A095182 - OEIS

A095182

Consider the triangle in which the j-th row begins with prime(j) and is the arithmetic progression with least common difference such that the remaining j-1 terms are composite and not divisible by prime(j). Sequence gives last term in each row.

2, 4, 27, 10, 39, 68, 299, 194, 159, 497, 261, 840, 1205, 576, 901, 2318, 2155, 2730, 2569, 1762, 4853, 9550, 6265, 8622, 12313, 7176, 17289, 7208, 23657, 17136, 25297, 41640, 21609, 38782, 17115, 45056, 10561, 70574, 28401, 63392, 104539, 14900

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..42.

MATHEMATICA

a[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]]]]]; Table[a[n], {n, 1, 42}] (* Jean-François Alcover, Sep 26 2017 *)

PROG

(PARI) For arithprog(p, j) see A095181. {m=42; for(j=1, m, p=prime(j); d=arithprog(p, j); print1(p+d*(j-1), ", "))}

CROSSREFS

Cf. A095181 for the first few rows of the triangle.

Sequence in context: A102996 A358563 A189896 * A104465 A175759 A098515

Adjacent sequences: A095179 A095180 A095181 * A095183 A095184 A095185

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 02 2004

EXTENSIONS

Edited and extended by Klaus Brockhaus, Jun 03 2004

STATUS

approved