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A101528
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Indices of primes in sequence defined by A(0) = 63, A(n) = 10*A(n-1) + 13 for n > 0.
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1
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1, 4, 5, 10, 14, 68, 89, 133, 188, 244, 266, 269, 469, 1574, 2294, 2506, 3511, 3824, 6856, 11021, 11656, 17498, 35035, 41965, 50557, 93061
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OFFSET
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1,2
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COMMENTS
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Numbers n such that (580*10^n - 13)/9 is prime.
Numbers n such that digit 6 followed by n >= 0 occurrences of digit 4 followed by digit 3 is prime.
Numbers corresponding to terms <= 469 are certified primes.
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REFERENCES
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Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
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LINKS
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FORMULA
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EXAMPLE
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6444443 is prime, hence 5 is a term.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(580*10^# - 13)/9] &] (* Robert Price, Sep 12 2015 *)
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PROG
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(PARI) a=63; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a+13)
(PARI) for(n=0, 1000, if(isprime((580*10^n-13)/9), print1(n, ", ")))
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 06 2004
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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
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STATUS
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approved
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