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Search: id:A096915
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| A096915 |
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Smallest prime which when appended to n produces a prime. |
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+0
8
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| 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 7, 23, 7, 3, 3, 11, 3, 11, 11, 3, 3, 11, 7, 3, 7, 3, 3, 7, 3, 17, 7, 7, 3, 7, 3, 3, 7, 13, 11, 11, 3, 3, 7, 3, 23, 7, 19, 3, 13, 3, 23, 7, 7, 3, 7, 7, 3, 7, 3, 11, 11, 3, 3, 19, 3, 3, 11, 13, 29, 7, 3, 3, 7, 43, 3, 7, 7, 11, 11, 3, 11, 19, 3, 3, 7, 3, 23, 7, 37, 41
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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EXAMPLE
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a(20)=11 because 11 is prime and 2011 is the smallest prime starting with 20 (2003 is not allowed).
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MATHEMATICA
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f[n_] := Block[{p = 2, a = IntegerDigits[n]}, While[ !PrimeQ[ FromDigits[ Join[a, IntegerDigits[ Prime[p]]] ]], p++ ]; Prime[p]]; Table[ f[n], {n, 92}] (from Robert G. Wilson v Aug 20 2004)
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PROGRAM
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(PARI) A096915(n) = { local(p=1); until(isprime(eval(Str(n, p=nextprime(p+2)))), ); p} [From M. F. Hasler (MHasler(AT)univ-ag.fr), Jan 05 2009]
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CROSSREFS
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Cf. A088606, A089777 (the resulting primes). Records: A137177, A144593.
Sequence in context: A076217 A089488 A076560 this_sequence A100803 A036840 A159913
Adjacent sequences: A096912 A096913 A096914 this_sequence A096916 A096917 A096918
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KEYWORD
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nonn,base
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AUTHOR
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Bodo Zinser (BodoZinser(AT)CosmoData.net), Aug 18 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 20 2004
Cross-reference to indices of records corrected by M. F. Hasler (MHasler(AT)univ-ag.fr), Jan 14 2009
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