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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A088119 Sequence of primes p(n) such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime. 5
193, 223, 1607, 15733, 39877, 63647, 65407, 68207, 72673, 84299, 89977, 96787, 99137, 102533, 103687, 115837, 127807, 143567, 150373, 191999, 204793, 257867, 324217, 344957, 375253, 412033, 427433, 491149, 551717, 595117, 642527, 646897 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..2000

FORMULA

a(n) = A000040(A088066(n)).

EXAMPLE

p(44) = 193, 2*193 + 3 = 389 = p(77);

p(45) = 197, 2*197 + 3 = 397 = p(78);

p(46) = 199, 2*199 + 3 = 401 = p(79).

MAPLE

r:= 1: q:= 2: p:= 3: count:= 0:

while count < 100 do

  r:= q; q:= p; p:= nextprime(p);

  if isprime(2*r+3) and nextprime(2*r+3)=2*q+3 and nextprime(2*q+3)=2*p+3 then

    count:= count+1;

    A[count]:= r;

  fi

od:seq(A[i], i=1..100); # Robert Israel, Jul 01 2018

CROSSREFS

Subsequence of A089527.

Cf. A088066, A089450, A089525.

Sequence in context: A012856 A114859 A298728 * A226147 A142925 A060333

Adjacent sequences:  A088116 A088117 A088118 * A088120 A088121 A088122

KEYWORD

nonn

AUTHOR

Pierre CAMI, Nov 02 2003

EXTENSIONS

More terms from Ray Chandler, Nov 03 2003

Offset corrected by Robert Israel, Jul 01 2018

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 March 20 09:50 EDT 2019. Contains 321345 sequences. (Running on oeis4.)