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A101590
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Indices of primes in sequence defined by A(0) = 53, A(n) = 10*A(n-1) + 63 for n > 0.
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1
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0, 1, 4, 5, 6, 10, 16, 28, 41, 46, 95, 107, 165, 209, 330, 1021, 3592, 4425, 5703, 13935, 16485, 85909
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OFFSET
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1,3
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COMMENTS
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Numbers n such that (540*10^n - 63)/9 is prime.
Numbers n such that digit 5 followed by n >= 0 occurrences of digit 9 followed by digit 3 is prime.
Numbers corresponding to terms <= 330 are certified primes.
a(23) > 2*10^5. - Robert Price, Aug 07 2015
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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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593 is prime, hence 1 is a term.
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MATHEMATICA
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Select[Range[0, 200000], PrimeQ[(540*10^# - 63)/9] &] (* Robert Price, Aug 07 2015 *)
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PROG
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(PARI) a=53; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+63)
(PARI) for(n=0, 1500, if(isprime((540*10^n-63)/9), print1(n, ", ")))
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 09 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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