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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A101840 Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 3 for n > 0. 0
0, 1, 11, 14, 50, 193, 497, 2135, 2821, 3761, 7427 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (330*10^n + 3)/9 is prime.

Numbers n such that digit 3 followed by n >= 0 occurrences of digit 6 followed by digit 7 is prime.

Numbers corresponding to terms <= 497 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

367 is prime, hence 1 is a term.

PROG

(PARI) a=37; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-3)

(PARI) for(n=0, 1500, if(isprime((330*10^n+3)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102975(n) - 1.

Sequence in context: A043105 A043885 A195818 * A061087 A063964 A174952

Adjacent sequences:  A101837 A101838 A101839 * A101841 A101842 A101843

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004

EXTENSIONS

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 13 19:38 EST 2012. Contains 205536 sequences.