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Search: id:A101726
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| A101726 |
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Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) + 23 for n > 0. |
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+0
1
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| 0, 3, 6, 18, 33, 53, 77, 89, 212, 306, 701, 1455, 2138, 2213, 3065, 9299
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Numbers n such that (410*10^n - 23)/9 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 5 followed by digit 3 is prime.
Numbers corresponding to terms <= 701 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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45553 is prime, hence 3 is a term.
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PROGRAM
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(PARI) a=43; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+23)
(PARI) for(n=0, 1500, if(isprime((410*10^n-23)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A102991(n) - 1.
Sequence in context: A064400 A117863 A103100 this_sequence A034457 A026532 A081150
Adjacent sequences: A101723 A101724 A101725 this_sequence A101727 A101728 A101729
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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 14 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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