

A007647


Numbers n such that n*10^n + 1 is prime.
(Formerly M2783)


5




OFFSET

1,2


COMMENTS

These are generalized Cullen numbers in base 10.  Julien Peter Benney (jpbenney(AT)ftml.net), Oct 24 2004
No others less than 270026.  Ray Chandler, Apr 10 2016


REFERENCES

J.M. De Koninck, Ces nombres qui nous fascinent, Entry 363, p. 84, Ellipses, Paris 2008.
H. Dubner, Generalized Cullen numbers, J. Rec. Math., 21 (No. 3, 1989), 190191.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=1..10.
Daniel Hermle, First Coordinated Generalized Cullen Prime Search
Guenter Loeh, Generalized Cullen primes.


EXAMPLE

For n = 3 we get (3*10^3)+1 = (3*1000)+1 = 3000 + 1 = 3001, which is prime.
For n = 9 we get 9*10^9+1 = 9*1000000000+1 = 9000000000+1 = 9000000001, which is prime.


PROG

(PARI) is(n)=ispseudoprime(n*10^n+1) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. A004023.
Sequence in context: A193374 A191998 A098980 * A247182 A063586 A131477
Adjacent sequences: A007644 A007645 A007646 * A007648 A007649 A007650


KEYWORD

hard,nonn


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from Julien Peter Benney (jpbenney(AT)ftml.net), Jun 11 2005
Edited by N. J. A. Sloane at the suggestion of Andrew Plewe, Jun 05 2007
a(10) from Loeh link by Ray Chandler, Apr 10 2016


STATUS

approved



