A081413 a(n) is the smallest p prime such that the largest prime divisor of the difference nextprime(a(n))-a(n) equals the n-th prime, prime(n).

3, 23, 139, 113, 1129, 2477, 1327, 30593, 81463, 44293, 34061, 404597, 265621, 155921, 1100977, 1098847, 1349533, 3117299, 6958667, 10343761, 6034247, 49268581, 83751121, 39389989, 166726367, 107534587, 232423823, 253878403

Offset

1,1

Comments

For n > 1, a(n) = A080082(n). - Zak Seidov, Jul 05 2013

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = min{ prime(j) : A006530(prime(j+1)-prime(j)) = prime(n) }.

Mathematica

t=Table[0, {100}]; ma[n_]:=FactorInteger[n][[-1, 1]]; Do[s=ma[Prime[n+1]-Prime[n]]; If[s<101&&t[[PrimePi[s]]]==0, t[[PrimePi[s]]]=Prime[n]], {n, 2, 170000000}]; t

Crossrefs

Cf. A001223, A006530, A080082, A000230, A000040.

Sequence in context: A031970 A196881 A049164 * A179328 A255952 A089950

Adjacent sequences: A081410 A081411 A081412 * A081414 A081415 A081416

Keyword

nonn

Author

Labos Elemer, Apr 02 2003

Extensions

Three more terms added from A080082 by Zak Seidov, Jul 05 2013

Typo in Mathematica program fixed by Zak Seidov, Jul 06 2013

Status

approved