A138700 Numbers k such that 2*k+1, 3*k+2, 4*k+3 and 5*k+4 are primes.

5, 89, 119, 755, 1175, 1469, 1769, 2105, 5045, 6725, 9065, 9365, 9659, 10379, 10505, 11639, 12899, 14279, 16385, 19229, 19985, 21845, 22559, 23309, 24905, 26795, 27005, 29489, 30359, 31409, 31835, 32549, 35999, 36455, 38339

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Example

5 is in the sequence because 11, 17, 23, and 29 are primes.

Maple

a:=proc(n) if isprime(2*n+1)=true and isprime(3*n+2)=true and isprime(4*n+3)= true and isprime(5*n+4)=true then n else end if end proc: seq(a(n), n=1..40000); # Emeric Deutsch, May 24 2008

Mathematica

a={}; Do[If[PrimeQ[n*2+1]&&PrimeQ[n*3+2]&&PrimeQ[n*4+3]&&PrimeQ[n*5+4], AppendTo[a, n]], {n, 1, 10^5}]; Print[a];

Crossrefs

Sequence in context: A266064 A106971 A136618 * A139937 A059696 A072216

Adjacent sequences: A138697 A138698 A138699 * A138701 A138702 A138703

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 15 2008

Extensions

More terms from Emeric Deutsch, May 24 2008

Status

approved