login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A106735 Numbers n such that n == prime(m) (mod prime(m+1)) for any m. 1
2, 3, 5, 7, 8, 11, 12, 13, 14, 17, 18, 19, 20, 23, 24, 26, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 88, 89, 90, 91, 92, 93, 95 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

24 because 24 mod 13 = 11. 40 because 40 mod 7 = 5. 51 because 51 mod 11 = 7.

MAPLE

N:= 500: # for all terms <= N

p:= 2:

S:= {}:

while p <= N do

  q:= nextprime(p);

  S:= S union {seq(i, i=p..N, q)};

  p:= q;

od:

sort(convert(S, list)); # Robert Israel, Mar 30 2018

MATHEMATICA

nn=150; u={}; Do[lst=Prime[i]+Range[0, Ceiling[nn/Prime[i+1]]]Prime[i+1]; u=Union[u, lst], {i, PrimePi[nn]}]; Intersection[u, Range[nn]] (Noe)

CROSSREFS

Sequence in context: A302245 A028728 A286758 * A028743 A082634 A100959

Adjacent sequences:  A106732 A106733 A106734 * A106736 A106737 A106738

KEYWORD

nonn

AUTHOR

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), May 14 2005

EXTENSIONS

Corrected and extended by T. D. Noe, Oct 25 2005

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 17 02:22 EST 2020. Contains 331976 sequences. (Running on oeis4.)