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A101830
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Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 43 for n > 0.
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1
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OFFSET
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1,2
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COMMENTS
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Numbers n such that (290*10^n + 43)/9 is prime.
Numbers n such that digit 3 followed by n >= 0 occurrences of digit 2 followed by digit 7 is prime.
Number corresponding to term 41 is a certified prime. No further terms up to 5000.
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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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37 is prime, hence 0 is a term.
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PROG
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(PARI) a=37; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-43)
(PARI) for(n=0, 1500, if(isprime((290*10^n+43)/9), print1(n, ", ")))
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CROSSREFS
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KEYWORD
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nonn,bref,hard,more
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AUTHOR
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Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004
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EXTENSIONS
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5021 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
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STATUS
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approved
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