A281093 Primes that only use digits that survived in the movie 9: {3, 4, 7, 9}.

3, 7, 37, 43, 47, 73, 79, 97, 337, 347, 349, 373, 379, 397, 433, 439, 443, 449, 479, 499, 733, 739, 743, 773, 797, 937, 947, 977, 997, 3343, 3347, 3373, 3433, 3449, 3499, 3733, 3739, 3779, 3793, 3797, 3943, 3947, 4337, 4339, 4349, 4373, 4397, 4447, 4493, 4733

Offset

1,1

Comments

The Fibonacci prime 433494437 is in this sequence.

Links

Table of n, a(n) for n=1..50.

Wikipedia, 9 (2009 animated film)

Formula

a(n) >> n^k, where k = log(10)/log(4) = 1.660964.... - Charles R Greathouse IV, Jan 24 2017

Prog

(PARI) is(n)=#setunion(Set(digits(n)), [3, 4, 7, 9])==4 && isprime(n) \\ Charles R Greathouse IV, Jan 24 2017

Crossrefs

Cf. A091633.

Sequence in context: A270396 A167169 A269995 * A199347 A252795 A049493

Adjacent sequences: A281090 A281091 A281092 * A281094 A281095 A281096

Keyword

base,nonn

Author

Bobby Jacobs, Jan 24 2017

Status

approved