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Search: id:A101132
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| A101132 |
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Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 71 for n > 0. |
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+0
1
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| 0, 1, 3, 16, 24, 31, 49, 73, 172, 1723, 2083
(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 (640*10^n + 71)/9 is prime.
Numbers n such that digit 7 followed by n >= 0 occurrences of digit 1 followed by digit 9 is prime.
Numbers corresponding to terms <= 172 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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EXAMPLE
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71119 is prime, hence 3 is a term.
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PROGRAM
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(PARI) a=79; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a-71)
(PARI) for(n=0, 1000, if(isprime((640*10^n+71)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A103051(n) - 1.
Sequence in context: A041461 A031071 A028687 this_sequence A153723 A091273 A132049
Adjacent sequences: A101129 A101130 A101131 this_sequence A101133 A101134 A101135
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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 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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