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Search: id:A102009
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| A102009 |
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Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) - 7 for n > 0. |
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1
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OFFSET
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1,2
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COMMENT
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Numbers n such that (110*10^n + 7)/9 is prime.
Numbers n such that digit 1 followed by n >= 0 occurrences of digit 2 followed by digit 3 is prime.
Numbers corresponding to terms <= 875 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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EXAMPLE
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1223 is prime, hence 2 is a term.
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PROGRAM
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(PARI) a=13; for(n=0, 1600, if(isprime(a), print1(n, ", ")); a=10*a-7)
(PARI) for(n=0, 1600, if(isprime((110*10^n+7)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A102929(n) - 1.
Sequence in context: A007289 A099765 A096656 this_sequence A135904 A145846 A009566
Adjacent sequences: A102006 A102007 A102008 this_sequence A102010 A102011 A102012
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KEYWORD
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nonn,hard,more
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 28 2004
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