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!)
A094744 Rearrangement of primes so that sum of the absolute value of the successive differences is also a prime. 3
2, 5, 3, 11, 7, 13, 19, 17, 23, 29, 47, 37, 67, 31, 43, 41, 53, 71, 59, 89, 61, 73, 79, 103, 83, 101, 107, 97, 109, 139, 127, 157, 131, 137, 113, 149, 167, 151, 163, 181, 193, 173, 197, 179, 191, 227, 251, 211, 277, 229, 271, 223, 307, 239, 263, 199, 241, 283, 257 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The smallest previously unused prime consistent with the definition is used at each step. - Franklin T. Adams-Watters, Oct 09 2006

LINKS

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

EXAMPLE

5-2 = 3 is prime, (5-2)+ (5-3) = 5 is a prime,(5-2)+(5-3)+(11-3) = 13 is a prime.

MAPLE

N:= 10000: # to use primes up to N

A[1]:= 2:

P:= select(isprime, [seq(i, i=3..N, 2)]):

s:= 0:

for n from 2   do

  for i from 1 to nops(P) do

    if isprime(s + abs(P[i]-A[n-1])) then

      s:= s+abs(P[i]-A[n-1]);

      A[n]:= P[i];

      P:= subsop(i=NULL, P);

      break

    fi

  od;

  if not assigned(A[n]) then break fi;

od:

seq(A[i], i=1..n-1); # Robert Israel, Sep 16 2016

CROSSREFS

Cf. A094743, A094745.

Sequence in context: A275677 A221183 A178174 * A229608 A185061 A129198

Adjacent sequences:  A094741 A094742 A094743 * A094745 A094746 A094747

KEYWORD

nonn

AUTHOR

Amarnath Murthy, May 24 2004

EXTENSIONS

Corrected and extended by Franklin T. Adams-Watters, Oct 09 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 09:20 EST 2020. Contains 332277 sequences. (Running on oeis4.)