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A101059
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Indices of primes in sequence defined by A(0) = 87, A(n) = 10*A(n-1) - 53 for n > 0.
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1
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2, 8, 16, 152, 193, 640, 674, 1460, 26428, 48460, 72734
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OFFSET
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1,1
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COMMENTS
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Numbers n such that (730*10^n + 53)/9 is prime.
Numbers n such that digit 8 followed by n >= 0 occurrences of digit 1 followed by digit 7 is prime.
Numbers corresponding to terms <= 674 are certified primes.
a(12) > 10^5. - Robert Price, Oct 09 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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a(n) = A103072(n) - 1. - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
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EXAMPLE
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8117 is prime, hence 2 is a term.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(730*10^# + 53)/9] &] (* Robert Price, Oct 09 2015 *)
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PROG
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(PARI) a=87; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-53)
(PARI) for(n=0, 1500, if(isprime((730*10^n+53)/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), Nov 30 2004
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EXTENSIONS
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STATUS
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approved
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