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A101739
Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) + 63 for n > 0.
2
0, 2, 3, 7, 13, 15, 23, 60, 79, 86, 103, 107, 143, 2156, 3324, 4121, 20717, 51162, 140743
OFFSET
1,2
COMMENTS
Numbers n such that (450*10^n - 63)/9 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 9 followed by digit 3 is prime.
Numbers corresponding to terms <= 143 are certified primes.
a(20) > 2*10^5. - Robert Price, Sep 15 2015
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A103002(n) - 1.
EXAMPLE
4993 is prime, hence 2 is a term.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[(450*10^# - 63)/9] &] (* Robert Price, Sep 15 2015 *)
PROG
(PARI) a=43; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+63)
(PARI) for(n=0, 1500, if(isprime((450*10^n-63)/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 01 2008
a(17)-a(18) from Kamada data by Ray Chandler, May 01 2015
a(19) from Robert Price, Sep 15 2015
STATUS
approved