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A095193 Common differences of the arithmetic progressions corresponding to A095181. 1
1, 11, 1, 7, 11, 47, 25, 17, 52, 23, 73, 97, 41, 61, 151, 131, 157, 139, 89, 239, 451, 281, 371, 509, 283, 661, 263, 841, 587, 839, 1339, 671, 1171, 499, 1283, 289, 1903, 743, 1621, 2609, 359, 2533, 1751, 2993, 1153, 6211, 881, 3011, 3613, 3631, 2771, 6869, 1553, 5801, 1159, 4603, 2311, 1141, 9097 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

How many terms are even?

LINKS

Jean-François Alcover, Table of n, a(n) for n = 2..200

FORMULA

a(n) = (A095182(n) - prime(n))/(n-1). [R. J. Mathar, Oct 14 2010]

MATHEMATICA

(* b = A095182 *) b[n_] := For[r = 1, True, r++, ro = Table[Prime[n] + k*r, {k, 0, n - 1}]; If[AllTrue[Rest[ro], CompositeQ[#] && ! Divisible[#, Prime[n]] &], Return[ro[[-1]]]]];

a[n_] := (b[n] - Prime[n])/(n - 1);

Table[a[n], {n, 2, 60}] (* Jean-François Alcover, Jan 15 2018, after R. J. Mathar *)

CROSSREFS

Cf. A095181.

Sequence in context: A010200 A086320 A185540 * A171250 A010201 A228407

Adjacent sequences:  A095190 A095191 A095192 * A095194 A095195 A095196

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 04 2004

EXTENSIONS

Extended beyond a(6) by R. J. Mathar, Oct 14 2010

a(43)-a(60) by Jean-François Alcover, Jan 15 2018

STATUS

approved

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Last modified June 12 20:17 EDT 2021. Contains 344963 sequences. (Running on oeis4.)