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A108052
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Integers n such that 10^n+19 is a prime number.
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26
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1, 3, 5, 7, 10, 11, 17, 59, 81, 108, 574, 629, 1069, 1759, 2063, 2682, 9174, 40929, 42457, 66033
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Verified terms through 9174. The next term, if one exists, is > 39456. [From Robert Price (pamandbobprice(AT)yahoo.com), May 24 2010]
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable/proven prime - search on "10019".
No other terms <=100,000. - [From Robert Price (pamandbobprice(AT)yahoo.com), March 3 2011]
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LINKS
| Makoto Kamada, List of near-repdigit-related prime numbers.
Index entries for primes involving repunits.
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EXAMPLE
| n = 7 we have 10^7+19 = 10000000+19 = 10000019, which is prime.
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MATHEMATICA
| Select[Range[2*10^3], PrimeQ[10^#+19]&] - Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 29 2008
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CROSSREFS
| Cf. A049054, A088274, A088275, A095688.
Sequence in context: A189220 A189009 A189372 * A046868 A104309 A184586
Adjacent sequences: A108049 A108050 A108051 * A108053 A108054 A108055
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KEYWORD
| more,nonn
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AUTHOR
| Julien Peter Benney (jpbenney(AT)ftml.net), Jun 01 2005
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EXTENSIONS
| a(17)=9174 from Ryan Propper (rpropper(AT)cs.stanford.edu), Jan 02 2008
Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 23 2010
a(18)=40929 and a(19)=42457 from Robert Price (pamandbobprice(AT)yahoo.com), Dec 27 2010
a(20)=66033 from Robert Price (pamandbobprice(AT)yahoo.com), Jan 09 2011
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