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

Author

Vladimir Joseph Stephan Orlovsky, May 15 2008

Keywords

• nonn

Examples

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

Programs

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];

Extensions

More terms from Emeric Deutsch, May 24 2008