A144727 -id:A144727 - cp's OEIS frontend

A144730 a(n) is the smallest positive integer m such that b * (Product_{k=1..n} a(k)) + 1 is prime, with b = 7.

4, 7, 13, 19, 33, 35, 36, 43, 48, 55, 59, 62, 87, 129, 149, 153, 159, 190, 228, 231, 245, 265, 266, 269, 284, 300, 329, 331, 340, 347, 372, 432, 449, 450, 461, 485, 496, 500, 514, 544, 560, 565, 594, 598, 605, 614, 639, 677, 684, 734, 736, 794, 804, 813, 882

Offset: 1

Artur Jasinski, Sep 19 2008

nonn

A046966, A046972, A144717, A144718, A144722, A144723, A144724, A144725, A144726, A144727, A144728, A144729, A144731

k = 7; a = {}; Do[If[PrimeQ[k n + 1], k = k n; AppendTo[a, n]], {n, 1, 3000}]; a (*Artur Jasinski*)

Definition corrected by Georg Fischer, Jun 18 2021

A144731 Primes arising in A144730.

Original entry on oeis.org

29, 197, 2549, 48413, 1597597, 55915861, 2012970961, 86557751281, 4154772061441, 228512463379201, 13482235339372801, 835898591041113601, 72723177420576883201, 9381289887254417932801

Offset: 1

Artur Jasinski, Sep 19 2008; corrected Sep 19 2008

nonn

Cf. A046966, A046972, A144717, A144718, A144722, A144723, A144724, A144725, A144726, A144727, A144728, A144729, A144730.

Typo in definition corrected by Arkadiusz Wesolowski, Aug 22 2011

A144930 Numbers k arising in A144929.

Original entry on oeis.org

1, 109, 11989, 1318681, 145042921, 15953402629, 1754729246269, 193004263686961, 21228714276319441, 2334965566131451549, 256824983560183350949, 28248413226054037152841, 3107068629882383903461561, 341749300873836175343618869, 37589316027492096903894614029

Offset: 1

Richard Choulet, Sep 25 2008

Numbers n such that there exists x in N : (x+1)^3 - x^3 = 7*n^2. - Richard Choulet, Oct 16 2008

			a(1) = 1 because 2^3-1^3 = 7*1. - _Richard Choulet_, Oct 16 2008

E.-A. Majol, Note #2228, L'Intermédiaire des Mathématiciens, 9 (1902), pp. 183-185. - N. J. A. Sloane, Mar 03 2022

Colin Barker, Table of n, a(n) for n = 1..450
Index entries for linear recurrences with constant coefficients, signature (110,-1).

Cf. A144729, A144727.

LinearRecurrence[{110,-1},{1,109},20] (* Harvey P. Dale, Oct 05 2016 *)

Vec(-x*(x-1)/(x^2-110*x+1) + O(x^20)) \\ Colin Barker, Jul 14 2016

a(n+2) = 110*a(n+1)-a(n). - Richard Choulet, Oct 16 2008

G.f.: -x*(x-1) / (x^2-110*x+1). - Colin Barker, Oct 17 2014

More terms from Colin Barker, Oct 17 2014

cp's OEIS Frontend

A144730 a(n) is the smallest positive integer m such that b * (Product_{k=1..n} a(k)) + 1 is prime, with b = 7.

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A144731 Primes arising in A144730.

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A144930 Numbers k arising in A144929.

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