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A101720
Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) - 7 for n > 0.
1
0, 3, 8, 9, 30, 69, 159, 170, 276, 629, 723, 3716, 5541, 5633, 10655, 12723, 31953
OFFSET
1,2
COMMENTS
Numbers n such that (380*10^n + 7)/9 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 2 followed by digit 3 is prime.
Numbers corresponding to terms <= 723 are certified primes.
a(18) > 10^5. - Robert Price, May 09 2015
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A102985(n+1) - 1.
EXAMPLE
42223 is prime, hence 3 is a term.
MATHEMATICA
Select[Range[0, 300], PrimeQ[(380*10^# + 7)/ 9] &] (* Robert Price, May 09 2015 *)
PROG
(PARI) a=43; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-7)
(PARI) for(n=0, 1500, if(isprime((380*10^n+7)/9), 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
a(15)-a(17) from Kamada data by Ray Chandler, Apr 30 2015
STATUS
approved