A168144 First differences of A168143 which are different from 1, incremented by 14.

19, 23, 31, 47, 79

Offset

1,1

Comments

All terms of the sequence are primes greater than 17.

Are there more than 5 terms?

Links

Table of n, a(n) for n=1..5.

E. S. Rowland, A natural prime-generating recurrence, Journal of Integer Sequences, 11 (2008), Article 08.2.8.

V. Shevelev, An infinite set of generators of primes based on the Rowland idea and conjectures concerning twin primes, arXiv:0910.4676 [math.NT], 2009.

V. Shevelev, Generalizations of the Rowland theorem, arXiv:0911.3491 [math.NT], 2009-2010.

Mathematica

A168143[17] = 37;
A168143[n_] := A168143[n] = If[GCD[n, A168143[n - 1]] > 1 && FactorInteger[n][[1, 1]] > 17, 3 n - 14, A168143[n - 1] + 1]
DeleteCases[Differences[A168143 /@ Range[17, 100]], 1] + 14 (* Eric Rowland, Jan 27 2019 *)

Crossrefs

Cf. A168143, A167495, A167494, A167493, A167197, A167195, A167170, A167168, A106108, A132199, A167054, A167053, A166944, A166945, A116533, A163961, A163963, A084662, A084663, A134162, A135506, A135508, A118679, A120293.

Sequence in context: A269666 A007639 A261311 * A108271 A351121 A245585

Adjacent sequences: A168141 A168142 A168143 * A168145 A168146 A168147

Keyword

nonn

Author

Vladimir Shevelev, Nov 19 2009

Extensions

Corrected and edited by Eric Rowland, Jan 27 2019

Status

approved