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Search: id:A102023
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| A102023 |
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Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 33 for n > 0. |
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+0
1
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| 0, 1, 2, 17, 176, 323, 387, 391, 403, 530, 1082
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Numbers n such that (150*10^n - 33)/9 is prime.
Numbers n such that digit 1 followed by n >= 0 occurrences of digit 6 followed by digit 3 is prime.
Numbers corresponding to terms <= 530 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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EXAMPLE
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163 is prime, hence 1 is a term.
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PROGRAM
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(PARI) a=13; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+33)
(PARI) for(n=0, 1500, if(isprime((150*10^n-33)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A102939(n) - 1.
Sequence in context: A046909 A041879 A011550 this_sequence A058010 A126752 A004029
Adjacent sequences: A102020 A102021 A102022 this_sequence A102024 A102025 A102026
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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 28 2004
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