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Search: id:A114784
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| A114784 |
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Smallest prime of the form: all twos followed by prime(n). a(n) > prime(n). 0 if no such prime exists. |
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5
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| 0, 23, 0, 227, 211, 2213, 22222222222222222222222222222222222222222222222222222222222222222222222222222222\ 22222222222222222222222222222222222222222222222222222222222222222222222222222222\ 2222222222222222222222222222222222222222222217, 2222219, 223, 229, 2222222222222222222222222231, 2237, 241, 2243, 22247
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Prime(n) is all zeros followed by prime(n).This is all twos followed by prime(n). Conjecture: No term is zero except a(1) = a(3) = 0.
a(6) has not been proved prime, but it is a probable prime. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 06 2006
The 206-digit number 222...217 is, in fact, prime, as quickly confirmed by the Magma Calculator (http://magma.maths.usyd.edu.au/calc/). [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Aug 24 2009]
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EXAMPLE
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a(6) = 2213, as 213 is composite prime(6) = 13.
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CROSSREFS
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Cf. A114783.
Sequence in context: A143196 A143197 A092993 this_sequence A141517 A040534 A040533
Adjacent sequences: A114781 A114782 A114783 this_sequence A114785 A114786 A114787
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 17 2005
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 06 2006
Edited by T. D. Noe (noe(AT)sspectra.com), Oct 30 2008
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