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A176813

Numbers n such that 3*A077800(2n-1)<p and p+2<3*A077800(2n) where A077800 is list of twin primes {p,p+2}.
(history; published version)

#9 by N. J. A. Sloane at Mon May 15 16:05:06 EDT 2017

STATUS

proposed

approved

#8 by Michel Marcus at Mon May 15 15:49:33 EDT 2017

STATUS

editing

proposed

#7 by Michel Marcus at Mon May 15 15:49:20 EDT 2017

COMMENTS

Indices n of lower twin primes A001359(n) such that both members of some twin prime pair (p,p+2) are inside the open interval (3*A001359(n),3*A006512(n)). [From __R. J. Mathar_, May 10 2010]

EXAMPLE

a(1)=1 because 3*A077800(2*1-1)=9<11 and 11+2<3*A077800(2*1)=15; a(2)=2 because 3*A077800(2*2-1)=15<17 and 17+2<3*A077800(2*2)=21; a(3)=7 because 3*A077800(2*7-1)=177<179 and 179+2<3*A077800(2*7)=183; a(4)=18 because 3*A077800(2*18-1)=807<809 and 809+2<3*A077800(2*18)=813; a(5)=60 because 3*A077800(2*60-1)=5847<5849 and 5849+2<3*A077800(2*60)=5853.

a(1)=1 because 3*A077800(2*1-1)=9<11 and 11+2<3*A077800(2*1)=15;

a(2)=2 because 3*A077800(2*2-1)=15<17 and 17+2<3*A077800(2*2)=21;

a(3)=7 because 3*A077800(2*7-1)=177<179 and 179+2<3*A077800(2*7)=183;

a(4)=18 because 3*A077800(2*18-1)=807<809 and 809+2<3*A077800(2*18)=813;

a(5)=60 because 3*A077800(2*60-1)=5847<5849 and 5849+2<3*A077800(2*60)=5853.

STATUS

reviewed

editing

#6 by Wesley Ivan Hurt at Mon May 15 15:49:07 EDT 2017

STATUS

proposed

reviewed

#5 by Eric Rowland at Mon May 15 15:48:02 EDT 2017

STATUS

editing

proposed

#4 by Eric Rowland at Mon May 15 15:47:53 EDT 2017

EXAMPLE

a(1)=1 because 3*A077800(2*1-1)=9<11 and 11+2<3*A0077800A077800(2*1)=15; a(2)=2 because 3*A077800(2*2-1)=15<17 and 17+2<3*A077800(2*2)=21; a(3)=7 because 3*A077800(2*7-1)=177<179 and 179+2<3*A077800(2*7)=183; a(4)=18 because 3*A077800(2*18-1)=807<809 and 809+2<3*A077800(2*18)=813; a(5)=60 because 3*A077800(2*60-1)=5847<5849 and 5849+2<3*A077800(2*60)=5853.

STATUS

approved

editing

Discussion

Mon May 15

15:48

Eric Rowland: Fixed sequence number

#3 by Russ Cox at Fri Mar 30 18:52:40 EDT 2012

AUTHOR

_Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), _, Apr 26 2010

Discussion

Fri Mar 30

18:52

OEIS Server: https://oeis.org/edit/global/257

#2 by Russ Cox at Fri Mar 30 17:40:23 EDT 2012

COMMENTS

Indices n of lower twin primes A001359(n) such that both members of some twin prime pair (p,p+2) are inside the open interval (3*A001359(n),3*A006512(n)). [From _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 10 2010]

EXTENSIONS

Extended beyond 60 by _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 10 2010

Discussion

Fri Mar 30

17:40

OEIS Server: https://oeis.org/edit/global/190

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Numbers n such that 3*A077800(2n-1)<p and p+2<3*A077800(2n) where A077800 is list of twin primes {p,p+2}.

DATA

1, 2, 7, 18, 60, 82, 149, 228, 229, 268, 325, 340, 372, 479, 508, 510, 515, 518, 619, 622, 710, 743, 790, 892, 910, 955, 998, 1020, 1158, 1184, 1215, 1266, 1310, 1363, 1431, 1478, 1567, 1885, 1921, 1979, 2066, 2316, 2476, 2541, 2688, 2704, 2781, 2798, 2809

OFFSET

1,2

COMMENTS

Indices n of lower twin primes A001359(n) such that both members of some twin prime pair (p,p+2) are inside the open interval (3*A001359(n),3*A006512(n)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2010]

EXAMPLE

a(1)=1 because 3*A077800(2*1-1)=9<11 and 11+2<3*A0077800(2*1)=15; a(2)=2 because 3*A077800(2*2-1)=15<17 and 17+2<3*A077800(2*2)=21; a(3)=7 because 3*A077800(2*7-1)=177<179 and 179+2<3*A077800(2*7)=183; a(4)=18 because 3*A077800(2*18-1)=807<809 and 809+2<3*A077800(2*18)=813; a(5)=60 because 3*A077800(2*60-1)=5847<5849 and 5849+2<3*A077800(2*60)=5853.

KEYWORD

nonn,new

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Apr 26 2010

EXTENSIONS

Extended beyond 60 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2010

STATUS

approved