login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A058296 Average of consecutive primes. 5
2, 4, 9, 15, 21, 30, 39, 45, 56, 64, 72, 81, 93, 102, 108, 120, 134, 144, 154, 165, 176, 186, 195, 205, 225, 231, 240, 254, 266, 274, 282, 300, 312, 324, 342, 351, 363, 376, 386, 399, 414, 426, 436, 446, 459, 465, 483, 495, 506, 522, 544, 560, 570, 582, 596 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

2 together with average of odd primes taken two at a time without overlaps, i.e., 2 together with average of (3,5), (7,11), (13,17), etc. - Harvey P. Dale, Apr 09 2018

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000

Donald Mills, Some Interesting Sequences.

FORMULA

a(1)=2, a(n) = (p(2n-2) + p(2n-1))/2 for n>1, where p(i) is the i-th prime.

MAPLE

with(linalg): v := linalg[vector](100): v[1] := 2: for j from 2 to 100 do v[j] := (ithprime(2*j-2)+ithprime(2*j-1))/2: od: print(v);

MATHEMATICA

Join[{2}, Mean/@Partition[Prime[Range[2, 121]], 2]] (* Harvey P. Dale, Apr 09 2018 *)

PROG

(PARI) { write("b058296.txt", 1, " ", 2); p2=2; for (n=2, 20000, p1=nextprime(p2+1); p2=nextprime(p1+1); a=(p1+p2)/2; write("b058296.txt", n, " ", a); ); } \\ Harry J. Smith, May 30 2009

CROSSREFS

A bisection of A024675. Cf. A079424.

Sequence in context: A042960 A266596 A045975 * A025217 A119759 A026036

Adjacent sequences:  A058293 A058294 A058295 * A058297 A058298 A058299

KEYWORD

easy,nonn

AUTHOR

Donald Mills (dmills(AT)math.siu.edu), Feb 16 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 19 10:34 EST 2019. Contains 320310 sequences. (Running on oeis4.)