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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
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 (list; graph; refs; listen; history; text; internal format)
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-Fran├žois 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: A088888 A102996 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

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Last modified December 18 23:46 EST 2018. Contains 318245 sequences. (Running on oeis4.)