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A101826
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Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 53 for n > 0.
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0
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OFFSET
| 1,3
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COMMENTS
| Numbers n such that (280*10^n + 53)/9 is prime.
Numbers n such that digit 3 followed by n >= 0 occurrences of digit 1 followed by digit 7 is prime.
Numbers corresponding to terms <= 691 are certified primes.
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REFERENCES
| Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
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LINKS
| Makoto Kamada, Factorizations of near-repdigit numbers.
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EXAMPLE
| 317 is prime, hence 1 is a term.
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MATHEMATICA
| nn=2900; Transpose[Select[Thread[{NestList[10#-53&, 37, nn], Range[0, nn]}], PrimeQ[First[#]]&]] [[2]] (* From Harvey P. Dale, Mar 26 2011 *)
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PROG
| (PARI) a=37; for(n=0, 2000, if(isprime(a), print1(n, ", ")); a=10*a-53)
(PARI) for(n=0, 2000, if(isprime((280*10^n+53)/9), print1(n, ", ")))
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CROSSREFS
| Cf. A000533, A002275.
a(n) = A101393(n) - 1.
Sequence in context: A038594 A020232 A019422 * A020251 A183778 A086026
Adjacent sequences: A101823 A101824 A101825 * A101827 A101828 A101829
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KEYWORD
| nonn,hard,more
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004
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EXTENSIONS
| More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
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