login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A084670 Numbers k such that concatenation of prime(k) and k is prime. 2

%I #20 Apr 09 2022 09:31:00

%S 3,9,19,21,37,63,77,81,87,107,121,133,177,201,211,213,217,281,293,303,

%T 321,327,329,333,351,391,393,439,481,503,507,519,543,547,551,561,579,

%U 581,599,621,639,657,663,667,711,721,727,743,793,813,819,827,829,831,837

%N Numbers k such that concatenation of prime(k) and k is prime.

%H Harvey P. Dale, <a href="/A084670/b084670.txt">Table of n, a(n) for n = 1..1000</a>

%e 9 is a term because prime(9) = 23 and concatenation of 23 and 9 is prime

%t Select[Range[1000],PrimeQ[Prime[#]10^IntegerLength[#]+#]&] (* _Harvey P. Dale_, Apr 09 2022 *)

%o (PARI) is(k) = ispseudoprime(eval(Str(prime(k), k))); \\ _Jinyuan Wang_, Apr 10 2020

%o (Python)

%o from sympy import isprime, prime

%o def aupto(lim):

%o return [k for k in range(1, lim+1) if isprime(int(str(prime(k))+str(k)))]

%o print(aupto(837)) # _Michael S. Branicky_, Mar 09 2021

%Y Cf. A075110, A084669.

%K nonn,base

%O 1,1

%A _Zak Seidov_, Jun 29 2003

%E More terms from _Jinyuan Wang_, Apr 10 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)