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Search: id:A101734
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| A101734 |
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Indices of primes in sequence defined by A(0) = 41, A(n) = 10*A(n-1) + 71 for n > 0. |
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+0
1
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OFFSET
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1,2
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COMMENT
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Numbers n such that (440*10^n - 71)/9 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 8 followed by digit 1 is prime.
Number corresponding to term 462 is a certified prime. No further terms up to 5000.
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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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41 is prime, hence 0 is a term.
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PROGRAM
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(PARI) a=41; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+71)
(PARI) for(n=0, 1500, if(isprime((440*10^n-71)/9), print1(n, ", ")))
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CROSSREFS
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Cf. A000533, A002275.
a(n) = A102997(n) - 1.
Sequence in context: A142832 A138956 A107121 this_sequence A059025 A094380 A104397
Adjacent sequences: A101731 A101732 A101733 this_sequence A101735 A101736 A101737
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KEYWORD
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nonn,bref,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 14 2004
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