The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A101972 Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 1 for n > 0. 1

%I #14 Jan 17 2019 13:44:06

%S 0,6,7,10,13,18,31,40,52,60,132,156,238,1236,30253,34422,139288

%N Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 1 for n > 0.

%C Numbers n such that (260*10^n + 1)/9 is prime.

%C Numbers n such that digit 2 followed by n >= 0 occurrences of digit 8 followed by digit 9 is prime.

%C Numbers corresponding to terms <= 238 are certified primes.

%C a(18) > 2*10^5. - Robert Price, Jan 29 2015

%D Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/2/28889.htm#prime">Prime numbers of the form 288...889</a>.

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.

%F a(n) = A102963(n+1) - 1.

%e 28888889 is prime, hence 6 is a term.

%t Flatten[Position[Table[FromDigits[Join[PadRight[{2},n,8],{9}]],{n,1300}],_?PrimeQ]]-1 (* _Harvey P. Dale_, Sep 22 2012 *)

%o (PARI) a=29;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a-1)

%o (PARI) for(n=0,1500,if(isprime((260*10^n+1)/9),print1(n,",")))

%Y Cf. A000533, A002275, A102963.

%K nonn,hard,more

%O 1,2

%A _Klaus Brockhaus_ and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 23 2004

%E a(15)-a(17) derived from A102963 by _Robert Price_, Jan 29 2015

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 June 7 20:29 EDT 2024. Contains 373206 sequences. (Running on oeis4.)