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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A101715 Indices of primes in sequence defined by A(0) = 49, A(n) = 10*A(n-1) - 81 for n > 0. 0
1, 3, 4, 7, 8, 27, 190, 195, 2037 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that 40*10^n + 9 is prime.

Numbers n such that digit 4 followed by n >= 0 occurrences of digit 0 followed by digit 9 is prime.

Numbers corresponding to terms <= 195 are certified primes.

REFERENCES

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

LINKS

Makoto Kamada, Factorizations of near-repdigit numbers.

EXAMPLE

40009 is prime, hence 3 is a term.

PROG

(PARI) a=49; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-81)

(PARI) for(n=0, 1500, if(isprime(40*10^n+9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A101394(n) - 1.

Sequence in context: A117587 A130420 A169943 * A169893 A169899 A075773

Adjacent sequences:  A101712 A101713 A101714 * A101716 A101717 A101718

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 14 2004

EXTENSIONS

2037 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 14 09:57 EST 2012. Contains 205614 sequences.