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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A078847 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 pattern = [2, 4, 6]; short notation = [246] d-pattern. 28
 17, 41, 227, 347, 641, 1091, 1277, 1427, 1487, 1607, 2687, 3527, 3917, 4001, 4127, 4637, 4787, 4931, 8231, 9461, 10331, 11777, 12107, 13901, 14627, 20747, 21557, 23741, 25577, 26681, 26711, 27737, 27941, 28277, 29021, 31247, 32057, 32297 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Subsequence of A022004. - R. J. Mathar, Feb 10 2013 a(n) + 12 is the greatest term in the sequence of 4 consecutive primes with 3 consecutive gaps 2, 4, 6. - Muniru A Asiru, Aug 03 2017 LINKS Zak Seidov, Table of n, a(n) for n = 1..2000 FORMULA Primes p=prime(i) such that prime(i+1) = p+2, prime(i+2) = p+2+4, prime(i+3) = p+2+4+6. EXAMPLE 17, 17+2 = 19, 17+2+4 = 23, 17+2+4+6 = 29 are consecutive primes. MATHEMATICA d = Differences[Prime[Range[10000]]]; Prime[Flatten[Position[Partition[d, 3, 1], {2, 4, 6}]]] (* T. D. Noe, May 23 2011 *) Transpose[Select[Partition[Prime[Range[10000]], 4, 1], Differences[#] == {2, 4, 6}&]][[1]] (* Harvey P. Dale, Aug 07 2013 *) 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]. Cf. A190814[2,4,6,8], A190817[2,4,6,8,10], A190819[2,4,6,8,10,12], A190838[2,4,6,8,10,12,14] Sequence in context: A165668 A269425 A164602 * A201028 A328022 A287308 Adjacent sequences: A078844 A078845 A078846 * A078848 A078849 A078850 KEYWORD nonn AUTHOR Labos Elemer, Dec 11 2002 EXTENSIONS Listed terms verified by Ray Chandler, Apr 20 2009 Additional cross references from Harvey P. Dale, May 10 2014 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.

Last modified March 29 09:02 EDT 2023. Contains 361598 sequences. (Running on oeis4.)