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Search: id:A146214
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| A146214 |
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a(n) = 10^n-th lower twin prime. |
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+0
4
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| 3, 107, 3821, 79559, 1260989, 18409199, 252427601, 3285916169, 41375648687, 507575862527, 6100479510551
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The Gcc with Gmp program is at the bottom of the link. The link also has a PARI bisection algorithm which gives a very good approximation for the n-th prime number and the n-th twin prime number. For example the 10^10-th lower twin prime approximation is 6100475249386, this has a relative error of 0.000000698... from the actual a(10) above.
The 10^n-th upper twin prime is given as a(n)+2 = (5,109,3823,79561, 1260991,18409201,252427603,...). - M. F. Hasler, Dec 06 2008
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LINKS
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Cino Hilliard, Approximating the n-th lower twin prime
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FORMULA
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a(n) = A001359(10^n) [From M. F. Hasler, Dec 06 2008]
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EXAMPLE
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The first 10 lower twin primes are 3,5,11,17,29,41,59,71,101,107. So 107 is the 10-th lower twin prime.
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CROSSREFS
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Cf. A001097, A147797.
Sequence in context: A023325 A094200 A003705 this_sequence A061308 A112879 A053861
Adjacent sequences: A146211 A146212 A146213 this_sequence A146215 A146216 A146217
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)hotmail.com), Oct 28 2008
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EXTENSIONS
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a(0) from Zak Seidov, Oct 29 2008
Edited and added cross-references. - M. F. Hasler (MHasler(AT)univ-ag.fr), Dec 06 2008
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