A214680 a(1)=3; a(n) is the smallest prime of the form k*a(n-1) + 2.

3, 5, 7, 23, 71, 73, 367, 1103, 7723, 131293, 3807499, 19037497, 57112493, 1427812327, 15705935599, 141353420393, 989473942753, 44526327423887, 311684291967211, 4675264379508167, 4675264379508169, 275840598390981973, 4137608975864729597

Offset

1,1

Comments

Up to the end of the b-file, there are only 4 pairs of twin primes in the sequence, with lesser twin primes 3, 5, 71 and 4675264379508167. - Editors, Feb 20 2018

Links

Michael De Vlieger, Table of n, a(n) for n = 1..399

Mathematica

t = {3}; Do[k = 1; While[p = k*t[[-1]] + 2; ! PrimeQ[p], k++]; AppendTo[t, p], {25}]; t (* T. D. Noe, Jul 26 2012 *)

Crossrefs

Cf. A061092, A059411, A214523.

Sequence in context: A120384 A216124 A096505 * A141802 A029846 A108313

Adjacent sequences: A214677 A214678 A214679 * A214681 A214682 A214683

Keyword

nonn

Author

Robin Garcia, Jul 25 2012

Status

approved