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A101521
Indices of primes in sequence defined by A(0) = 69, A(n) = 10*A(n-1) - 71 for n > 0.
1
1, 259, 416, 952, 2137, 2968, 3044, 11776, 23647
OFFSET
1,2
COMMENTS
Numbers n such that (550*10^n + 71)/9 is prime.
Numbers n such that digit 6 followed by n >= 0 occurrences of digit 1 followed by digit 9 is prime.
Numbers corresponding to terms <= 952 are certified primes.
a(10) > 10^5. - Robert Price, Sep 08 2015
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A103029(n) - 1.
EXAMPLE
619 is prime, hence 1 is a term.
MATHEMATICA
Select[Range[0, 10000], PrimeQ[(550*10^# + 71)/9] &] (* Robert Price, Sep 08 2015 *)
PROG
(PARI) a=69; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a-71)
(PARI) for(n=0, 1000, if(isprime((550*10^n+71)/9), print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 06 2004
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
a(8)-a(9) from Kamada data by Ray Chandler, Apr 30 2015
STATUS
approved