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Search: id:A101962
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| A101962 |
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Indices of primes in sequence defined by A(0) = 27, A(n) = 10*A(n-1) - 13 for n > 0. |
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+0
1
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| 1, 2, 25, 26, 44, 61, 146, 1276, 1664, 1978, 2969
(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 (230*10^n + 13)/9 is prime.
Numbers n such that digit 2 followed by n >= 0 occurrences of digit 5 followed by digit 7 is prime.
Numbers corresponding to terms <= 146 are certified primes.
a(n) = A099006(n) - 1.
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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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2557 is prime, hence 2 is a term.
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PROGRAM
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(PARI) a=27; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-13)
(PARI) for(n=0, 1500, if(isprime((230*10^n+13)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275, A099006.
Sequence in context: A065665 A036502 A076449 this_sequence A092045 A054283 A041723
Adjacent sequences: A101959 A101960 A101961 this_sequence A101963 A101964 A101965
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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 23 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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