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Search: id:A101136
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| A101136 |
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Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 61 for n > 0. |
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+0
1
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| 0, 2, 3, 6, 8, 12, 32, 36, 75, 146, 296, 1850, 3456, 3608
(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 (650*10^n + 61)/9 is prime.
Numbers n such that digit 7 followed by n >= 0 occurrences of digit 2 followed by digit 9 is prime.
Numbers corresponding to terms <= 296 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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72222229 is prime, hence 6 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-61)
(PARI) for(n=0, 1000, if(isprime((650*10^n+61)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A103054(n) - 1.
Adjacent sequences: A101133 A101134 A101135 this_sequence A101137 A101138 A101139
Sequence in context: A085642 A049194 A058298 this_sequence A036957 A022943 A068491
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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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