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Search: id:A114787
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| A114787 |
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Smallest prime of the form: all fives followed by prime(n). a(n) >prime(n). 0 if no such prime exists. |
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| 0, 53, 0, 557, 55511, 55555555555555555555555555555555555555555555555555555555555555555555513, 55555517, 5519, 523, 55529, 5531
(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 fives followed by prime(n). Conjecture: No term is zero for n > 3.
The next sequence in this progression, "Smallest prime of the form: all sixes followed by prime(n), a(n)> prime(n)", begins 0, 0, 0, 67, then (5) = 2*(10^5039 - 1)/3 - 55, a number that consists of 5037 sixes followed by 2 ones. This does not fit into the constraints of the OEIS. njas, Nov 20 2005, based on information from Hans Havermann.
The large prime here is only a probable prime. The next term, if it exists, is more than 10^1000, followed by 541 55555543 547 55555553 55555559 ... - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 06 2006
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EXAMPLE
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a(5) = 55511, as 511, 5511 are composite, prime(5) = 11.
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CROSSREFS
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Cf. A114783, A114784, A114785, A114786.
Sequence in context: A070908 A038778 A116107 this_sequence A051320 A078681 A143294
Adjacent sequences: A114784 A114785 A114786 this_sequence A114788 A114789 A114790
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KEYWORD
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base,more,nonn,new
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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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