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A084743
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Smallest prime of the form n^k + k, or 0 if no such prime exists.
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0
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OFFSET
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1,1
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COMMENTS
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a(5) > 5^18 +18 = 3814697265643. Conjecture: No entry is zero.
See A093324 for the values of k. The next term, a(5) = 5^7954+7954, has 5560 digits and is too large to display here. - T. D. Noe, Oct 05 2007
a(6)-a(10) are 7, 54116956037952111668959660883, 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179109, 83, and 11, respectively. a(11) > 11^190000 + 190000. See A093324 for the k-values. - Derek Orr, Aug 08 2014
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LINKS
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PROG
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(PARI)
a(n)=for(k=1, 8000, s=n^k+k; if(ispseudoprime(s), return(s)))
vector(10, n, a(n)) \\ Derek Orr, Aug 08 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 15 2003
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STATUS
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approved
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