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A138397

Primes k such that k = p+q+r+s+t where p, q, r, s, t are consecutive primes and (p,q) and (s,t) are twin prime pairs (i.e., q=p+2 and t=s+2).

181, 331, 1381, 6481, 6551, 8069, 10499, 11633, 17669, 17851, 27551, 44249, 45137, 50273, 51437, 68501, 73061, 85999, 90073, 90631, 112997, 115249, 142799, 154303, 186757, 196169, 237019, 238397, 247693, 250027, 266239, 278227, 291899, 337097, 344263, 354677

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OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

181 = (29 + 31) + 37 + (41 + 43) where 29, 31, 37, 41, 43 are consecutive primes.

MATHEMATICA

a={}; Do[p0=Prime[n]; a1=Prime[n-2]; a2=Prime[n-1]; b1=Prime[n+1]; b2=Prime[n+2]; sp=a1+a2+p0+b1+b2; If[PrimeQ[sp]&&a2-a1==2&&b2-b1==2, AppendTo[a, sp]], {n, 3, 10^3}]; a

Select[Total/@Select[Partition[Prime[Range[1000]], 5, 1], #[[2]]-#[[1]]== #[[5]] -#[[4]]==2&], PrimeQ] (* Harvey P. Dale, Aug 26 2019 *)

CROSSREFS

Sequence in context: A168473 A142920 A142058 * A179484 A142258 A323192

Adjacent sequences: A138394 A138395 A138396 * A138398 A138399 A138400

KEYWORD

nonn,less,changed

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 08 2008

EXTENSIONS

More terms from Harvey P. Dale, Aug 26 2019

Edited by Sean A. Irvine, Apr 07 2026

STATUS

approved

URL: https://oeis.org/A138397

⇱ A138397 - OEIS