|
|
A101713
|
|
Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) - 27 for n > 0.
|
|
1
|
|
|
0, 2, 6, 9, 39, 418, 448, 1736, 2244, 3130, 3812, 5344, 5658, 5680, 8409, 9096, 11292, 21060
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Numbers n such that 40*10^n + 3 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 0 followed by digit 3 is prime.
Numbers corresponding to terms <= 448 are certified primes.
|
|
REFERENCES
|
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
4003 is prime, hence 2 is a term.
|
|
MATHEMATICA
|
Select[Range[0, 300], PrimeQ[40*10^#+3]&] (* Robert Price, Jul 17 2015 *)
|
|
PROG
|
(PARI) a=43; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-27)
(PARI) for(n=0, 1500, if(isprime(40*10^n+3), print1(n, ", ")))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 14 2004
|
|
EXTENSIONS
|
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
|
|
STATUS
|
approved
|
|
|
|