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Search: id:A102014
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| A102014 |
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Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 51 for n > 0. |
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+0
1
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| 0, 1, 3, 6, 9, 12, 13, 21, 22, 28, 37, 49, 52, 66, 103, 349, 375, 411, 1204, 1834, 2509, 2667, 6096, 8295
(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 (120*10^n + 51)/9 is prime.
Numbers n such that digit 1 followed by n >= 0 occurrences of digit 3 followed by digit 9 is prime.
Numbers corresponding to terms <= 411 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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139 is prime, hence 1 is a term.
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PROGRAM
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(PARI) a=19; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-51)
(PARI) for(n=0, 1500, if(isprime((120*10^n+51)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A102933(n) - 1.
Sequence in context: A066662 A092452 A120688 this_sequence A091780 A119888 A003252
Adjacent sequences: A102011 A102012 A102013 this_sequence A102015 A102016 A102017
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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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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
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