login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A056246 Indices of primes in sequence defined by A(0) = 11, A(n) = 10*A(n-1) + 41 for n > 0. 0
0, 1, 3, 19, 31, 399, 561, 7015, 37683 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (140*10^n - 41)/9 is a prime.

Numbers n such that digit 1 followed by n >= 0 occurrences of digit 5 followed by digit 1 is a prime.

Numbers corresponding to terms <= 561 are certified primes.

a(n) = A082699(n-2) - 2 for n > 1.

REFERENCES

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

LINKS

Makoto Kamada, Factorizations of 155...551.

EXAMPLE

151 is a prime, hence 1 is a term.

PROG

(PARI) a=11; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+41)

(PARI) for(n=0, 1500, if(isprime((140*10^n-41)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275, A082699.

Sequence in context: A066811 A162307 A128069 * A061427 A069516 A098856

Adjacent sequences:  A056243 A056244 A056245 * A056247 A056248 A056249

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 18 2000

EXTENSIONS

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

Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 15 2007

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 10:57 EST 2012. Contains 206009 sequences.