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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A078854 Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e. when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626]. 14
23, 53, 263, 563, 593, 1223, 1283, 1613, 2333, 2543, 3533, 4013, 4643, 5843, 6263, 6353, 6563, 10853, 11483, 14543, 15263, 17483, 19073, 19373, 19463, 23663, 26723, 29123, 32363, 34253, 41603, 48473, 49193, 49523, 51413, 51473, 71333, 75983 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..1000

FORMULA

Primes p = p(i) such that p(i+1)=p+6, p(i+2)=p+6+2, p(i+3)=p+6+2+6.

EXAMPLE

p=23,23+6=29,23+6+2=31,23+6+2+6=37 are consecutive primes.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[7500]], 4, 1], Differences[#]=={6, 2, 6}&]][[1]] (* Harvey P. Dale, Apr 17 2015 *)

CROSSREFS

Cf. analogous prime quadruple sequences with various possible {2, 4, 6}-difference-patterns in brackets: A007530[242], A078847[246], A078848[264], A078849[266], A052378[424], A078850[426], A078851[462], A078852[466], A078853[624], A078854[626], A078855[642], A078856[646], A078857[662], A078858[664], A033451[666].

Sequence in context: A051650 A049438 A171432 * A078959 A238854 A045345

Adjacent sequences:  A078851 A078852 A078853 * A078855 A078856 A078857

KEYWORD

nonn

AUTHOR

Labos Elemer, Dec 11 2002

EXTENSIONS

Listed terms verified by Ray Chandler, Apr 20 2009

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified March 25 13:25 EDT 2017. Contains 284080 sequences.