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A101147
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Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 51 for n > 0.
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1
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0, 1, 5, 24, 68, 252, 299, 383, 433, 720, 821, 882, 2191, 2648, 3440, 3444, 8027, 11654
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OFFSET
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1,3
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COMMENTS
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Numbers n such that (690*10^n - 51)/9 is prime.
Numbers n such that digit 7 followed by n >= 0 occurrences of digit 6 followed by digit 1 is prime.
Numbers corresponding to terms <= 882 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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761 is prime, hence 1 is a term.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(690*10^# - 51)/9] &] (* Robert Price, Oct 22 2015 *)
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PROG
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(PARI) a=71; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a+51)
(PARI) for(n=0, 1000, if(isprime((690*10^n-51)/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 03 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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