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Search: id:A101067
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| A101067 |
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Indices of primes in sequence defined by A(0) = 83, A(n) = 10*A(n-1) + 13 for n > 0. |
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+0
1
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| 0, 2, 3, 9, 14, 24, 68, 158, 165, 260, 441, 1338, 1796, 2169, 3162, 3471, 4916
(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 (760*10^n - 13)/9 is a prime.
Numbers n such that digit 8 followed by n >= 0 occurrences of digit 4 followed by digit 3 is prime.
Numbers corresponding to terms <= 441 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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FORMULA
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a(n) = A103080(n) - 1. - Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
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EXAMPLE
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84443 is prime, hence 3 is a term.
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PROGRAM
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(PARI) a=83; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+13)
(PARI) for(n=0, 1500, if(isprime((760*10^n-13)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
Sequence in context: A116222 A048038 A113501 this_sequence A056645 A047171 A094557
Adjacent sequences: A101064 A101065 A101066 this_sequence A101068 A101069 A101070
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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), Nov 30 2004
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EXTENSIONS
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5 more terms from Ryan Propper (rpropper(AT)stanford.edu), Jun 18 2005
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