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Search: id:A101713
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| A101713 |
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Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) - 27 for n > 0. |
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+0
1
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| 0, 2, 6, 9, 39, 418, 448, 1736, 2244, 3130, 3812, 5344, 5658, 5680, 8409, 9096
(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 40*10^n + 3 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 0 followed by digit 3 is prime.
Numbers corresponding to terms <= 448 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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4003 is prime, hence 2 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-27)
(PARI) for(n=0, 1500, if(isprime(40*10^n+3), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A101397(n) - 1.
Sequence in context: A093397 A082459 A129831 this_sequence A117541 A095105 A052194
Adjacent sequences: A101710 A101711 A101712 this_sequence A101714 A101715 A101716
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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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