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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A101142 Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 41 for n > 0. 0
0, 3, 6, 33, 81, 450, 771, 2553, 6249 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (670*10^n + 41)/9 is prime.

Numbers n such that digit 7 followed by n >= 0 occurrences of digit 4 followed by digit 9 is prime.

Numbers corresponding to terms <= 771 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

74449 is prime, hence 3 is a term.

PROG

(PARI) a=79; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a-41)

(PARI) for(n=0, 1000, if(isprime((670*10^n+41)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A103059(n) - 1.

Sequence in context: A133665 A124178 A192166 * A186750 A203715 A134748

Adjacent sequences:  A101139 A101140 A101141 * A101143 A101144 A101145

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 03 2004

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 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 16 21:51 EST 2012. Contains 205978 sequences.