A144594 - OEIS

A144594

Primes p such that p, p+4, p+10, p+22, p+24, p+42 are all primes.

19, 37, 499, 1009, 1279, 1429, 2689, 5077, 13687, 16879, 17467, 23017, 25579, 32299, 33577, 41179, 48757, 85597, 92377, 120997, 125617, 128389, 143239, 152419, 159769, 324427, 327469, 351037, 352399, 422857, 473719, 499669, 518737, 519349

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OFFSET

1,1

COMMENTS

Subsequence of A046136. - R. J. Mathar, Jan 14 2009

LINKS

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

MAPLE

isA046136 := proc(n) if isprime(n) and isprime(n+4) and isprime(n+10) then true; else false; fi; end: isA144594 := proc(n) if isA046136(n) and isprime(n+22) and isprime(n+24) and isprime(n+42) then true; else false; fi; end: for n from 2 to 1000000 do if isA144594(n) then printf("%d, ", n) ; fi; od: # R. J. Mathar, Jan 14 2009

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[p+4]&&PrimeQ[p+10]&&PrimeQ[p+22]&&PrimeQ[p+24]&&PrimeQ[p+42], AppendTo[lst, p]], {n, 3*8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 15 2009 *)

Select[Prime[Range[44000]], AllTrue[#+{4, 10, 22, 24, 42}, PrimeQ]&] (* Harvey P. Dale, Oct 02 2021 *)

CROSSREFS

Sequence in context: A244931 A350469 A111441 * A287310 A123028 A067205

Adjacent sequences: A144591 A144592 A144593 * A144595 A144596 A144597

KEYWORD

nonn

AUTHOR

Philip Mole (molep(AT)comcen.com.au), Jan 13 2009

EXTENSIONS

Definition corrected by N. J. A. Sloane, Jan 13 2009

Inserted missing values R. J. Mathar, Jan 14 2009

More terms from Vladimir Joseph Stephan Orlovsky, Jan 15 2009

STATUS

approved