A117874 Primes for which the level is equal to 5 in A117563.

17, 61, 131, 151, 271, 523, 541, 571, 751, 797, 971, 991, 997, 1291, 1321, 1361, 1741, 1901, 1913, 2011, 2179, 2297, 2341, 2441, 2447, 2551, 2791, 2851, 3301, 3511, 3761, 3803, 4051, 4391, 4397, 4423, 4441, 4561, 4651, 4703, 4759, 5101, 5471, 5483, 5521

Offset

1,1

Links

Remi Eismann, Table of n, a(n) for n=1..10000

Example

19=17+17 mod(3)=17+17 mod(15), level=5
157=151+151 mod(29)=151+151 mod(145) level=5
2203=2179+2179 mod(431)=2179+2179 mod(2155), level=5

Mathematica

f[n_] := Block[{d, j = 2, p = Prime@n}, d = Prime[n + 1] - p; While[j < p && Mod[p, j] != d, j++ ]; If[j == p, 0, j]]; g[n_] := Block[{d, k = p = Prime@n}, d = Prime[n + 1] - p; While[k > 0 && Mod[p, k] != d, k-- ]; If[k == 0, 0, k]]; h[n_] := Block[{a = f@n, b = g@n}, If[a == 0, 0, b/a]]; Prime@Select[ Range@763, h@# == 5 &] (* Robert G. Wilson v *)

Crossrefs

Cf. A117078.

Sequence in context: A156912 A141853 A139906 * A039607 A142299 A211579

Adjacent sequences: A117871 A117872 A117873 * A117875 A117876 A117877

Keyword

nonn

Author

Rémi Eismann, May 02 2006

Extensions

More terms from Robert G. Wilson v, May 06 2006

Edited by N. J. A. Sloane, May 14 2006

Status

approved