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A056250 Indices of primes in sequence defined by A(0) = 11, A(n) = 10*A(n-1) + 81 for n > 0. 3
0, 1, 3, 7, 39, 85, 199, 729, 1459, 23671, 28629 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (180*10^n - 81)/9 is prime.

Numbers n such that digit 1 followed by n >= 0 occurrences of digit 9 followed by digit 1 is prime.

Numbers corresponding to terms <= 1459 are certified primes. For larger numbers see P. De Geest, PDP Reference Table.

REFERENCES

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

LINKS

Table of n, a(n) for n=1..11.

Patrick De Geest, PDP Reference Table - 191.

Makoto Kamada, Prime numbers of the form 199...991.

Index entries for primes involving repunits.

FORMULA

a(n) = A082703(n-1) - 2 for n > 1.

EXAMPLE

191 is prime, hence 1 is a term.

MATHEMATICA

Select[Range[0, 2000], PrimeQ[(180 10^# - 81) / 9] &] (* Vincenzo Librandi, Nov 03 2014 *)

PROG

(PARI) a=11; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+81)

(PARI) for(n=0, 1500, if(isprime((180*10^n-81)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275, A068649, A082703.

Sequence in context: A192198 A061931 A057203 * A113870 A209326 A074582

Adjacent sequences:  A056247 A056248 A056249 * A056251 A056252 A056253

KEYWORD

nonn,hard,more

AUTHOR

Robert G. Wilson v, Aug 18 2000

EXTENSIONS

Additional comments from Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 28 2004

Edited by N. J. A. Sloane, Jun 15 2007

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

Updated comments section and a link, by Patrick De Geest, Nov 02 2014

Edited by Ray Chandler, Nov 04 2014

STATUS

approved

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Last modified July 17 01:41 EDT 2018. Contains 312693 sequences. (Running on oeis4.)