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!)
A090713 Primes whose base-17 expansion is a (valid) decimal expansion of a prime. 2

%I #17 Nov 02 2023 23:41:51

%S 2,3,5,7,37,43,71,103,109,139,347,349,443,449,619,647,683,887,919,

%T 1259,1571,1601,1607,1741,1873,2083,2347,2417,2659,2689,4933,4967,

%U 4973,4999,5651,5783,5821,6163,6673,6803,6971,7079,7243,7351,7591

%N Primes whose base-17 expansion is a (valid) decimal expansion of a prime.

%C See A235126 for the corresponding primes whose base-10 representation is the base-17 representation of the terms here. - _M. F. Hasler_, Jan 05 2014

%H Robert Price, <a href="/A090713/b090713.txt">Table of n, a(n) for n = 1..3754</a>

%e The prime p = 37 is written 23 in base 17, and 23 is again a prime (when interpreted in base 10). Therefore p = 37 is a term of this sequence.

%o (PARI) is_A090713(p)=vecmax(d=digits(p,17))<10&&isprime(vector(#d,i,10^(#d-i))*d~)&&isprime(p) \\ - _M. F. Hasler_, Jan 05 2014

%Y Cf. A090707 - A090721 and further references there.

%K base,nonn

%O 1,1

%A _Cino Hilliard_, Jan 18 2004

%E Edited by _N. J. A. Sloane_, Feb 07 2007, and by _M. F. Hasler_, Jan 03 2014

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 August 14 04:31 EDT 2024. Contains 375146 sequences. (Running on oeis4.)