > 10^16. - Giovanni Resta, Aug 01 2018
EXAMPLE
a(2)=3 because 3 is prime, 3_10 = 11_2, and 11 is prime, and 3 is the smallest such number.
a(3)=157 because 157 is prime, 157_10 = 10011101_2, 157_10 = 12211_3, and 10011101 and 12211 are prime, and 157 is the smallest such number. a(4)=157 as well, since 157_10 = 2131_4 and 2131 is also prime.
CROSSREFS
KEYWORD
nonn,base,more
AUTHOR
Jon E. Schoenfield, Jul 16 2018
EXTENSIONS
a(8)-a(10) from Giovanni Resta, Jul 17 2018
a(11) from Giovanni Resta, Jul 24 2018
STATUS
approved