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A102024
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Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 3 for n > 0.
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0
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0, 1, 2, 4, 8, 10, 13, 31, 53, 54, 59, 152, 199, 460, 568, 839, 846, 1295, 1355, 2006, 2626, 2846, 3109, 6875, 9160
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Numbers n such that (150*10^n + 3)/9 is prime.
Numbers n such that digit 1 followed by n >= 0 occurrences of digit 6 followed by digit 7 is prime.
Numbers corresponding to terms <= 846 are certified primes.
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REFERENCES
| Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
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LINKS
| Makoto Kamada, Factorizations of near-repdigit numbers.
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EXAMPLE
| 167 is prime, hence 1 is a term.
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PROG
| (PARI) a=17; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-3)
(PARI) for(n=0, 1500, if(isprime((150*10^n+3)/9), print1(n, ", ")))
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CROSSREFS
| Cf. A000533, A002275.
a(n) = A102940(n) - 1.
Sequence in context: A190744 A190751 A030232 * A104197 A189792 A189782
Adjacent sequences: A102021 A102022 A102023 * A102025 A102026 A102027
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KEYWORD
| nonn,hard,more
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AUTHOR
| 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
| More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
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