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Search: id:A101581
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| A101581 |
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Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 41 for n > 0. |
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+0
1
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| 0, 2, 3, 5, 9, 20, 29, 71, 198, 207, 269, 395, 618, 758, 1076, 1382, 1565, 1959, 2652, 3503, 3785, 6084
(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 (490*10^n + 41)/9 is prime.
Numbers n such that digit 5 followed by n >= 0 occurrences of digit 4 followed by digit 9 is prime.
Numbers corresponding to terms <= 758 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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5449 is prime, hence 2 is a term.
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PROGRAM
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(PARI) a=59; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-41)
(PARI) for(n=0, 1500, if(isprime((490*10^n+41)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A103016(n) - 1.
Sequence in context: A113984 A110542 A101542 this_sequence A105180 A094206 A118998
Adjacent sequences: A101578 A101579 A101580 this_sequence A101582 A101583 A101584
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KEYWORD
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nonn,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 09 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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