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URL: https://oeis.org/A214523

⇱ A214523 - OEIS

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A214523
a(1) = 13, a(n) is smallest prime of the form k*a(n-1) + 1.
5
13, 53, 107, 643, 7717, 30869, 432167, 6050339, 12100679, 169409507, 9148113379, 439109442193, 5269313306317, 84309012901073, 7587811161096571, 303512446443862841, 69807862682088453431, 2652698781919361230379, 143245734223645506440467
OFFSET
1,1
COMMENTS
Sequence does not begin with a(1) = 2 or 3 (13 = 6*2+1 = 4*3*1; but 2*2+1 =5 or 2*3 +1 = 7 are smaller) , because this would be A061092 or A059411.
LINKS
EXAMPLE
53 = 4*13 + 1 ; 107 = 2*53 + 1.
MATHEMATICA
t = {13}; Do[k = 1; While[p = k*t[[-1]] + 1; ! PrimeQ[p], k++]; AppendTo[t, p], {20}]; t (* T. D. Noe, Jul 24 2012 *)
nxt[n_]:=Module[{k=1}, While[!PrimeQ[k*n+1], k++]; n*k+1]; NestList[nxt, 13, 20] (* Harvey P. Dale, Apr 28 2014 *)
PROG
(PARI) a=13; for(n=1, 200, b=a*n+1; if(isprime(b), a=b; print1(a, ", "); next(n=1)))
CROSSREFS
Sequence in context: A262287 A307749 A031905 * A087880 A228872 A041322
KEYWORD
nonn
AUTHOR
Robin Garcia, Jul 23 2012
STATUS
approved