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Search: id:A101065
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| A101065 |
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Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 51 for n > 0. |
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+0
1
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| 0, 1, 3, 8, 9, 14, 43, 54, 55, 123, 139, 278, 673, 847, 1419, 1461, 3313, 3441, 4140
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Numbers n such that (750*10^n + 51)/9 is prime.
Numbers n such that digit 8 followed by n >= 0 occurrences of digit 3 followed by digit 9 is prime.
Numbers corresponding to terms <= 847 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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Makoto Kamada, Factorizations of near-repdigit numbers.
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FORMULA
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a(n) = A103078(n) - 1. - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
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EXAMPLE
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83339 is prime, hence 3 is a term.
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PROGRAM
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(PARI) a=89; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-51)
(PARI) for(n=0, 1500, if(isprime((750*10^n+51)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
Sequence in context: A082721 A071677 A084747 this_sequence A080517 A099256 A025615
Adjacent sequences: A101062 A101063 A101064 this_sequence A101066 A101067 A101068
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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), Nov 30 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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