login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A123086 Numbers which are the arithmetic mean of 1000000 consecutive primes. 3
11860710, 19524458, 30466003, 57980974, 63924288, 90876871, 98124660, 100711080, 107813124, 130902871, 130920140, 133345096, 137765645, 149928192, 187600902, 214934436, 223349020, 235566127, 238768532, 239934902, 264189816, 270196572, 278851320, 285021997 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Corresponding indices of the first primes are: 275775, 740092, 1383476, 2948575, 3280201, 4764532, 5159226, 5299723, 5684491, 6926061, 6926985, 7056669, 7292768, 7940227, 9929283, 11358606, 11796712, 12431386, 12597486, 12657959, 13911879, 14221421, 14666768, 14983910, 15100050.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..467

EXAMPLE

11860710 is in the sequence since (p(275775) + p(275776) + ... + p(275775+999998) + p(275775+999999)) / 1000000 = 11860710 where p(n) is the n-th prime.

MATHEMATICA

Timing[s = 7472966967499 ; a = 2; b = 15485863; Do[s = s - a + (b = NextPrime[b]); a = NextPrime[a]; If[Mod[s, 10^6] < 1, Print[s/10^6]], {10^8}]]

PROG

(PARI){s = 7472966967499 ; a = 2; b = 15485863; for (k = 1, 10^9,

if(s%10^6 < 1, print( s/10^6)); b = nextprime (b + 2);

s = s - a + b; a = nextprime (a + 1))}

CROSSREFS

Cf. A102655 (arithmetic mean of four successive primes).

Cf. A122040 (arithmetic mean of six successive primes).

Cf. A122480 (arithmetic mean of k consecutive primes).

Cf. A122808 (arithmetic mean of n, but no fewer, consecutive primes).

Sequence in context: A234831 A280983 A184651 * A208490 A272021 A345718

Adjacent sequences: A123083 A123084 A123085 * A123087 A123088 A123089

KEYWORD

nonn

AUTHOR

Zak Seidov, Sep 27 2006

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 21:57 EST 2022. Contains 358453 sequences. (Running on oeis4.)